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BT
3.9287 0 0 3.9287 77.6651 455.6334 Tm
(10)Tj
/TT9 1 Tf
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<00ef>Tj
/TT10 1 Tf
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(2)Tj
ET
87.585 335.971 m
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S
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[]0 d
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[]0 d
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S
[]0 d
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S
BT
3.9287 0 0 3.9287 77.6651 472.9197 Tm
(10)Tj
2.6191 0 0 2.6191 82.0194 475.3424 Tm
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87.585 335.971 m
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[]0 d
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S
q
87.585 474.36 175.581 -138.422 re
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0 0 1 RG
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S
Q
BT
3.9287 0 0 3.9287 157.2542 477.4705 Tm
(Relative Error convergence)Tj
-0.4083 -38.4167 TD
(Number of Iterations)Tj
0 3.9287 -3.9287 0 73.2125 389.3036 Tm
(||M)Tj
0 3.143 -3.143 0 75.1769 394.6074 Tm
(t+1)Tj
0 3.9287 -3.9287 0 73.2125 399.0599 Tm
( )Tj
/TT9 1 Tf
0.2778 0 TD
<00ef>Tj
/TT10 1 Tf
0.584 0 TD
( M)Tj
0 3.143 -3.143 0 75.1769 406.7864 Tm
(t)Tj
0 3.9287 -3.9287 0 73.2125 407.6376 Tm
(|| / ||M)Tj
0 3.143 -3.143 0 75.1769 418.2451 Tm
(t)Tj
0 3.9287 -3.9287 0 73.2125 419.0963 Tm
(||)Tj
ET
1 g
97.832 404.167 85.188 -18.367 re
f
1 G
97.832 385.8 m
97.832 404.167 l
183.02 404.167 l
183.02 385.8 l
97.832 385.8 l
S
0 G
97.832 404.167 m
183.02 404.167 l
97.832 385.8 m
183.02 385.8 l
183.02 385.8 m
183.02 404.167 l
97.832 385.8 m
97.832 404.167 l
97.832 385.8 m
183.02 385.8 l
97.832 385.8 m
97.832 404.167 l
97.832 404.167 m
183.02 404.167 l
97.832 385.8 m
183.02 385.8 l
183.02 385.8 m
183.02 404.167 l
97.832 385.8 m
97.832 404.167 l
S
BT
3.9287 0 0 3.9287 108.7346 400.0749 Tm
0 g
(||M)Tj
3.143 0 0 3.143 114.0384 398.1105 Tm
(t+1)Tj
3.9287 0 0 3.9287 118.4909 400.0749 Tm
( )Tj
/TT9 1 Tf
0.2778 0 TD
<00ef>Tj
/TT10 1 Tf
0.584 0 TD
( M)Tj
3.143 0 0 3.143 126.2174 398.1105 Tm
(t)Tj
3.9287 0 0 3.9287 127.0686 400.0749 Tm
(|| / ||M)Tj
3.143 0 0 3.143 137.6761 398.1105 Tm
(t)Tj
3.9287 0 0 3.9287 138.5274 400.0749 Tm
(|| for the matrix 2)Tj
/TT9 1 Tf
7.4663 0 TD
<00ef>Tj
/TT10 1 Tf
0.584 0 TD
(norm)Tj
-15.6336 -1.4167 TD
(||M)Tj
3.143 0 0 3.143 114.0384 392.5448 Tm
(t+1)Tj
3.9287 0 0 3.9287 118.4909 394.5092 Tm
( )Tj
/TT9 1 Tf
0.2778 0 TD
<00ef>Tj
/TT10 1 Tf
0.584 0 TD
( M)Tj
3.143 0 0 3.143 126.2174 392.5448 Tm
(t)Tj
3.9287 0 0 3.9287 127.0686 394.5092 Tm
(|| / ||M)Tj
3.143 0 0 3.143 137.6761 392.5448 Tm
(t)Tj
3.9287 0 0 3.9287 138.5274 394.5092 Tm
(|| for the matrix 1)Tj
/TT9 1 Tf
7.4663 0 TD
<00ef>Tj
/TT10 1 Tf
0.584 0 TD
(norm)Tj
-15.6336 -1.4167 TD
(||M)Tj
3.143 0 0 3.143 114.0384 386.9791 Tm
(t+1)Tj
3.9287 0 0 3.9287 118.4909 388.9435 Tm
( )Tj
/TT9 1 Tf
0.2778 0 TD
<00ef>Tj
/TT10 1 Tf
0.584 0 TD
( M)Tj
3.143 0 0 3.143 126.2174 386.9791 Tm
(t)Tj
3.9287 0 0 3.9287 127.0686 388.9435 Tm
(|| / ||M)Tj
3.143 0 0 3.143 137.6761 386.9791 Tm
(t)Tj
3.9287 0 0 3.9287 138.5274 388.9435 Tm
(|| for the Frobenius norm)Tj
ET
1 0 0 RG
[2.357 ]0 d
99.993 400.73 m
106.541 400.73 l
S
0 1 0 RG
[0.196 1.571 2.357 1.571 ]0 d
99.993 394.902 m
106.541 394.902 l
S
0 0 1 RG
[]0 d
99.993 389.107 m
106.541 389.107 l
S
BT
/TT2 1 Tf
8.9664 0 0 8.9664 67.56 304.44 Tm
[(Fig)13.4(.)-240.9(1)]TJ
/TT6 1 Tf
2.3662 0 TD
[(.)-321.2(Illustration)-240.9(of)-254.3(the)-254.3(con)40.2(v)13.4(e)0(r)13.4(gence)-281(to)-254.3(the)]TJ
/TT7 1 Tf
15.538 0 TD
()Tj
/TT6 1 Tf
0.5562 0 TD
[(x)13.4(e)0(d)-254.3(point.)]TJ
-18.7815 -2.409 TD
[(Figure)-240.9(1)-254.3(illustrates)-240.9(the)-240.9(second)-267.7(point)-254.3(of)-240.9(the)-254.3(abo)13.4(v)13.4(e)-267.7(theorem.)-307.8(On)]TJ
-1.6729 -1.2848 TD
(this)Tj
/TT7 1 Tf
1.6857 0 TD
()Tj
/TT6 1 Tf
0.5562 0 TD
[(gure,)-254.3(the)-254.3(relati)26.8(v)13.4(e)-240.9(error)]TJ
/F6 1 Tf
9.1531 0 TD
()Tj
/F2 1 Tf
0.5086 0 TD
(f)Tj
/F3 1 Tf
0.6023 0 TD
(\()Tj
/F8 1 Tf
0.5831 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 173.88 270.36 Tm
(t)Tj
/F3 1 Tf
8.9664 0 0 8.9664 177.24 271.32 Tm
(\))Tj
/F6 1 Tf
0.6156 0 TD
()Tj
/F8 1 Tf
1.2045 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 200.28 270.36 Tm
(t)Tj
/F6 1 Tf
8.9664 0 0 8.9664 203.64 271.32 Tm
()Tj
/F2 1 Tf
0.5086 0 TD
(/)Tj
/F6 1 Tf
0.5086 0 TD
()Tj
/F8 1 Tf
0.7093 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.2008 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 225.96 270.36 Tm
(t)Tj
/F6 1 Tf
8.9664 0 0 8.9664 229.32 271.32 Tm
()Tj
/TT6 1 Tf
0.7629 0 TD
[(has)-254.3(been)-254.3(plot-)]TJ
-20.7977 -1.3383 TD
[(ted)-254.3(v)13.4(ersus)]TJ
/F2 1 Tf
4.272 0 TD
(t)Tj
/TT6 1 Tf
0.629 0 TD
[(with)-240.9(initial)-240.9(v)26.8(alue)]TJ
/F8 1 Tf
7.1707 0.2543 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2543 TD
(M)Tj
/F9 1 Tf
5.9776 0 0 5.9776 164.76 258.36 Tm
(0)Tj
/F3 1 Tf
8.9664 0 0 8.9664 171.48 259.32 Tm
(=)Tj
/F8 1 Tf
1.2714 0.2543 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2543 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 189.6 258.36 Tm
0.097 Tc
[(NS)30.5(C)37.1(M)-6.3(E)]TJ
/TT6 1 Tf
8.9664 0 0 8.9664 222.6 259.32 Tm
0 Tc
(\(3\).)Tj
-17.6125 -2.3153 TD
[(Other)-334.6(simulations)-361.4(ha)13.4(v)13.4(e)-348(been)-361.4(performed)-348(with)-348(dif)26.8(ferent)-348(initial)]TJ
-1.6729 -1.2982 TD
[(v)26.8(alues)]TJ
/F8 1 Tf
2.9443 0.2543 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2543 TD
(M)Tj
/F9 1 Tf
5.9776 0 0 5.9776 82.92 225.96 Tm
(0)Tj
/TT6 1 Tf
8.9664 0 0 8.9664 89.16 226.92 Tm
[(\(e)13.4(x)-227.5(:)-307.8(sample)-240.9(Gaussian)-240.9(co)13.4(v)26.8(ariance)-254.3(estimate,)-227.5(matrix)-240.9(with)]TJ
-4.4031 -1.151 TD
[(uniform)-388.1(PDF)80.3(,)-361.4(deterministic)-388.1(T)80.3(oeplitz)-374.7(matrix\),)-401.5(each)-388.1(of)-388.1(them)-388.1(con-)]TJ
0 -1.1644 TD
[(ducting)-267.7(to)-254.3(the)-254.3(same)-254.3(v)26.8(alue)-267.7(with)-240.9(an)-254.3(e)13.4(xtremely)-267.7(f)13.4(ast)-240.9(con)40.2(v)13.4(e)0(r)13.4(gence)-281(:)]TJ
/F6 1 Tf
8.3244 -2.1279 TD
()Tj
/TT2 1 Tf
0.5086 0 TD
(f)Tj
/F3 1 Tf
0.333 0 TD
(\()Tj
/F8 1 Tf
0.5904 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
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(t)Tj
/F3 1 Tf
8.9664 0 0 8.9664 147.36 187.08 Tm
(\))Tj
/F6 1 Tf
0.629 0 TD
()Tj
/F8 1 Tf
1.2045 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 170.64 186.12 Tm
(t)Tj
/F6 1 Tf
8.9664 0 0 8.9664 174 187.08 Tm
0.2891 Tc
()Tj
1.2982 0 TD
-0.2239 Tc
()Tj
1.0841 0 TD
0 Tc
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 183.48 181.56 Tm
(t)Tj
/F5 1 Tf
0.4819 0 TD
0.0025 Tc
()Tj
/F3 1 Tf
8.9664 0 0 8.9664 207.12 187.08 Tm
0 Tc
(0)Tj
/TT6 1 Tf
-15.886 -2.6365 TD
(But)Tj
/F8 1 Tf
1.8201 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 87.84 162.36 Tm
0.1221 Tc
(fp)Tj
/TT6 1 Tf
8.9664 0 0 8.9664 98.28 163.44 Tm
0 Tc
[(is)-187.4(only)-214.1(gi)26.8(v)13.4(e)0(n)-214.1(i)0(n)-200.8(\(7\))-200.8(as)-200.8(an)-214.1(implicit)-187.4(function)-214.1(of)-200.7(the)-200.8(data:)]TJ
-5.4202 -1.325 TD
[(there)-281.1(is)-281.1(no)-294.4(closed)-294.4(form)-281.1(e)13.4(xpression)-307.8(for)]TJ
/F8 1 Tf
15.7522 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 197.64 150.48 Tm
0.1221 Tc
(fp)Tj
/TT6 1 Tf
8.9664 0 0 8.9664 206.28 151.56 Tm
0 Tc
[(.)-401.5(So,)-281(it)-281(is)-281(a)-281.1(signi)]TJ
/TT7 1 Tf
6.6932 0 TD
()Tj
/TT6 1 Tf
0.5562 0 TD
(cant)Tj
-24.7146 -1.325 TD
[(feature)-267.7(to)-254.3(characterize)]TJ
/F8 1 Tf
9.3549 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 140.28 138.6 Tm
0.1221 Tc
(fp)Tj
/TT6 1 Tf
8.9664 0 0 8.9664 151.2 139.68 Tm
0 Tc
[(by)-267.7(its)-267.7(properties.)-334.6(The)-267.7(statistical)-254.3(prop-)]TJ
-11.3223 -1.1644 TD
[(erties)-321.2(ha)13.4(v)13.4(e)-321.2(ne)26.8(v)13.4(e)0(r)-334.6(been)-334.6(in)40.1(v)13.4(estigated.)-521.9(The)-321.2(purpose)-348(of)-321.2(this)-321.2(paper)-334.6(is)]TJ
28.9214 70.3428 TD
(to)Tj
/TT7 1 Tf
1.0723 0 TD
()Tj
/TT6 1 Tf
0.5562 0 TD
[(ll)-281(these)-307.8(gaps)-294.4(by)-307.8(establishing)-307.8(the)-294.4(bias,)-294.4(the)-294.4(consistenc)13.4(y)-321.2(and)-307.8(the)]TJ
-1.6284 -1.1643 TD
[(asymptotic)-361.4(distrib)13.4(ution)-334.6(of)-334.6(this)-348(random)-348(matrix:)-481.8(this)-348(is)-334.6(the)-334.6(aim)-348(of)]TJ
T*
[(the)-254.3(ne)13.4(xt)-267.7(section.)]TJ
/TT2 1 Tf
7.9631 -2.8105 TD
(3.)Tj
/F8 1 Tf
1.8469 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 403.8 712.92 Tm
0.1686 Tc
(FP)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 417.72 713.88 Tm
0 Tc
[(PR)26.8(OPER)40.1(TIES)]TJ
/TT6 1 Tf
-12.1253 -2.2216 TD
[(In)-348(order)-348(to)-348(simplify)-334.6(the)-348(notations)-348(in)-334.6(the)-348(proofs,)-374.7(let)-334.6(us)-348(de)]TJ
/TT7 1 Tf
23.3938 0 TD
()Tj
/TT6 1 Tf
0.5561 0 TD
[(ne)-348(the)]TJ
-23.95 -1.1644 TD
[(follo)26.8(wing)-267.7(quantities:)]TJ
/F6 1 Tf
1.7131 -2.0075 TD
()Tj
/F8 1 Tf
1.258 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F3 1 Tf
1.2249 0 TD
(=)Tj
/F8 1 Tf
1.2778 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 363.12 664.4401 Tm
0.1221 Tc
(fp)Tj
/TT6 1 Tf
8.9664 0 0 8.9664 371.76 665.52 Tm
0 Tc
(;)Tj
/F6 1 Tf
-5.2864 -1.8067 TD
()Tj
/F10 1 Tf
1.0707 0 TD
()Tj
/F3 1 Tf
1.2715 0 TD
(=)Tj
/TT2 1 Tf
1.0841 0 TD
(M)Tj
/F5 1 Tf
5.9776 0 0 5.9776 363.6 653.16 Tm
()Tj
/F9 1 Tf
0.9637 0 TD
(1)Tj
/F7 1 Tf
0.6023 0 TD
(/)Tj
/F9 1 Tf
0.6425 0 TD
(2)Tj
/F8 1 Tf
8.9664 0 0 8.9664 384.12 651.48 Tm
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
0.174 Tc
(MM)Tj
/F5 1 Tf
5.9776 0 0 5.9776 400.92 653.16 Tm
0 Tc
()Tj
/F9 1 Tf
0.9637 0 TD
(1)Tj
/F7 1 Tf
0.6023 0 TD
(/)Tj
/F9 1 Tf
0.6425 0 TD
(2)Tj
/F6 1 Tf
8.9664 0 0 8.9664 419.76 649.32 Tm
()Tj
/TT2 1 Tf
0.9636 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 432 648.36 Tm
(m)Tj
/TT6 1 Tf
8.9664 0 0 8.9664 441.12 649.32 Tm
(where)Tj
/TT2 1 Tf
2.6838 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 468.6 648.36 Tm
(m)Tj
/TT6 1 Tf
8.9664 0 0 8.9664 477.72 649.32 Tm
[(is)-227.5(the)]TJ
/F2 1 Tf
2.3571 0 TD
(m)Tj
/F6 1 Tf
1.0707 0 TD
()Tj
/F2 1 Tf
0.9636 0 TD
(m)Tj
/TT6 1 Tf
1.1376 0 TD
(iden-)Tj
-21.5623 -1.1644 TD
[(tity)-240.9(matrix;)]TJ
/F6 1 Tf
-1.0707 -1.6328 TD
()Tj
/TT2 1 Tf
1.0707 0 TD
(X)Tj
/F3 1 Tf
1.1638 0 TD
(=)Tj
/TT6 1 Tf
1.2447 0 TD
-0.0134 Tc
[(ve)-13.4(c)]TJ
/F3 1 Tf
1.3877 0 TD
0 Tc
(\()Tj
/F10 1 Tf
0.4015 0 TD
()Tj
/F3 1 Tf
0.9904 0 TD
(\))Tj
/TT6 1 Tf
0.7227 0 TD
(where)Tj
/TT2 1 Tf
2.7908 0 TD
(X)Tj
/TT6 1 Tf
1.0568 0 TD
[(is)-334.6(the)-334.6(v)13.4(ector)-348(containing)-348(all)-334.6(the)-334.6(el-)]TJ
-9.7584 -1.1643 TD
[(ements)-307.8(of)]TJ
/F10 1 Tf
4.2678 0 TD
()Tj
/TT6 1 Tf
1.2848 0 TD
[(and)-307.8(v)13.4(e)0(c)-294.4(denotes)-321.2(the)-294.4(operator)-307.8(which)-307.8(reshapes)]TJ
-5.5526 -1.151 TD
(the)Tj
/F2 1 Tf
1.476 0 TD
(m)Tj
/F6 1 Tf
1.1376 0 TD
()Tj
/F2 1 Tf
1.0172 0 TD
(n)Tj
/TT6 1 Tf
0.8699 0 TD
[(matrix)-254.3(elements)-267.7(into)-240.9(a)]TJ
/F2 1 Tf
9.1812 0 TD
0.0046 Tc
(mn)Tj
/TT6 1 Tf
1.78 0 TD
0 Tc
[(column)-267.7(v)13.4(ector;)]TJ
/F6 1 Tf
-16.5326 -1.6462 TD
0.5568 Tc
()Tj
/TT6 1 Tf
2.1146 0 TD
0 Tc
[(denotes)-267.7(the)-254.3(transpose)-267.7(operator)53.5(.)]TJ
/TT2 1 Tf
-3.8277 -2.69 TD
[(3.1.)-602.2(Bias)-254.3(and)-240.9(consistency)]TJ
0 -1.9807 TD
[(Pr)13.4(oposition)-240.9(1)]TJ
/F8 1 Tf
6.424 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 373.44 545.76 Tm
0.1221 Tc
(fp)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 384.24 546.84 Tm
0 Tc
[(is)-254.3(unbiased)-267.7(and)-267.7(it)-240.9(is)-254.3(a)-254.3(consistent)-254.3(estimator)107.1(.)]TJ
/TT2 1 Tf
-8.3913 -2.583 TD
[(Pr)13.4(oof)-254.3(1)]TJ
/TT4 1 Tf
3.6907 0 TD
[(This)-240.9(pr)40.1(oof)-267.7(will)-240.9(appear)-267.7(in)-254.3(a)-254.3(forthcoming)-267.7(journal)-254.3(paper)107.1(.)]TJ
-3.6907 -1.1644 TD
[(It)-307.8(is)-307.8(too)-321.2(long)-321.2(to)]TJ
/TT8 1 Tf
6.6772 0 TD
()Tj
/TT4 1 Tf
0.5 0 TD
[(t)-307.8(her)40.1(e)-334.6(and)-321.2(we)-307.8(decided)-321.2(to)-321.2(detail)-307.8(the)-321.2(pr)40.1(oof)-307.8(of)-321.2(the)]TJ
-7.1772 -1.1643 TD
[(ne)13.4(xt)-254.3(pr)40.2(oposition.)]TJ
/TT2 1 Tf
0 -3.8544 TD
(3.2.)Tj
/F8 1 Tf
2.2886 0.2409 TD
(b)Tj
/TT2 1 Tf
-0.1874 -0.2409 TD
(M)Tj
/F7 1 Tf
5.9776 0 0 5.9776 336.36 467.16 Tm
0.1221 Tc
(fp)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 347.16 468.24 Tm
0 Tc
[(co)13.4(v)13.4(ariance)-281.1(matrix)]TJ
-4.2559 -1.8737 TD
[(Pr)13.4(oposition)-240.9(2)]TJ
/TT4 1 Tf
6.2344 0 TD
[(W)93.7(e)-200.8(have)-200.7(the)-200.8(following)-187.4(original)-200.7(r)40.1(esults)-200.8(with)-187.4(the)-187.4(abo)13.4(ve)]TJ
-6.2344 -1.151 TD
(notations:)Tj
1.4722 -2.3153 TD
(1.)Tj
/F6 1 Tf
1.3116 0.8565 TD
()Tj
ET
q
8.4 0 0 -0.48 341.628 428.508 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 341.6403 420.36 Tm
(N)Tj
/F8 1 Tf
1.0974 1.4186 TD
()Tj
/TT4 1 Tf
1.0974 -0.8164 TD
(Re)Tj
/F3 1 Tf
1.0547 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(X)Tj
/F3 1 Tf
0.7222 0 TD
(\))Tj
/TT4 1 Tf
-2.1784 -1.1644 TD
(Im)Tj
/F3 1 Tf
1.0552 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(X)Tj
/F3 1 Tf
0.7222 0 TD
(\))Tj
/F8 1 Tf
0.9528 1.9807 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 406.56 425.52 Tm
-0.0001 Tc
[(la)-7.9(w)]TJ
/F6 1 Tf
8.9664 0 0 8.9664 396.84 420.36 Tm
0 Tc
()Tj
0.4417 0 TD
-0.2239 Tc
[()13.4()]TJ
2.1682 0 TD
0 Tc
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 399.24 414.84 Tm
(N)Tj
/F5 1 Tf
1.0641 0 TD
()Tj
/F9 1 Tf
1.2247 0 TD
(+)Tj
/F5 1 Tf
0.9437 0 TD
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 432 420.36 Tm
(N)Tj
/F8 1 Tf
1.1644 0.8164 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.803 TD
(0)Tj
/F9 1 Tf
5.9776 0 0 5.9776 451.08 418.68 Tm
(2)Tj
/F7 1 Tf
0.6023 0 TD
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 461.16 420.36 Tm
(2)Tj
/F2 1 Tf
8.9664 0 0 8.9664 467.28 420.48 Tm
(,)Tj
/TT2 1 Tf
0.455 0 TD
(C)Tj
/F8 1 Tf
0.7227 0.803 TD
()Tj
/TT4 1 Tf
0.6424 -0.8164 TD
[(,)-214.1(wher)40.2(e)]TJ
/F7 1 Tf
5.9776 0 0 5.9776 513.6 425.52 Tm
-0.0001 Tc
[(la)-7.9(w)]TJ
/F6 1 Tf
8.9664 0 0 8.9664 511.32 420.36 Tm
0 Tc
()Tj
0.4818 0 TD
()Tj
0.4818 0 TD
()Tj
/TT4 1 Tf
1.2447 0 TD
[(r)40.2(ep-)]TJ
-21.9889 -1.7398 TD
[(r)40.1(esents)-267.7(the)-254.3(con)40.1(ver)40.1(g)13.4(ence)-281.1(in)-254.3(distrib)13.4(ution;)]TJ
-1.3116 -2.3956 TD
(2.)Tj
/F2 1 Tf
1.3121 0 TD
(N)Tj
/F4 1 Tf
1.0975 0 TD
(E)Tj
/F8 1 Tf
0.8426 0.803 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.8164 TD
(XX)Tj
/F5 1 Tf
5.9776 0 0 5.9776 368.52 386.88 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 374.76 390.48 Tm
()Tj
/F3 1 Tf
0.7628 -0.803 TD
(=)Tj
/F8 1 Tf
1.084 1.4052 TD
()Tj
/F2 1 Tf
0.8833 -0.8565 TD
(m)Tj
/F3 1 Tf
1.1376 0 TD
0.2312 Tc
(+1)Tj
ET
q
24 0 0 -0.48 399.228 384.108 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 407.16 375.48 Tm
0 Tc
(m)Tj
/F8 1 Tf
1.7934 2.2752 TD
()Tj
/F9 1 Tf
5.9776 0 0 5.9776 430.08 393.84 Tm
(2)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 435.72 383.28 Tm
(C)Tj
/F9 1 Tf
5.9776 0 0 5.9776 442.2 382.32 Tm
(1)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 448.56 383.28 Tm
[(wher)40.1(e)]TJ
/TT2 1 Tf
-10.0375 -3.6135 TD
(C)Tj
/F9 1 Tf
5.9776 0 0 5.9776 365.04 349.92 Tm
(1)Tj
/F3 1 Tf
8.9664 0 0 8.9664 371.76 350.88 Tm
(=)Tj
/F2 1 Tf
2.1012 0.7495 TD
(m)Tj
ET
q
24 0 0 -0.48 382.668 353.388 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 382.68 344.88 Tm
(m)Tj
/F3 1 Tf
1.1242 0 TD
0.2312 Tc
(+1)Tj
/F8 1 Tf
1.713 2.0744 TD
0 Tc
()Tj
/TT2 1 Tf
0.7629 -1.5926 TD
(P)Tj
/F6 1 Tf
0.8384 0 TD
()Tj
/F3 1 Tf
1.3565 0.7495 TD
(1)Tj
ET
q
8.16 0 0 -0.48 432.828 351.708 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 432.84 343.08 Tm
(m)Tj
/TT4 1 Tf
1.1644 0.6825 TD
(vec)Tj
/F3 1 Tf
1.3315 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 462.24 348.24 Tm
(m)Tj
/F3 1 Tf
8.9664 0 0 8.9664 469.32 349.2 Tm
(\))Tj
/TT4 1 Tf
0.4015 0 TD
(vec)Tj
/F3 1 Tf
1.3315 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 491.88 348.24 Tm
(m)Tj
/F3 1 Tf
8.9664 0 0 8.9664 498.96 349.2 Tm
(\))Tj
/F5 1 Tf
5.9776 0 0 5.9776 502.56 353.04 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 508.8 363.48 Tm
()Tj
/F3 1 Tf
1.0974 -1.4053 TD
(;)Tj
/TT6 1 Tf
1.8603 0 TD
(\(9\))Tj
/TT4 1 Tf
-23.7688 -3.8946 TD
(3.)Tj
/F2 1 Tf
1.3121 0 TD
(N)Tj
/F4 1 Tf
1.0975 0 TD
(E)Tj
/F8 1 Tf
0.8426 0.8164 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.8298 TD
(XX)Tj
/F5 1 Tf
5.9776 0 0 5.9776 368.52 319.68 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 372.48 323.28 Tm
()Tj
/F3 1 Tf
0.7495 -0.8164 TD
(=)Tj
/F8 1 Tf
1.084 1.4052 TD
()Tj
/F2 1 Tf
0.8967 -0.8431 TD
(m)Tj
/F3 1 Tf
1.1242 0 TD
0.2312 Tc
(+1)Tj
ET
q
24 0 0 -0.48 396.948 316.788 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 404.88 308.16 Tm
0 Tc
(m)Tj
/F8 1 Tf
1.7934 2.2752 TD
()Tj
/F9 1 Tf
5.9776 0 0 5.9776 427.68 326.52 Tm
(2)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 433.44 315.96 Tm
(C)Tj
/F9 1 Tf
5.9776 0 0 5.9776 439.92 315 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 446.28 315.96 Tm
[(wher)40.1(e)]TJ
/TT2 1 Tf
-11.1216 -3.6001 TD
(C)Tj
/F9 1 Tf
5.9776 0 0 5.9776 353.04 282.72 Tm
(2)Tj
/F3 1 Tf
8.9664 0 0 8.9664 359.76 283.68 Tm
(=)Tj
/F2 1 Tf
2.1012 0.7361 TD
(m)Tj
ET
q
24 0 0 -0.48 370.668 286.188 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 370.68 277.56 Tm
(m)Tj
/F3 1 Tf
1.1376 0 TD
0.2312 Tc
(+1)Tj
/F8 1 Tf
1.713 2.0878 TD
0 Tc
()Tj
/TT2 1 Tf
0.7495 -1.5926 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 406.44 280.08 Tm
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 412.92 281.76 Tm
(2)Tj
/F6 1 Tf
8.9664 0 0 8.9664 419.52 282 Tm
()Tj
/F3 1 Tf
1.3517 0.7361 TD
(1)Tj
ET
q
8.16 0 0 -0.48 429.828 284.388 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 429.84 275.88 Tm
(m)Tj
/TT4 1 Tf
1.1644 0.6825 TD
(vec)Tj
/F3 1 Tf
1.3315 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 459.24 281.04 Tm
(m)Tj
/F3 1 Tf
8.9664 0 0 8.9664 466.32 282 Tm
(\))Tj
/TT4 1 Tf
0.4015 0 TD
(vec)Tj
/F3 1 Tf
1.3315 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 488.88 281.04 Tm
(m)Tj
/F3 1 Tf
8.9664 0 0 8.9664 495.96 282 Tm
(\))Tj
/F5 1 Tf
5.9776 0 0 5.9776 499.56 285.72 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 505.8 296.28 Tm
()Tj
/F2 1 Tf
1.0974 -1.4053 TD
(.)Tj
/TT6 1 Tf
1.6863 0 TD
(\(10\))Tj
-23.0595 -3.7473 TD
[(Notice)-254.3(that)]TJ
/TT2 1 Tf
4.6736 0 TD
(C)Tj
/TT6 1 Tf
0.7222 0 TD
[(,)-254.3(which)-254.3(is)-254.3(the)-254.3(co)13.4(v)26.8(ariance)-281(matrix)-240.9(of)]TJ
/F8 1 Tf
14.0904 1.4052 TD
()Tj
/TT6 1 Tf
1.0974 -0.803 TD
(Re)Tj
/F3 1 Tf
1.1108 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(X)Tj
/F3 1 Tf
0.7088 0 TD
(\))Tj
/TT6 1 Tf
-2.2211 -1.1644 TD
(Im)Tj
/F3 1 Tf
1.1108 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(X)Tj
/F3 1 Tf
0.7088 0 TD
(\))Tj
/F8 1 Tf
0.9641 1.9673 TD
()Tj
/TT6 1 Tf
0.7093 -1.4052 TD
(,)Tj
-26.151 -1.9272 TD
[(is)-187.4(fully)-200.7(characterized)-200.7(by)-200.8(the)-200.7(tw)13.4(o)-187.4(quantities)]TJ
/F4 1 Tf
16.8592 0 TD
(E)Tj
/F8 1 Tf
0.8068 0.803 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.8164 TD
(XX)Tj
/F5 1 Tf
5.9776 0 0 5.9776 484.56 236.4 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 490.8 240 Tm
()Tj
/TT6 1 Tf
0.6558 -0.803 TD
(and)Tj
/F4 1 Tf
1.6446 0 TD
(E)Tj
/F8 1 Tf
0.8313 0.803 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.8164 TD
(XX)Tj
/F5 1 Tf
5.9776 0 0 5.9776 536.04 236.4 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 540 240 Tm
()Tj
/TT6 1 Tf
0.4684 -0.803 TD
(.)Tj
/TT2 1 Tf
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8.9664 0 0 8.9664 252.36 524.28 Tm
()Tj
/TT2 1 Tf
0.6424 -0.803 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 262.56 514.8 Tm
(i)Tj
/F6 1 Tf
8.9664 0 0 8.9664 265.68 524.16 Tm
()Tj
/TT2 1 Tf
0.803 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 276.36 523.2 Tm
(m)Tj
/F2 1 Tf
8.9664 0 0 8.9664 285 524.16 Tm
(,)Tj
/TT6 1 Tf
-1.5123 -2.061 TD
(\(14\))Tj
/TT4 1 Tf
-24.7324 -1.1777 TD
[(or)-254.3(equivalently)-267.7(using)-267.7(e)13.4(xpr)40.2(ession)-267.7(\(11\),)]TJ
/F10 1 Tf
4.818 -3.1049 TD
()Tj
/F6 1 Tf
1.2714 0 TD
()Tj
/F2 1 Tf
1.2312 0.7361 TD
(m)Tj
ET
q
8.4 0 0 -0.48 115.188 469.788 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 115.2 461.16 Tm
(N)Tj
/F7 1 Tf
5.9776 0 0 5.9776 130.8 478.44 Tm
(N)Tj
/F8 1 Tf
8.9664 0 0 8.9664 127.32 475.8 Tm
(X)Tj
/F7 1 Tf
5.9776 0 0 5.9776 128.04 456.84 Tm
(i)Tj
/F9 1 Tf
0.4417 0 TD
0.0085 Tc
(=1)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 172.08 473.88 Tm
0 Tc
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 176.64 471.6 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 179.76 473.88 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 184.2 477.72 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
ET
q
73.92 0 0 -0.48 143.388 469.788 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 143.4 454.68 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 147.84 457.8 Tm
()Tj
/F7 1 Tf
0 -0.9234 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 152.16 454.68 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 156.6 452.4 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 161.4 467.28 Tm
()Tj
/F3 1 Tf
0.7495 -1.4588 TD
(1)Tj
/F6 1 Tf
0.7495 0 TD
()Tj
/TT2 1 Tf
1.1509 0.7361 TD
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 189.72 464.64 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
/F10 1 Tf
8.9664 0 0 8.9664 194.04 460.8 Tm
()Tj
/TT2 1 Tf
0.9904 0 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 207.36 458.52 Tm
(i)Tj
ET
q
25.32 0 0 -0.48 185.148 456.708 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 189.6 448.08 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 194.16 451.2 Tm
()Tj
/F7 1 Tf
0 -0.9234 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 198.48 448.08 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 202.92 445.8 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 210.48 467.28 Tm
()Tj
/F6 1 Tf
0.9904 0 TD
()Tj
/TT2 1 Tf
1.0172 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 232.08 466.32 Tm
(m)Tj
/F2 1 Tf
8.9664 0 0 8.9664 240.6 467.28 Tm
(.)Tj
/TT6 1 Tf
3.4395 0 TD
(\(15\))Tj
/TT4 1 Tf
-23.0595 -3.667 TD
[(W)93.7(e)-254.3(obtain)-254.3(at)-254.3(the)]TJ
/TT8 1 Tf
6.7555 0 TD
()Tj
/TT4 1 Tf
0.5 0 TD
[(r)13.4(s)0(t)-254.3(o)0(r)40.1(der)107.1(,)-267.7(for)-254.3(lar)40.1(g)13.4(e)-267.7(N,)]TJ
/F10 1 Tf
-4.8599 -3.1049 TD
()Tj
/F6 1 Tf
1.2715 0 TD
()Tj
/F2 1 Tf
1.2312 0.7495 TD
(m)Tj
ET
q
8.4 0 0 -0.48 108.468 409.068 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 108.48 400.44 Tm
(N)Tj
/F7 1 Tf
5.9776 0 0 5.9776 123.96 417.72 Tm
(N)Tj
/F8 1 Tf
8.9664 0 0 8.9664 120.6 415.08 Tm
(X)Tj
/F7 1 Tf
5.9776 0 0 5.9776 121.2 396.12 Tm
(i)Tj
/F9 1 Tf
0.4417 0 TD
0.0085 Tc
(=1)Tj
/F8 1 Tf
8.9664 0 0 8.9664 135.36 419.16 Tm
0 Tc
()Tj
/TT2 1 Tf
0.8967 -0.6959 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 147.84 410.64 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 150.96 412.92 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 155.52 416.76 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
ET
q
16.56 0 0 -0.48 143.388 408.828 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 143.4 400.2 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 147.84 403.32 Tm
()Tj
/F7 1 Tf
0 -0.9234 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 152.16 400.2 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 156.6 397.92 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 161.4 418.92 Tm
()Tj
/F3 1 Tf
0.7495 -1.4588 TD
0.2356 Tc
(1+)Tj
/TT2 1 Tf
1.9004 0.7361 TD
0 Tc
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 189.72 416.28 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
/F10 1 Tf
8.9664 0 0 8.9664 194.04 412.44 Tm
()Tj
/TT2 1 Tf
0.9904 0 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 207.36 410.16 Tm
(i)Tj
ET
q
25.32 0 0 -0.48 185.148 408.228 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 189.6 399.72 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 194.16 402.72 Tm
()Tj
/F7 1 Tf
0 -0.9034 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 198.48 399.72 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 202.92 397.32 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 210.48 418.92 Tm
()Tj
0.7628 0.0268 TD
()Tj
/F6 1 Tf
0.977 -1.4052 TD
()Tj
/TT2 1 Tf
1.0305 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 238.8 405.6 Tm
(m)Tj
/F2 1 Tf
8.9664 0 0 8.9664 247.44 406.56 Tm
(.)Tj
/TT6 1 Tf
2.6767 0 TD
(\(16\))Tj
/TT4 1 Tf
-23.0595 -3.0514 TD
-0.0937 Tc
(To)Tj
/TT8 1 Tf
1.19 0 TD
0 Tc
()Tj
/TT4 1 Tf
0.5 0 TD
[(nd)-240.9(the)-227.5(e)13.4(xplicit)-214.1(e)13.4(xpr)40.2(ession)-254.3(of)]TJ
/F10 1 Tf
11.3167 0 TD
()Tj
/TT4 1 Tf
1.2045 0 TD
[(in)-240.9(terms)-227.5(of)-227.5(data,)-227.5(the)-240.9(abo)13.4(ve)]TJ
-15.8841 -1.151 TD
[(e)13.4(xpr)40.2(ession)-267.7(can)-267.7(be)-254.3(r)40.1(eor)40.2(ganized)-281.1(as:)]TJ
/F10 1 Tf
0.8967 -4.0685 TD
()Tj
/F6 1 Tf
1.2179 0 TD
()Tj
/F2 1 Tf
1.1643 0.7495 TD
(m)Tj
ET
q
8.4 0 0 -0.48 78.948 334.908 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 78.96 326.28 Tm
(N)Tj
/F7 1 Tf
5.9776 0 0 5.9776 94.56 343.56 Tm
(N)Tj
/F8 1 Tf
8.9664 0 0 8.9664 91.08 340.92 Tm
(X)Tj
/F7 1 Tf
5.9776 0 0 5.9776 91.8 321.96 Tm
(i)Tj
/F9 1 Tf
0.4417 0 TD
0.0085 Tc
(=1)Tj
/F8 1 Tf
8.9664 0 0 8.9664 105.96 345 Tm
0 Tc
()Tj
/TT2 1 Tf
0.8833 -0.7227 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 118.44 336.24 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 121.56 338.52 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 126.12 342.36 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
ET
q
16.56 0 0 -0.48 113.868 334.428 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 113.88 325.8 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 118.44 328.92 Tm
()Tj
/F7 1 Tf
0 -0.9234 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 122.76 325.8 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 127.2 323.4 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 133.8 338.52 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 138.24 342.36 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
/F10 1 Tf
8.9664 0 0 8.9664 142.56 338.52 Tm
()Tj
/TT2 1 Tf
0.9904 0 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 156 336.24 Tm
(i)Tj
ET
q
25.32 0 0 -0.48 133.788 334.428 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 138.24 325.8 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 142.68 328.92 Tm
()Tj
/F7 1 Tf
0 -0.9234 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 147 325.8 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 151.56 323.4 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 159.12 345 Tm
()Tj
/F6 1 Tf
1.0439 -1.4052 TD
()Tj
/F2 1 Tf
1.2313 0.7495 TD
(m)Tj
ET
q
8.4 0 0 -0.48 179.388 334.908 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 179.4 326.28 Tm
(N)Tj
/F7 1 Tf
5.9776 0 0 5.9776 194.88 343.56 Tm
(N)Tj
/F8 1 Tf
8.9664 0 0 8.9664 191.52 340.92 Tm
(X)Tj
/F7 1 Tf
5.9776 0 0 5.9776 192.24 321.96 Tm
(i)Tj
/F9 1 Tf
0.4417 0 TD
0.0085 Tc
(=1)Tj
/F8 1 Tf
8.9664 0 0 8.9664 206.28 345 Tm
0 Tc
()Tj
/TT2 1 Tf
0.8967 -0.7227 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 218.76 336.24 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 222 338.52 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 226.44 342.36 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
ET
q
16.56 0 0 -0.48 214.308 334.428 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 214.32 325.8 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 218.76 328.92 Tm
()Tj
/F7 1 Tf
0 -0.9234 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 223.08 325.8 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 227.64 323.4 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 230.76 345 Tm
()Tj
/F6 1 Tf
0.9904 -1.4052 TD
()Tj
/TT2 1 Tf
1.0172 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 252.24 331.44 Tm
(m)Tj
/F2 1 Tf
8.9664 0 0 8.9664 260.88 332.4 Tm
(.)Tj
/TT6 1 Tf
1.1777 0 TD
(\(17\))Tj
/TT4 1 Tf
-23.0595 -3.212 TD
[(T)93.7(o)-267.7(solve)-281(this)]TJ
/F2 1 Tf
5.2784 0 TD
(m)Tj
/F9 1 Tf
5.9776 0 0 5.9776 120.12 307.44 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 124.2 303.6 Tm
[(-system,)-267.7(the)-281(abo)13.4(ve)-294.4(equation)-294.4(has)-281(to)-267.7(be)-281(r)40.1(e)13.4(writ-)]TJ
-8.311 -1.1644 TD
[(ten)-254.3(as:)]TJ
/TT2 1 Tf
5.3266 -3.0915 TD
0.174 Tc
(BX)Tj
/F6 1 Tf
1.8442 0 TD
0 Tc
()Tj
/TT4 1 Tf
1.0841 0 TD
(vec)Tj
/F8 1 Tf
1.5016 1.7131 TD
( )Tj
/F2 1 Tf
0.9636 -0.9904 TD
(m)Tj
ET
q
8.4 0 0 -0.48 145.668 267.708 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 145.68 259.2 Tm
(N)Tj
/F7 1 Tf
5.9776 0 0 5.9776 161.28 276.48 Tm
(N)Tj
/F8 1 Tf
8.9664 0 0 8.9664 157.8 273.72 Tm
(X)Tj
/F7 1 Tf
5.9776 0 0 5.9776 158.52 254.88 Tm
(i)Tj
/F9 1 Tf
0.4417 0 TD
0.0085 Tc
(=1)Tj
/F8 1 Tf
8.9664 0 0 8.9664 172.68 277.92 Tm
0 Tc
()Tj
/TT2 1 Tf
0.8833 -0.7227 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 185.16 269.16 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 188.28 271.44 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 192.72 275.28 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
ET
q
16.56 0 0 -0.48 180.588 267.228 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 180.6 258.6 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 185.16 261.72 Tm
()Tj
/F7 1 Tf
0 -0.9034 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 189.48 258.6 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 193.92 256.32 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 197.04 277.92 Tm
()Tj
/F6 1 Tf
0.9904 -1.4186 TD
()Tj
/TT2 1 Tf
1.0305 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 218.64 264.24 Tm
(m)Tj
/F8 1 Tf
8.9664 0 0 8.9664 225.72 280.8 Tm
(!)Tj
/F2 1 Tf
1.151 -1.7131 TD
(,)Tj
/TT6 1 Tf
3.9481 0 TD
(\(18\))Tj
/TT4 1 Tf
-24.7324 -2.5562 TD
[(wher)40.2(e)]TJ
/F6 1 Tf
1.7131 -1.8603 TD
()Tj
/TT2 1 Tf
1.0707 0 TD
(X)Tj
/F3 1 Tf
1.0032 0 TD
(=)Tj
/TT4 1 Tf
1.0841 0 TD
(vec)Tj
/F3 1 Tf
1.3315 0 TD
(\()Tj
/F10 1 Tf
0.4015 0 TD
()Tj
/F3 1 Tf
0.9904 0 TD
(\))Tj
/TT4 1 Tf
0.5755 0 TD
(,)Tj
/F6 1 Tf
-6.4569 -2.6365 TD
()Tj
/TT2 1 Tf
1.0707 0 TD
(B)Tj
/F3 1 Tf
0.948 0 TD
(=)Tj
/TT2 1 Tf
1.0841 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 96.36 200.4 Tm
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 102.84 202.08 Tm
(2)Tj
/F6 1 Tf
8.9664 0 0 8.9664 109.32 202.2 Tm
()Tj
/F2 1 Tf
1.1777 0.7495 TD
(m)Tj
ET
q
8.4 0 0 -0.48 119.748 204.708 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 119.76 196.08 Tm
(N)Tj
/F7 1 Tf
5.9776 0 0 5.9776 135.24 213.36 Tm
(N)Tj
/F8 1 Tf
8.9664 0 0 8.9664 131.88 210.72 Tm
(X)Tj
/F7 1 Tf
5.9776 0 0 5.9776 132.6 191.76 Tm
(i)Tj
/F9 1 Tf
0.4417 0 TD
0.0085 Tc
(=1)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 156.96 208.92 Tm
0 Tc
(D)Tj
/F7 1 Tf
5.9776 0 0 5.9776 163.44 207.96 Tm
(i)Tj
ET
q
27.84 0 0 -0.48 147.828 204.708 cm
/Im1 Do
Q
BT
/F3 1 Tf
8.9664 0 0 8.9664 147.84 196.08 Tm
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 156 193.8 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 159.12 196.08 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 163.56 199.2 Tm
()Tj
/F7 1 Tf
0 -0.9235 TD
(i)Tj
/F3 1 Tf
8.9664 0 0 8.9664 167.88 196.08 Tm
(\))Tj
/F9 1 Tf
5.9776 0 0 5.9776 171.48 198.72 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 177.24 202.2 Tm
(,)Tj
/F6 1 Tf
-12.5134 -2.8506 TD
()Tj
/TT2 1 Tf
1.0707 0 TD
(D)Tj
/F7 1 Tf
5.9776 0 0 5.9776 81.12 175.68 Tm
(i)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 86.4 176.64 Tm
[(is)-240.9(the)]TJ
/F2 1 Tf
2.3705 0 TD
(m)Tj
/F9 1 Tf
5.9776 0 0 5.9776 115.8 180.36 Tm
(2)Tj
/F6 1 Tf
8.9664 0 0 8.9664 121.56 176.64 Tm
()Tj
/F2 1 Tf
1.0038 0 TD
(m)Tj
/F9 1 Tf
5.9776 0 0 5.9776 138.72 180.36 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 144.96 176.64 Tm
[(matrix)-240.9(de)]TJ
/TT8 1 Tf
3.7956 0 TD
()Tj
/TT4 1 Tf
0.5 0 TD
[(ned)-267.7(by)]TJ
/TT2 1 Tf
2.8963 0 TD
(D)Tj
/F7 1 Tf
5.9776 0 0 5.9776 215.64 175.68 Tm
(i)Tj
/F3 1 Tf
8.9664 0 0 8.9664 221.4 176.64 Tm
0.2847 Tc
(=\()Tj
/F2 1 Tf
1.4856 0 TD
0 Tc
(d)Tj
/F7 1 Tf
5.9776 0 0 5.9776 239.52 175.56 Tm
0.0218 Tc
(kl)Tj
/F3 1 Tf
8.9664 0 0 8.9664 246.36 176.64 Tm
0 Tc
(\))Tj
/F9 1 Tf
5.9776 0 0 5.9776 249.96 181.2 Tm
(\()Tj
/F7 1 Tf
0.4819 0 TD
(i)Tj
/F9 1 Tf
0.4417 0 TD
(\))Tj
-0.9236 -1.325 TD
(1)Tj
/F5 1 Tf
0.6023 0 TD
()Tj
/F7 1 Tf
0.9637 0 TD
0.0218 Tc
[(k,)19.9(l)]TJ
/F5 1 Tf
1.4657 0 TD
0 Tc
()Tj
/F7 1 Tf
0.9637 0 TD
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 280.32 174.96 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 74.64 164.88 Tm
(with)Tj
/F2 1 Tf
7.8025 -1.1777 TD
(d)Tj
/F7 1 Tf
5.9776 0 0 5.9776 149.4 153.24 Tm
0.0218 Tc
(kl)Tj
/F3 1 Tf
8.9664 0 0 8.9664 158.88 154.32 Tm
0 Tc
(=)Tj
/F2 1 Tf
1.0841 0 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 173.16 153.36 Tm
(p)Tj
ET
q
4.92 0 0 -0.48 179.628 159.828 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 179.64 154.32 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 184.56 152.16 Tm
(q)Tj
ET
q
4.92 0 0 -0.48 190.908 159.828 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 190.92 154.32 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 195.84 152.16 Tm
(p)Tj
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4.9813 0 0 4.9813 199.68 153.84 Tm
()Tj
/F2 1 Tf
8.9664 0 0 8.9664 205.08 154.32 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 209.64 152.88 Tm
(q)Tj
/F12 1 Tf
4.9813 0 0 4.9813 213.24 154.56 Tm
()Tj
/TT4 1 Tf
8.9664 0 0 8.9664 74.64 132.84 Tm
(and)Tj
/F8 1 Tf
1.7398 1.4053 TD
()Tj
/F2 1 Tf
1.325 -0.803 TD
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/F3 1 Tf
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/F3 1 Tf
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(+)Tj
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(\()Tj
/F2 1 Tf
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/F6 1 Tf
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()Tj
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-0.0053 Tc
(1\))Tj
/TT4 1 Tf
2.3823 0 TD
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/F3 1 Tf
2.8335 0 TD
(1)Tj
/F6 1 Tf
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()Tj
/F2 1 Tf
1.0841 0 TD
0.006 Tc
[(p,)-163.6(q)]TJ
/F6 1 Tf
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0 Tc
()Tj
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(m)Tj
-16.6989 -1.1644 TD
(l)Tj
/F3 1 Tf
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(=)Tj
/F2 1 Tf
1.0841 0 TD
(p)Tj
/F5 1 Tf
5.9776 0 0 5.9776 122.04 131.64 Tm
()Tj
/F3 1 Tf
8.9664 0 0 8.9664 126.72 127.8 Tm
(+)Tj
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(m)Tj
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(q)Tj
/F5 1 Tf
5.9776 0 0 5.9776 152.16 131.64 Tm
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 156.84 127.8 Tm
()Tj
/F3 1 Tf
1.0172 0 TD
-0.0053 Tc
(1\))Tj
/TT4 1 Tf
2.0343 0 TD
0 Tc
(with)Tj
/F3 1 Tf
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(1)Tj
/F6 1 Tf
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()Tj
/F2 1 Tf
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(p)Tj
/F5 1 Tf
5.9776 0 0 5.9776 231.12 131.64 Tm
()Tj
/F2 1 Tf
8.9664 0 0 8.9664 233.76 127.8 Tm
0.1696 Tc
(,q)Tj
/F5 1 Tf
5.9776 0 0 5.9776 242.28 131.64 Tm
0 Tc
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 247.56 127.8 Tm
()Tj
/F2 1 Tf
1.0841 0 TD
(m)Tj
/TT4 1 Tf
1.7666 0.5621 TD
(.)Tj
5.6745 69.9413 TD
[(Notice)-321.2(that)-321.2(the)-321.2(vec)-321.2(oper)13.4(ator)-334.6(r)40.2(eor)40.1(ganizes)-348(the)-334.6(matrix)-307.8(elements)]TJ
-1.6729 -1.1643 TD
[(as)-334.6(follows:)-468.4(if)]TJ
/TT2 1 Tf
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(H)Tj
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(=)Tj
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(`)Tj
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(h)Tj
/F7 1 Tf
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(1)Tj
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[(i,)-5.7(j)]TJ
/F5 1 Tf
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(m)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 438.24 749.52 Tm
[(and)-334.6(vec)]TJ
/F3 1 Tf
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(H)Tj
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(m)Tj
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(2)Tj
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(,)Tj
-26.151 -1.3919 TD
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0 Tc
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(k)Tj
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(j)Tj
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()Tj
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(1\))Tj
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(m)Tj
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(+)Tj
/F2 1 Tf
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(i)Tj
/TT4 1 Tf
0.522 0 TD
(.)Tj
-13.346 -2.3287 TD
[(Let)-240.9(us)-254.3(set)-254.3(in)-254.3(equation)-267.7(\(18\):)]TJ
/TT2 1 Tf
4.0819 -3.0648 TD
(A)Tj
/F3 1 Tf
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/TT4 1 Tf
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(vec)Tj
/F8 1 Tf
1.5128 1.7131 TD
( )Tj
/F2 1 Tf
0.9502 -0.9904 TD
(m)Tj
ET
q
8.4 0 0 -0.48 401.268 691.068 cm
/Im1 Do
Q
BT
8.9664 0 0 8.9664 401.28 682.4401 Tm
(N)Tj
/F7 1 Tf
5.9776 0 0 5.9776 416.88 699.72 Tm
(N)Tj
/F8 1 Tf
8.9664 0 0 8.9664 413.4 696.96 Tm
(X)Tj
/F7 1 Tf
5.9776 0 0 5.9776 414.12 678.12 Tm
(i)Tj
/F9 1 Tf
0.4417 0 TD
0.0085 Tc
(=1)Tj
/F8 1 Tf
8.9664 0 0 8.9664 428.28 701.16 Tm
0 Tc
()Tj
/TT2 1 Tf
0.8967 -0.7227 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 440.76 692.4 Tm
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 443.88 694.6801 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 448.44 698.52 Tm
()Tj
/F7 1 Tf
0 -1.0238 TD
(i)Tj
ET
q
16.56 0 0 -0.48 436.308 690.468 cm
/Im1 Do
Q
BT
/TT2 1 Tf
8.9664 0 0 8.9664 436.32 681.84 Tm
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 440.76 684.96 Tm
()Tj
/F7 1 Tf
0 -0.9034 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 445.08 681.84 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 449.52 679.5601 Tm
(i)Tj
/F8 1 Tf
8.9664 0 0 8.9664 452.76 701.16 Tm
()Tj
/F6 1 Tf
0.977 -1.4186 TD
()Tj
/TT2 1 Tf
1.0305 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 474.24 687.48 Tm
(m)Tj
/F8 1 Tf
8.9664 0 0 8.9664 481.32 704.04 Tm
(!)Tj
/F2 1 Tf
1.151 -1.7131 TD
(.)Tj
/TT6 1 Tf
4.363 0 TD
(\(19\))Tj
/TT4 1 Tf
-23.0595 -3.038 TD
[(Using)-227.5(the)-227.5(Centr)13.4(al)-227.5(Limit)-200.8(Theor)40.2(em)-240.9(\(CL)13.4(T\),)-187.4(the)-227.5(right)-227.5(hand)-240.9(side)-227.5(of)]TJ
-1.6729 -1.1644 TD
[(equation)-281.1(\(18\))-254.3(satis)]TJ
/TT8 1 Tf
7.5348 0 TD
()Tj
/TT4 1 Tf
0.5 0 TD
(es:)Tj
/F6 1 Tf
-3.431 -1.8335 TD
()Tj
ET
q
8.4 0 0 -0.48 357.948 635.028 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 357.9603 626.52 Tm
(N)Tj
/F8 1 Tf
1.0974 1.4186 TD
()Tj
/TT4 1 Tf
1.0974 -0.8164 TD
(Re)Tj
/F3 1 Tf
1.0547 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(A)Tj
/F3 1 Tf
0.7222 0 TD
(\))Tj
/TT4 1 Tf
-2.1784 -1.1643 TD
(Im)Tj
/F3 1 Tf
1.0552 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(A)Tj
/F3 1 Tf
0.7222 0 TD
(\))Tj
/F8 1 Tf
0.9528 1.9807 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 422.88 631.6801 Tm
-0.0001 Tc
[(la)-7.9(w)]TJ
/F6 1 Tf
8.9664 0 0 8.9664 413.16 626.52 Tm
0 Tc
()Tj
0.4417 0 TD
-0.2239 Tc
[()13.3()]TJ
2.1682 0 TD
0 Tc
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 415.56 621 Tm
(N)Tj
/F5 1 Tf
1.0641 0 TD
()Tj
/F9 1 Tf
1.2247 0 TD
(+)Tj
/F5 1 Tf
0.9436 0 TD
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 448.32 626.52 Tm
(N)Tj
/F8 1 Tf
1.1644 0.8164 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.803 TD
(0)Tj
/F9 1 Tf
5.9776 0 0 5.9776 467.4 624.84 Tm
(2)Tj
/F7 1 Tf
0.6023 0 TD
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 477.48 626.52 Tm
(2)Tj
/F2 1 Tf
8.9664 0 0 8.9664 483.6 626.64 Tm
(,)Tj
/TT2 1 Tf
0.455 0 TD
(G)Tj
/F8 1 Tf
0.7762 0.803 TD
()Tj
/F2 1 Tf
0.8164 -0.8164 TD
(,)Tj
/TT6 1 Tf
3.212 0 TD
(\(20\))Tj
/TT4 1 Tf
-24.7324 -2.9577 TD
[(wher)40.1(e)]TJ
/TT2 1 Tf
2.6714 0 TD
(G)Tj
/TT4 1 Tf
1.0321 0 TD
[(is)-240.9(the)-254.3(co)13.4(variance)-281.1(matrix)-254.3(of)]TJ
/F8 1 Tf
10.9513 1.4053 TD
()Tj
/TT4 1 Tf
1.0974 -0.803 TD
(Re)Tj
/F3 1 Tf
1.0547 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(A)Tj
/F3 1 Tf
0.7088 0 TD
(\))Tj
/TT4 1 Tf
-2.165 -1.1643 TD
(Im)Tj
/F3 1 Tf
1.0552 0 TD
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(A)Tj
/F3 1 Tf
0.7088 0 TD
(\))Tj
/F8 1 Tf
0.9662 1.9673 TD
()Tj
/TT4 1 Tf
0.7093 -1.4053 TD
(,)Tj
-17.9203 -1.7398 TD
(while)Tj
/TT2 1 Tf
2.394 0 TD
(B)Tj
/TT4 1 Tf
0.8811 0 TD
[(at)-227.5(the)-227.5(left)-214.1(hand)-240.9(side)13.4(,)-240.9(b)0(y)-227.5(the)-227.5(Str)40.1(ong)-240.9(Law)-214.1(of)-227.5(Lar)40.1(g)13.4(e)-240.9(Num-)]TJ
-4.9481 -1.1644 TD
[(ber)13.4(s)-267.7(\(SLLN\),)-227.5(has)-267.7(the)-254.3(following)-254.3(pr)40.2(operty:)]TJ
/TT2 1 Tf
4.3764 -2.7704 TD
(B)Tj
/F7 1 Tf
5.9776 0 0 5.9776 366.36 554.28 Tm
0.0078 Tc
[(a.)5.9(s)10(.)]TJ
/F6 1 Tf
8.9664 0 0 8.9664 356.76 549.12 Tm
0 Tc
()Tj
0.4417 0 TD
-0.2239 Tc
[()13.3()]TJ
2.1682 0 TD
0 Tc
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 359.16 543.6 Tm
(N)Tj
/F5 1 Tf
1.0641 0 TD
()Tj
/F9 1 Tf
1.2247 0 TD
(+)Tj
/F5 1 Tf
0.9437 0 TD
()Tj
/TT2 1 Tf
8.9664 0 0 8.9664 391.92 549.12 Tm
(C)Tj
/F9 1 Tf
5.9776 0 0 5.9776 398.4 548.16 Tm
(2)Tj
/F3 1 Tf
8.9664 0 0 8.9664 405.12 549.12 Tm
(=)Tj
/TT2 1 Tf
1.0841 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 418.32 547.32 Tm
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 424.8 549 Tm
(2)Tj
/F6 1 Tf
8.9664 0 0 8.9664 431.28 549.12 Tm
()Tj
/F2 1 Tf
1.0305 0 TD
(m)Tj
/F4 1 Tf
1.151 0 TD
(E)Tj
/F8 1 Tf
0.8431 1.4053 TD
()Tj
/TT2 1 Tf
1.9004 -0.7093 TD
(D)Tj
/F7 1 Tf
5.9776 0 0 5.9776 481.92 554.4 Tm
(i)Tj
ET
q
27.84 0 0 -0.48 466.308 551.148 cm
/Im1 Do
Q
BT
/F3 1 Tf
8.9664 0 0 8.9664 466.32 542.52 Tm
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 474.48 545.64 Tm
()Tj
/F7 1 Tf
0 -0.9235 TD
(i)Tj
/TT2 1 Tf
8.9664 0 0 8.9664 478.8 542.52 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 483.24 540.24 Tm
(i)Tj
/F3 1 Tf
8.9664 0 0 8.9664 486.36 542.52 Tm
(\))Tj
/F9 1 Tf
5.9776 0 0 5.9776 489.96 545.16 Tm
(2)Tj
/F8 1 Tf
8.9664 0 0 8.9664 494.16 561.72 Tm
()Tj
/F2 1 Tf
1.0974 -1.4053 TD
(.)Tj
/TT6 1 Tf
2.9845 0 TD
(\(21\))Tj
/TT4 1 Tf
-23.0595 -2.7436 TD
[(Thus,)-348(fr)40.2(om)-334.6(standar)40.2(d)-361.4(p)0(r)40.1(obability)-334.6(con)40.1(ver)40.2(g)13.4(ence)-374.7(consider)13.4(ations,)]TJ
-1.6729 -1.1643 TD
[(we)-294.4(obtain)-307.8(the)]TJ
/TT8 1 Tf
5.7849 0 TD
()Tj
/TT4 1 Tf
0.5 0 TD
[(r)13.4(s)0(t)-307.8(point)-294.4(of)-294.4(pr)40.1(oposition)-307.8(2.)-441.7(Mor)40.2(eo)13.4(ver)107.1(,)-321.2(for)-294.4(lar)40.2(g)13.4(e)]TJ
/F2 1 Tf
19.0241 0 TD
(N)Tj
/TT4 1 Tf
0.9235 0 TD
(,)Tj
-26.2324 -1.1643 TD
[(we)-254.3(have)-267.7(the)-254.3(following)-254.3(equations:)]TJ
/F8 1 Tf
4.537 -1.3383 TD
()Tj
/F4 1 Tf
1.3249 -0.7896 TD
(E)Tj
/F8 1 Tf
0.8431 0.803 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.8164 TD
(XX)Tj
/F5 1 Tf
5.9776 0 0 5.9776 386.28 488.16 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 392.52 491.76 Tm
()Tj
/F3 1 Tf
1.5792 -0.803 TD
(=)Tj
/TT2 1 Tf
1.9138 0 TD
(C)Tj
/F5 1 Tf
5.9776 0 0 5.9776 430.32 488.4 Tm
()Tj
/F9 1 Tf
0.9637 0 TD
(1)Tj
-0.9637 -1.0238 TD
(2)Tj
/F4 1 Tf
8.9664 0 0 8.9664 440.16 484.56 Tm
(E)Tj
/F8 1 Tf
0.8431 0.803 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.8164 TD
(AA)Tj
/F5 1 Tf
5.9776 0 0 5.9776 464.88 488.16 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 471.12 491.76 Tm
()Tj
/TT2 1 Tf
0.6424 -0.803 TD
(C)Tj
/F5 1 Tf
5.9776 0 0 5.9776 483.36 488.4 Tm
()Tj
/F9 1 Tf
0.9637 0 TD
(1)Tj
-0.9637 -1.0238 TD
(2)Tj
/F4 1 Tf
8.9664 0 0 8.9664 362.76 473.4 Tm
(E)Tj
/F8 1 Tf
0.8298 0.8164 TD
(`)Tj
/TT2 1 Tf
0.4818 -0.8298 TD
(XX)Tj
/F5 1 Tf
5.9776 0 0 5.9776 387.48 477 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 391.32 480.72 Tm
()Tj
/F3 1 Tf
1.7131 -0.8164 TD
(=)Tj
/TT2 1 Tf
2.0477 0 TD
(C)Tj
/F5 1 Tf
5.9776 0 0 5.9776 431.52 477.36 Tm
()Tj
/F9 1 Tf
0.9637 0 TD
(1)Tj
-0.9637 -1.0439 TD
(2)Tj
/F4 1 Tf
8.9664 0 0 8.9664 441.36 473.4 Tm
(E)Tj
/F8 1 Tf
0.8431 0.8164 TD
(`)Tj
/TT2 1 Tf
0.4684 -0.8298 TD
(AA)Tj
/F5 1 Tf
5.9776 0 0 5.9776 466.08 477 Tm
()Tj
/F8 1 Tf
8.9664 0 0 8.9664 470.04 480.72 Tm
()Tj
/TT2 1 Tf
0.6424 -0.8164 TD
(C)Tj
/F5 1 Tf
5.9776 0 0 5.9776 482.28 477.36 Tm
()Tj
/F9 1 Tf
0.9637 0 TD
(1)Tj
-0.9637 -1.0439 TD
(2)Tj
/F2 1 Tf
8.9664 0 0 8.9664 502.56 478.92 Tm
(.)Tj
/TT6 1 Tf
3.1451 0 TD
(\(22\))Tj
/TT4 1 Tf
-23.0595 -2.7302 TD
[(Let)-240.9(us)-254.3(now)-254.3(turn)-267.7(to)-254.3(the)-240.9(closed)-267.7(form)-254.3(e)13.4(xpr)40.1(ession)-267.7(of)]TJ
/TT2 1 Tf
19.6757 0 TD
(C)Tj
/F9 1 Tf
5.9776 0 0 5.9776 506.28 453.48 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 512.04 454.44 Tm
(.)Tj
/TT2 1 Tf
-15.6585 -2.7704 TD
(C)Tj
/F9 1 Tf
5.9776 0 0 5.9776 378.12 428.64 Tm
(2)Tj
/F3 1 Tf
8.9664 0 0 8.9664 384.84 429.6 Tm
(=)Tj
/TT2 1 Tf
1.0841 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 398.04 427.8 Tm
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 404.52 429.48 Tm
(2)Tj
/F6 1 Tf
8.9664 0 0 8.9664 411 429.6 Tm
()Tj
/F2 1 Tf
1.0305 0 TD
(m)Tj
/F4 1 Tf
1.151 0 TD
(E)Tj
/F8 1 Tf
0.8431 1.4186 TD
()Tj
/TT2 1 Tf
1.9004 -0.7361 TD
(D)Tj
ET
q
24.72 0 0 -0.48 446.148 431.628 cm
/Im1 Do
Q
BT
/F3 1 Tf
8.9664 0 0 8.9664 446.16 423 Tm
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 454.2 425.52 Tm
()Tj
/TT2 1 Tf
8.9664 0 0 8.9664 458.52 423 Tm
(y)Tj
/F3 1 Tf
0.5 0 TD
(\))Tj
/F9 1 Tf
5.9776 0 0 5.9776 466.56 425.52 Tm
(2)Tj
/F8 1 Tf
8.9664 0 0 8.9664 470.76 442.32 Tm
()Tj
/F2 1 Tf
1.0974 -1.4186 TD
(,)Tj
/TT6 1 Tf
5.5942 0 TD
(\(23\))Tj
/TT4 1 Tf
-23.0595 -2.9042 TD
[(wher)40.2(e)]TJ
/TT2 1 Tf
2.6045 0 TD
(D)Tj
/TT4 1 Tf
0.9095 0 TD
[(is)-187.4(the)]TJ
/F2 1 Tf
2.2768 0 TD
(m)Tj
/F9 1 Tf
5.9776 0 0 5.9776 384 407.4 Tm
(2)Tj
/F6 1 Tf
8.9664 0 0 8.9664 388.08 403.56 Tm
()Tj
/F2 1 Tf
0.803 0 TD
(m)Tj
/F9 1 Tf
5.9776 0 0 5.9776 403.44 407.4 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 409.2 403.56 Tm
[(matrix)-187.4(de)]TJ
/TT8 1 Tf
3.7421 0 TD
()Tj
/TT4 1 Tf
0.5 0 TD
[(ned)-214.1(by)]TJ
/TT2 1 Tf
2.8026 0 TD
(D)Tj
/F3 1 Tf
1.0032 0 TD
0.2847 Tc
(=\()Tj
/F2 1 Tf
1.4856 0 TD
0 Tc
(d)Tj
/F7 1 Tf
5.9776 0 0 5.9776 499.2 402.48 Tm
0.0218 Tc
(kl)Tj
/F3 1 Tf
8.9664 0 0 8.9664 506.16 403.56 Tm
0 Tc
(\))Tj
/F9 1 Tf
5.9776 0 0 5.9776 509.76 401.76 Tm
(1)Tj
/F5 1 Tf
0.6023 0 TD
()Tj
/F7 1 Tf
0.9637 0 TD
0.0218 Tc
[(k,)20(l)]TJ
/F5 1 Tf
1.4657 0 TD
0 Tc
()Tj
/F7 1 Tf
0.9637 0 TD
(m)Tj
/F11 1 Tf
4.9813 0 0 4.9813 540.12 403.44 Tm
(2)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 309 393.12 Tm
(with)Tj
/F2 1 Tf
1.9769 0 TD
(d)Tj
/F7 1 Tf
5.9776 0 0 5.9776 331.56 392.04 Tm
0.0218 Tc
(kl)Tj
/F3 1 Tf
8.9664 0 0 8.9664 341.04 393.12 Tm
0 Tc
(=)Tj
/F2 1 Tf
1.0841 0 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 355.32 392.16 Tm
(p)Tj
ET
q
4.92 0 0 -0.48 361.908 398.628 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 361.92 393.12 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 366.72 390.96 Tm
(q)Tj
ET
q
4.92 0 0 -0.48 373.068 398.628 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 373.08 393.12 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 378 390.96 Tm
(p)Tj
/F12 1 Tf
4.9813 0 0 4.9813 381.84 392.64 Tm
()Tj
/F2 1 Tf
8.9664 0 0 8.9664 387.24 393.12 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 391.8 391.68 Tm
(q)Tj
/F12 1 Tf
4.9813 0 0 4.9813 395.4 393.36 Tm
()Tj
/TT4 1 Tf
8.9664 0 0 8.9664 400.2 393.12 Tm
(.)Tj
-8.4984 -2.3153 TD
[(Now)80.3(,)-267.7(a)0(s)-281(w)0(e)-267.7(have)]TJ
/TT2 1 Tf
6.9754 0 TD
(y)Tj
/F3 1 Tf
0.8212 0 TD
(=)Tj
/F8 1 Tf
1.1033 0.803 TD
(`)Tj
/F2 1 Tf
0.4684 -0.7896 TD
(y)Tj
/F9 1 Tf
5.9776 0 0 5.9776 412.56 371.52 Tm
(1)Tj
/F2 1 Tf
8.9664 0 0 8.9664 416.64 372.48 Tm
0.1696 Tc
[(,)-13.3(...,y)]TJ
/F7 1 Tf
5.9776 0 0 5.9776 441.72 371.52 Tm
0 Tc
(m)Tj
/F8 1 Tf
8.9664 0 0 8.9664 448.8 379.56 Tm
()Tj
/F5 1 Tf
5.9776 0 0 5.9776 453 377.52 Tm
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 462.12 372.36 Tm
0.3115 Tc
(N)Tj
/F3 1 Tf
2.1012 0 TD
0 Tc
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(0)Tj
/F7 1 Tf
5.9776 0 0 5.9776 489 371.4 Tm
(m)Tj
/F2 1 Tf
8.9664 0 0 8.9664 496.08 372.36 Tm
(,)Tj
/TT2 1 Tf
0.455 0 TD
(I)Tj
/F7 1 Tf
5.9776 0 0 5.9776 503.64 371.4 Tm
(m)Tj
/F3 1 Tf
8.9664 0 0 8.9664 510.72 372.36 Tm
(\))Tj
/TT4 1 Tf
0.5621 0 TD
0.2677 Tc
[(,w)267.7(ec)267.7(a)267.7(n)]TJ
-23.0595 -1.4588 TD
0 Tc
[(r)40.1(e)13.4(write)]TJ
/F2 1 Tf
3.1028 0 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 341.4 358.32 Tm
(j)Tj
/F3 1 Tf
8.9664 0 0 8.9664 348 359.28 Tm
(=)Tj
/F8 1 Tf
1.0974 0.9101 TD
(p)Tj
ET
q
17.28 0 0 -0.48 367.068 367.908 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 367.0803 359.28 Tm
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 371.28 358.32 Tm
(j)Tj
/F2 1 Tf
8.9664 0 0 8.9664 375.12 359.28 Tm
(/)Tj
/F3 1 Tf
0.5086 0 TD
0.4363 Tc
[(2e)438.4(x)430(p)445.2(\()]TJ
/F2 1 Tf
2.9176 0 TD
-0.0037 Tc
(i)Tj
/F7 1 Tf
5.9776 0 0 5.9776 413.28 358.32 Tm
0 Tc
(j)Tj
/F3 1 Tf
8.9664 0 0 8.9664 417.24 359.28 Tm
(\))Tj
/TT4 1 Tf
0.8298 0 TD
[(wher)40.2(e)]TJ
/F6 1 Tf
2.6714 0 TD
()Tj
/F2 1 Tf
0.5755 0 TD
(j)Tj
/F6 1 Tf
0.7762 0 TD
0.3052 Tc
( {)Tj
/F3 1 Tf
1.499 0 TD
0 Tc
(1)Tj
/F2 1 Tf
0.6826 0 TD
0.1696 Tc
(...m)Tj
/F6 1 Tf
2.2752 0 TD
0 Tc
(})Tj
/TT4 1 Tf
0.6826 0 TD
(,)Tj
/F2 1 Tf
0.5177 0 TD
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 515.64 358.32 Tm
(j)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 521.76 359.28 Tm
(and)Tj
/F2 1 Tf
1.7677 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 541.8 358.32 Tm
(j)Tj
/TT4 1 Tf
8.9664 0 0 8.9664 309 348.96 Tm
[(ar)40.2(e)-214.1(independent)-240.9(variables,)-227.5(with)]TJ
/F2 1 Tf
12.7577 0 TD
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 427.2 348 Tm
(j)Tj
/F6 1 Tf
8.9664 0 0 8.9664 433.56 348.96 Tm
()Tj
/F2 1 Tf
1.0841 0 TD
()Tj
/F9 1 Tf
5.9776 0 0 5.9776 449.04 352.68 Tm
(2)Tj
/F3 1 Tf
8.9664 0 0 8.9664 453.24 348.96 Tm
0.0018 Tc
[(\(2)7.1(\))]TJ
/TT4 1 Tf
1.6863 0 TD
0 Tc
(and)Tj
/F2 1 Tf
1.7141 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 487.92 348 Tm
(j)Tj
/F6 1 Tf
8.9664 0 0 8.9664 494.4 348.96 Tm
0.2847 Tc
(U)Tj
/F3 1 Tf
1.8202 0 TD
0.0018 Tc
[(\([)6.2(0)]TJ
/F2 1 Tf
1.1912 0 TD
0 Tc
(,)Tj
/F3 1 Tf
0.4684 0 TD
(2)Tj
/F2 1 Tf
0.5086 0 TD
()Tj
/F3 1 Tf
0.629 0 TD
-0.0044 Tc
(]\))Tj
/TT4 1 Tf
0.8566 0 TD
0 Tc
(.)Tj
-24.4783 -2.3287 TD
(Then,)Tj
/F6 1 Tf
2.6114 0 TD
()Tj
/F3 1 Tf
0.8967 0 TD
(1)Tj
/F6 1 Tf
0.9636 0 TD
()Tj
/F2 1 Tf
1.2313 0 TD
0.006 Tc
[(p,)-163.6(q)-30(,)-163.6(p)]TJ
/F5 1 Tf
5.9776 0 0 5.9776 397.08 331.92 Tm
0 Tc
()Tj
/F2 1 Tf
8.9664 0 0 8.9664 399.72 328.08 Tm
0.1696 Tc
(,q)Tj
/F5 1 Tf
5.9776 0 0 5.9776 408.24 331.92 Tm
0 Tc
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 414.96 328.08 Tm
()Tj
/F2 1 Tf
1.2447 0 TD
(m)Tj
/TT4 1 Tf
1.0707 0 TD
[(,)-348(let)-334.6(us)-334.6(set)-334.6(for)-334.6(the)-334.6(elements)-348(of)]TJ
/TT2 1 Tf
-14.1329 -1.8068 TD
(E)Tj
/F3 1 Tf
0.9614 0 TD
(=)Tj
/F4 1 Tf
1.0841 0 TD
(E)Tj
/F8 1 Tf
0.8319 1.4053 TD
()Tj
/TT2 1 Tf
1.9004 -0.7361 TD
(D)Tj
ET
q
24.72 0 0 -0.48 342.828 313.788 cm
/Im1 Do
Q
BT
/F3 1 Tf
8.9664 0 0 8.9664 342.84 305.16 Tm
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 350.88 307.68 Tm
()Tj
/TT2 1 Tf
8.9664 0 0 8.9664 355.2 305.16 Tm
(y)Tj
/F3 1 Tf
0.5 0 TD
(\))Tj
/F9 1 Tf
5.9776 0 0 5.9776 363.24 307.68 Tm
(2)Tj
/F8 1 Tf
8.9664 0 0 8.9664 367.44 324.48 Tm
()Tj
/TT4 1 Tf
1.0037 -1.4053 TD
[(in)-254.3(\(23\):)]TJ
/F2 1 Tf
0.0134 -2.7971 TD
(E)Tj
/F7 1 Tf
5.9776 0 0 5.9776 383.4 285.72 Tm
0.0218 Tc
(kl)Tj
/F3 1 Tf
8.9664 0 0 8.9664 392.76 286.8 Tm
0 Tc
(=)Tj
/F4 1 Tf
1.0975 0 TD
(E)Tj
/F8 1 Tf
0.8297 1.4053 TD
()Tj
/F2 1 Tf
0.8967 -0.7093 TD
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 422.64 292.08 Tm
(p)Tj
ET
q
4.92 0 0 -0.48 429.108 298.548 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 429.12 293.04 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 434.04 290.88 Tm
(q)Tj
ET
q
4.92 0 0 -0.48 440.388 298.548 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 440.4 293.04 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 445.2 290.88 Tm
(p)Tj
/F12 1 Tf
4.9813 0 0 4.9813 449.04 292.56 Tm
()Tj
/F2 1 Tf
8.9664 0 0 8.9664 454.56 293.04 Tm
(y)Tj
/F7 1 Tf
5.9776 0 0 5.9776 459.12 291.6 Tm
(q)Tj
/F12 1 Tf
4.9813 0 0 4.9813 462.72 293.28 Tm
()Tj
ET
q
47.88 0 0 -0.48 418.068 288.588 cm
/Im1 Do
Q
BT
/F3 1 Tf
8.9664 0 0 8.9664 429.6 280.08 Tm
(\()Tj
/TT2 1 Tf
0.4015 0 TD
(y)Tj
/F5 1 Tf
5.9776 0 0 5.9776 437.76 282.6 Tm
()Tj
/TT2 1 Tf
8.9664 0 0 8.9664 442.08 280.08 Tm
(y)Tj
/F3 1 Tf
0.5 0 TD
(\))Tj
/F9 1 Tf
5.9776 0 0 5.9776 450.12 282.6 Tm
(2)Tj
/F8 1 Tf
8.9664 0 0 8.9664 465.84 299.4 Tm
()Tj
/F2 1 Tf
1.0974 -1.4053 TD
(.)Tj
/TT4 1 Tf
-16.9165 -2.2484 TD
[(Thus,)-254.3(with)-240.9(the)-254.3(abo)13.4(ve)-267.7(notations,)-267.7(we)-254.3(have:)]TJ
/F2 1 Tf
-1.1108 -2.9443 TD
(E)Tj
/F7 1 Tf
5.9776 0 0 5.9776 320.88 239.16 Tm
0.0218 Tc
(kl)Tj
/F3 1 Tf
8.9664 0 0 8.9664 330.36 240.24 Tm
0 Tc
(=)Tj
/F4 1 Tf
1.0841 0 TD
(E)Tj
/F8 1 Tf
0.8431 1.7131 TD
( )Tj
/F6 1 Tf
0.9502 -0.2543 TD
()Tj
ET
q
45.72 0 0 -0.48 363.828 253.788 cm
/Im1 Do
Q
BT
/F2 1 Tf
8.9664 0 0 8.9664 363.8403 248.16 Tm
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 368.04 247.2 Tm
(p)Tj
/F2 1 Tf
8.9664 0 0 8.9664 374.52 248.16 Tm
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 378.72 247.2 Tm
(q)Tj
/F2 1 Tf
8.9664 0 0 8.9664 385.08 248.16 Tm
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 389.28 246.72 Tm
(p)Tj
/F12 1 Tf
4.9813 0 0 4.9813 393.12 248.4 Tm
()Tj
/F2 1 Tf
8.9664 0 0 8.9664 398.52 248.16 Tm
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 402.72 246.72 Tm
(q)Tj
/F12 1 Tf
4.9813 0 0 4.9813 406.32 248.4 Tm
()Tj
ET
q
53.4 0 0 -0.48 356.148 243.708 cm
/Im1 Do
Q
BT
/F8 1 Tf
8.9664 0 0 8.9664 360.24 240.12 Tm
-0.0026 Tc
(`P)Tj
/F7 1 Tf
5.9776 0 0 5.9776 374.16 237.72 Tm
0 Tc
(m)Tj
0 -1.1844 TD
(j)Tj
/F9 1 Tf
0.5622 0 TD
0.0085 Tc
(=1)Tj
/F2 1 Tf
8.9664 0 0 8.9664 388.92 233.52 Tm
0 Tc
(r)Tj
/F7 1 Tf
5.9776 0 0 5.9776 393.12 232.56 Tm
(j)Tj
/F8 1 Tf
8.9664 0 0 8.9664 396.96 240.12 Tm
()Tj
/F9 1 Tf
5.9776 0 0 5.9776 401.16 238.32 Tm
(2)Tj
/F8 1 Tf
8.9664 0 0 8.9664 409.44 255.6 Tm
(!)Tj
/F4 1 Tf
1.1644 -1.7131 TD
(E)Tj
/F8 1 Tf
0.8298 0.803 TD
(`)Tj
/F3 1 Tf
0.4684 -0.7896 TD
-0.0021 Tc
[(ex)-8.4(p)-6.6(\()]TJ
/F2 1 Tf
1.9808 0 TD
0 Tc
(i)Tj
/F3 1 Tf
0.348 0 TD
(\()Tj
/F2 1 Tf
0.4015 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 460.32 239.4 Tm
(p)Tj
/F6 1 Tf
8.9664 0 0 8.9664 466.68 240.36 Tm
()Tj
/F2 1 Tf
1.0305 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 480.24 239.4 Tm
(q)Tj
/F3 1 Tf
8.9664 0 0 8.9664 486.36 240.36 Tm
(+)Tj
/F2 1 Tf
1.0305 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 499.92 238.92 Tm
(q)Tj
/F12 1 Tf
4.9813 0 0 4.9813 503.52 240.6 Tm
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 508.8 240.36 Tm
()Tj
/F2 1 Tf
1.0305 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 522.36 238.92 Tm
(p)Tj
/F12 1 Tf
4.9813 0 0 4.9813 526.2 240.6 Tm
()Tj
/F3 1 Tf
8.9664 0 0 8.9664 529.32 240.36 Tm
0.0018 Tc
(\)\))Tj
/F8 1 Tf
0.803 0.7896 TD
0 Tc
()Tj
/TT4 1 Tf
-23.7019 -3.9615 TD
[(W)93.7(e)-348(can)-348(notice)-334.6(that)]TJ
/F4 1 Tf
8.0045 0 TD
(E)Tj
/F8 1 Tf
0.8017 0.803 TD
(`)Tj
/F3 1 Tf
0.4818 -0.7896 TD
-0.0021 Tc
[(ex)-8.4(p)6.8(\()]TJ
/F2 1 Tf
1.9674 0 TD
0 Tc
(i)Tj
/F3 1 Tf
0.348 0 TD
(\()Tj
/F2 1 Tf
0.4015 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 435.96 211.08 Tm
(p)Tj
/F6 1 Tf
8.9664 0 0 8.9664 442.32 212.04 Tm
()Tj
/F2 1 Tf
1.0305 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 455.88 211.08 Tm
(q)Tj
/F3 1 Tf
8.9664 0 0 8.9664 462 212.04 Tm
(+)Tj
/F2 1 Tf
1.0305 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 475.56 210.6 Tm
(q)Tj
/F12 1 Tf
4.9813 0 0 4.9813 479.16 212.28 Tm
()Tj
/F6 1 Tf
8.9664 0 0 8.9664 484.44 212.04 Tm
()Tj
/F2 1 Tf
1.0305 0 TD
()Tj
/F7 1 Tf
5.9776 0 0 5.9776 498 210.6 Tm
(p)Tj
/F12 1 Tf
4.9813 0 0 4.9813 501.84 212.28 Tm
()Tj
/F3 1 Tf
8.9664 0 0 8.9664 504.96 212.04 Tm
0.0018 Tc
(\)\))Tj
/F8 1 Tf
0.803 0.7896 TD
0 Tc
()Tj
/F6 1 Tf
0.9234 -0.803 TD
(\012)Tj
/F3 1 Tf
0 0 TD
0.4453 Tc
(=0)Tj
/TT4 1 Tf
2.2618 0 TD
0 Tc
(if)Tj
-25.8433 -1.1643 TD
[(and)-267.7(only)-267.7(if)]TJ
1.4722 -1.606 TD
(1.)Tj
/F2 1 Tf
1.3121 0 TD
(p)Tj
/F3 1 Tf
0.803 0 TD
(=)Tj
/F2 1 Tf
1.0841 0 TD
(q)Tj
/F3 1 Tf
0.7762 0 TD
(=)Tj
/F2 1 Tf
1.0841 0 TD
(p)Tj
/F5 1 Tf
5.9776 0 0 5.9776 372.24 190.8 Tm
()Tj
/F3 1 Tf
8.9664 0 0 8.9664 377.52 187.08 Tm
(=)Tj
/F2 1 Tf
1.0841 0 TD
(q)Tj
/F5 1 Tf
5.9776 0 0 5.9776 391.68 190.8 Tm
()Tj
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[(4.)-602.2(APPLICA)93.7(TIONS)]TJ
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[(characteristics)-254.3(are)-254.3(represented)-267.7(here)-254.3(by)-267.7(its)-240.9(steering)-254.3(v)13.4(ector)]TJ
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T*
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[(and)-414.9(for)]TJ
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[(trib)13.4(uted\).)]TJ
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[(As)-348(illustrated)-348(on)-361.4(the)-348(Figure)-361.3(2,)-374.7(results)-348(obtained)-374.7(in)-348(this)-348(paper)]TJ
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[(v)26.8(alid)-321.2(under)-334.6(an)13.4(y)-334.6(SIRP)-307.8(noise)-321.2(and)-334.6(for)]TJ
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(b)Tj
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(M)Tj
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[(equal)-334.6(to)-321.2(the)-321.2(FPE.)-294.4(Indeed,)]TJ
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[(the)-321.2(co)13.4(v)26.8(ariance)-321.2(matrix)-321.2(of)-307.8(the)-321.2(W)40.1(ishart)-307.8(matrix)-307.8(\(not)-321.2(done)-321.2(in)-321.2(this)-307.8(pa-)]TJ
T*
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[(co)13.4(v)26.8(ariance)-307.8(matrix)-294.4(established)-307.8(in)-294.4(this)-294.4(paper)53.5(.)-441.6(Then,)-307.8(the)-307.8(asymptotic)]TJ
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T*
[(ti)26.8(v)13.4(e)-254.3(scalar)-254.3(f)13.4(actor)53.5(.)]TJ
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4.9384 -2.6633 TD
[(5.)-602.2(CONCLUSIONS)-240.9(AND)-240.9(OUTLOOK)]TJ
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-4.9384 -2.1949 TD
[(W)80.3(e)-321.2(ha)13.4(v)13.4(e)-334.6(established)-348(in)-334.6(this)-321.2(paper)-348(the)-334.6(theoretical)-334.6(statistical)-321.2(prop-)]TJ
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[(erties)-348(\(unbiasedness,)-401.5(consistenc)13.4(y)66.9(,)-401.5(asymptotic)-361.3(distrib)13.4(ution\))-361.4(of)-348(the)]TJ
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[(ha)13.4(v)13.4(e)-254.3(con)]TJ
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[(rmed)-267.7(the)-254.3(v)26.8(alidity)-254.3(of)-254.3(this)-254.3(w)13.4(ork.)]TJ
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T*
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[(of)-254.3(the)-254.3(SIRP)-227.5(gaussian)-267.7(k)13.4(ernel\).)]TJ
ET
q
1 i
328.2 769.693 198.3 -163.693 re
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1 g
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f
Q
1 g
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BT
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(10)Tj
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ET
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BT
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(10)Tj
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BT
4.0162 0 0 4.0162 406.6162 612.7941 Tm
(10)Tj
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ET
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BT
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(10)Tj
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ET
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S
BT
4.0162 0 0 4.0162 450.7609 612.7941 Tm
(10)Tj
2.6775 0 0 2.6775 455.2122 615.2707 Tm
(5)Tj
ET
460.333 618.885 m
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BT
4.0162 0 0 4.0162 472.8165 612.7941 Tm
(10)Tj
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ET
482.422 618.885 m
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S
BT
4.0162 0 0 4.0162 494.8721 612.7941 Tm
(10)Tj
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504.477 618.885 m
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BT
4.0162 0 0 4.0162 516.9612 612.7941 Tm
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S
BT
4.0162 0 0 4.0162 335.4961 641.1417 Tm
(10)Tj
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S
BT
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BT
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1 0 0 RG
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Q
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f
349.385 756.005 m
349.385 755.783 349.206 755.603 348.984 755.603 c
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f
352.163 754.198 m
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f
354.975 752.424 m
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f
357.753 750.616 m
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f
360.53 748.776 m
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f
363.342 746.935 m
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f
366.12 745.061 m
366.12 744.839 365.94 744.659 365.718 744.659 c
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f
368.931 743.187 m
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368.128 743.408 368.308 743.588 368.529 743.588 c
368.751 743.588 368.931 743.408 368.931 743.187 c
f
371.709 741.346 m
371.709 741.124 371.529 740.944 371.307 740.944 c
371.085 740.944 370.906 741.124 370.906 741.346 c
370.906 741.568 371.085 741.747 371.307 741.747 c
371.529 741.747 371.709 741.568 371.709 741.346 c
f
374.52 739.438 m
374.52 739.216 374.34 739.036 374.119 739.036 c
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373.717 739.66 373.897 739.84 374.119 739.84 c
374.34 739.84 374.52 739.66 374.52 739.438 c
f
377.298 737.53 m
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f
380.109 735.589 m
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f
382.887 733.682 m
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f
385.665 731.707 m
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f
388.476 729.766 m
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f
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f
394.066 725.816 m
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f
396.843 723.808 m
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f
399.655 721.867 m
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f
402.433 719.859 m
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f
405.244 717.818 m
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f
408.022 715.743 m
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f
410.8 713.667 m
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f
413.611 711.559 m
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f
416.389 709.417 m
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f
419.2 707.308 m
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f
421.978 705.2 m
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f
424.79 703.125 m
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f
427.567 701.05 m
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f
430.379 698.841 m
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f
433.157 696.565 m
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f
435.934 694.423 m
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f
438.746 692.281 m
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f
441.524 690.173 m
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f
444.335 687.93 m
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f
447.113 685.688 m
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f
449.924 683.345 m
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f
452.702 681.203 m
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f
455.513 678.961 m
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f
458.291 676.618 m
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f
461.103 674.141 m
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f
463.88 671.866 m
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f
466.658 669.59 m
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f
469.47 667.515 m
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f
472.248 665.373 m
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f
475.059 663.365 m
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f
477.837 661.089 m
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f
480.648 658.344 m
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f
483.426 656.537 m
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f
486.237 653.826 m
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f
489.015 651.684 m
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f
491.793 649.074 m
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f
494.604 646.831 m
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f
497.382 644.857 m
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f
500.194 643.083 m
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f
502.971 640.037 m
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f
505.783 637.159 m
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f
508.561 633.477 m
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f
511.372 632.239 m
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f
514.15 628.959 m
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f
516.928 627.152 m
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f
519.739 623.604 m
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f
522.517 622.533 m
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f
0.75 0 0.75 RG
347.377 757.779 m
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358.556 750.616 m
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394.869 725.85 m
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406.047 717.751 m
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408.825 715.709 m
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411.603 713.601 m
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417.192 709.517 m
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S
420.004 707.409 m
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433.96 696.632 m
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436.738 694.457 m
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S
492.596 649.074 m
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S
q
344.164 760.356 179.49 -141.504 re
W n
0 G
344.164 759.05 m
346.172 757.779 l
348.984 755.971 l
351.762 754.198 l
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S
0 1 0 RG
344.164 759.854 m
346.172 757.411 l
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351.762 750.65 l
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357.351 743.923 l
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S
Q
BT
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(threshold )Tj
/TT11 1 Tf
4.3833 0 TD
<0068>Tj
/TT10 1 Tf
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(PFA)Tj
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<00ef>Tj
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(threshold" )Tj
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ET
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351.762 677.421 54.018 -33.067 re
f
1 G
351.762 644.355 m
351.762 677.421 l
405.78 677.421 l
405.78 644.355 l
351.762 644.355 l
S
0 G
351.762 677.421 m
405.78 677.421 l
351.762 644.355 m
405.78 644.355 l
405.78 644.355 m
405.78 677.421 l
351.762 644.355 m
351.762 677.421 l
351.762 644.355 m
405.78 644.355 l
351.762 644.355 m
351.762 677.421 l
351.762 677.421 m
405.78 677.421 l
351.762 644.355 m
405.78 644.355 l
405.78 644.355 m
405.78 677.421 l
351.762 644.355 m
351.762 677.421 l
S
BT
4.0162 0 0 4.0162 362.9066 673.3382 Tm
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(Gaussian)Tj
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(K)Tj
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<00ef>Tj
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(distribution)Tj
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(Student)Tj
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<00ef>Tj
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(t)Tj
-4.0313 -1.15 TD
(Cauchy)Tj
T*
(Laplace)Tj
T*
(M estimated with N=20)Tj
T*
(M Theoretic)Tj
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[2.41 ]0 d
353.971 674.71 m
360.664 674.71 l
S
0 0.5 0 RG
[0.201 1.606 2.41 1.606 ]0 d
353.971 670.092 m
360.664 670.092 l
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1 0 0 RG
[0.201 1.606 ]0 d
353.971 665.473 m
360.664 665.473 l
S
0 0.75 0.75 RG
[0.201 1.606 2.41 1.606 ]0 d
353.971 660.821 m
360.664 660.821 l
S
0 0.75 0.75 rg
357.719 660.821 m
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f
0.75 0 0.75 RG
[]0 d
358.522 656.202 m
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356.113 656.868 356.652 657.407 357.317 657.407 c
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S
0 G
353.971 651.584 m
360.664 651.584 l
S
0 1 0 RG
353.971 646.965 m
360.664 646.965 l
S
BT
4.0162 0 0 4.0162 449.4556 741.1449 Tm
0 g
(N)Tj
0.8 0.05 TD
( = 20;)Tj
-0.8 -1.65 TD
(m = 10; )Tj
/TT2 1 Tf
8.9664 0 0 8.9664 322.2 585.72 Tm
[(Fig)13.4(.)-240.9(2)]TJ
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[(.)-307.8(Relation)-254.3(PF)80.3(A-threshold)-254.3(for)-254.3(dif)26.8(ferent)-254.3(SIRP)-240.9(noises)]TJ
/TT2 1 Tf
5.3292 -3.5466 TD
[(6.)-602.2(REFERENCES)]TJ
/TT6 1 Tf
-8.659 -2.1949 TD
[([1])-575.5(E)-53.5(.)-361.3(C)]TJ
7.1731 0 0 7.1731 347.0741 534.24 Tm
0.0669 Tc
(ONTE)Tj
8.9664 0 0 8.9664 368.1176 534.24 Tm
0.348 Tc
[(,M)294.5(.)-26.7(L)]TJ
7.1731 0 0 7.1731 393.4904 534.24 Tm
0.0669 Tc
[(OPS)-368.1(AND)]TJ
8.9664 0 0 8.9664 430.5898 534.24 Tm
0.0535 Tc
[(G.)-307.9(R)]TJ
7.1731 0 0 7.1731 449.4871 534.24 Tm
0.0669 Tc
(ICCI)Tj
8.9664 0 0 8.9664 465.5133 534.24 Tm
0 Tc
(,)Tj
/TT4 1 Tf
0.5444 0 TD
[(Asymptotically)-321.2(Op-)]TJ
-15.7784 -1.1643 TD
[(timum)-481.8(Radar)-481.8(Detection)-481.8(in)-468.4(Compound-Gaussian)-521.9(Clutter)]TJ
/TT6 1 Tf
23.9909 0 TD
(,)Tj
/TT4 1 Tf
-23.9909 -1.151 TD
[(IEEE)-240.9(T)53.5(r)13.4(ans.-AES)]TJ
/TT6 1 Tf
6.9921 0 TD
(,)Tj
/TT2 1 Tf
0.4775 0 TD
(31)Tj
/TT6 1 Tf
1 0 TD
[(\(2\))-267.7(\(April)-240.9(1995\),)-267.7(617-625.)]TJ
-10.1826 -1.606 TD
[([2])-575.5(F)26.8(.)-709.3(G)]TJ
7.1731 0 0 7.1731 349.4785 499.08 Tm
0.0669 Tc
(INI)Tj
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0 Tc
(,)Tj
/TT4 1 Tf
0.9995 0 TD
[(Sub-Optimum)-682.6(Coher)40.2(ent)-682.5(Radar)-669.2(Detection)-682.6(in)]TJ
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[(a)-535.3(Mixtur)40.2(e)-535.3(o)0(f)-535.3(K-Distrib)13.4(uted)-521.9(and)-535.3(Gaussian)-548.7(Clutter)]TJ
/TT6 1 Tf
21.8255 0 TD
(,)Tj
/TT4 1 Tf
0.8389 0 TD
(IEE)Tj
-22.6643 -1.1644 TD
[(Pr)40.1(oc.Radar)107.1(,)-254.3(Sonar)-267.7(Navig)]TJ
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10.0964 0 TD
(,)Tj
/TT2 1 Tf
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(144)Tj
/TT6 1 Tf
1.5 0 TD
[(\(1\))-267.7(\(February)-254.3(1997\),)-267.7(39-48.)]TJ
-13.8138 -1.606 TD
[([3])-575.5(E)-53.5(.)-428.3(J)]TJ
7.1731 0 0 7.1731 344.7029 463.8 Tm
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