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Hsiao-Han Chang, Colin J. Worby, Adoke Yeka, Joaniter Nankabirwa, Moses R. Kamya, Sarah G. Staedke, Grant Dorsey, Maxwell Murphy, Daniel E. Neafsey, Anna E. Jeffreys, Christina Hubbart, Kirk A. Rockett, Roberto Amato, Dominic P. Kwiatkowski, Caroline O. Buckee, Bryan Greenhouse
THE REAL McCOIL: A method for the concurrent estimation of the complexity of infection and SNP allele frequency for malaria parasites
www.ploscompbiol.org
www.ploscompbiol.org
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(,)Tj
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(7)Tj
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(,)Tj
0.83 0.64 0.02 0 k
(16)Tj
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[( )-6(\n)13()]TJ
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[( )-6(\n)13()]TJ
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[()]TJ
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[()]TJ
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(29)Tj
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0.83 0.64 0.02 0 k
(31)Tj
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/F12 1 Tf
3.6794 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 272.8062 328.7622 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
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[(\r)20()]TJ
ET
Q
q
1 j
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BT
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(32)Tj
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Q
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7.4999 0 0 6.6659 525.8834 328.7622 cm
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[( \r)]TJ
ET
Q
q
1 j
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BT
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1 TL
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([)Tj
0.83 0.64 0.02 0 k
(33)Tj
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ET
Q
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1 j
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BT
/F7 1 Tf
1 TL
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(,)Tj
ET
Q
q
1 j
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BT
/F7 1 Tf
1 TL
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(a)Tj
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[()28( )-6(\n)13()]TJ
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Q
q
1 j
1 J
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BT
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1 TL
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(Materials)Tj
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(and)Tj
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ET
Q
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1 j
1 J
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BT
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1 TL
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1.6781 0 Td
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(\(#1107138\))Tj
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(\(#2011203\).)Tj
ET
Q
q
1 j
1 J
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11.9999 0 0 11.9999 200.0125 165.9968 cm
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4.0157 0 Td
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1.0441 0 Td
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-27.6143 -1.1669 Td
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ET
Q
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1 j
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BT
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1 TL
-0.004 Tc
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2.4321 0 Td
(\(MCMC\))Tj
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1.8936 0 Td
(the)Tj
1.4683 0 Td
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1.1509 0 Td
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(include)Tj
ET
Q
q
1 j
1 J
0 w
576 737.1 m
36 737.1 l
36 737.6 l
576 737.6 l
f*
36 741.2598 169.285 23.6976 re
W* n
q
169.2283 0 0 23.6409 36 741.3165 cm
q
/I0 Do
Q
Q
Q
q
0 0 612 792 re
W* n
1 j
1 J
0 w
7.9999 0 0 7.9999 329.159 745.7952 cm
BT
/F0 1 Tf
1 TL
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0.5726 0 Td
()Tj
0.6577 0 Td
()Tj
/F17 1 Tf
1.0488 0.9467 Td
(Y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 363.1181 477.1275 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
-0.5008 -3.6568 Td
[()]TJ
/F14 1 Tf
()Tj
/F13 1 Tf
(1)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 372.7559 475.1433 cm
BT
/F17 1 Tf
1 TL
0 0 Td
(Y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 377.6881 477.1275 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(!)]TJ
-0.5385 -3.6568 Td
[(%)]TJ
/F14 1 Tf
()Tj
/F13 1 Tf
(1)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 400.0251 475.1433 cm
BT
/F17 1 Tf
1 TL
0 0 Td
(X)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 388.7433 455.0173 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5 0 0 5 392.2015 453.5433 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
0.5896 -0.3061 Td
[()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 398.7779 455.0173 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(2f)Tj
/F13 1 Tf
(0)Tj
/F16 1 Tf
(;)Tj
/F13 1 Tf
(0)Tj
/F16 1 Tf
(:)Tj
/F13 1 Tf
(5)Tj
/F16 1 Tf
(;)Tj
/F13 1 Tf
(1)Tj
/F14 1 Tf
(g)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 427.2944 465.6755 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
/F14 1 Tf
0.5725 0 Td
()Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 442.6015 463.1811 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(\n)-4()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 450.4251 465.6755 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(j)Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 458.8724 463.1811 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 466.0157 465.6755 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
/F12 1 Tf
[()]TJ
/F14 1 Tf
0.9581 0 Td
()Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 485.1779 463.1811 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 492.3779 465.6755 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(j)Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 502.9228 463.1811 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 505.0204 465.6755 cm
BT
/F16 1 Tf
1 TL
0 0 Td
(;)Tj
/F12 1 Tf
0.6066 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 515.8488 463.1811 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 517.9464 465.6755 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
/F16 1 Tf
(;)Tj
/F14 1 Tf
4.5524 0 Td
()Tj
/F7 1 Tf
(1)Tj
/F14 1 Tf
()Tj
/F7 1 Tf
-0.004 Tc
-36.3455 -4.7961 Td
(where)Tj
/F12 1 Tf
2.6475 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 232.2141 416.0692 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 242.7023 417.7133 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(and)Tj
/F12 1 Tf
1.7347 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 265.7196 416.0692 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[(\n)-4()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 277.0015 417.7133 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(represent)Tj
3.9628 0 Td
(the)Tj
1.4683 0 Td
(true)Tj
1.8425 0 Td
(and)Tj
1.7291 0 Td
(observed)Tj
3.7928 0 Td
(heterozygosity)Tj
5.9924 0 Td
(at)Tj
0.9524 0 Td
(locus)Tj
/F12 1 Tf
2.2847 0 Td
[(%)]TJ
/F7 1 Tf
0.4819 0 Td
(of)Tj
1.0148 0 Td
(individual)Tj
/F12 1 Tf
-31.2205 -1.2982 Td
[()]TJ
/F7 1 Tf
0.4876 0 Td
(\()Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 213.959 403.0299 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 224.5039 404.7307 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(and)Tj
/F12 1 Tf
1.7291 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 247.4645 403.0299 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[(\n)-4()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 258.8031 404.7307 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(2)Tj
/F7 1 Tf
-0.004 Tc
([0,)Tj
1.9162 0 Td
(0.5,)Tj
1.6214 0 Td
(1]\).)Tj
1.6044 0 Td
(We)Tj
1.61 0 Td
(specify)Tj
/F12 1 Tf
2.9537 0 Td
[()]TJ
/F7 1 Tf
(\()Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 370.4314 403.0299 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[(\n)-4()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 379.559 404.7307 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(|)Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 387.7795 403.0299 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 396.1133 404.7307 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(\))Tj
0.5612 0 Td
(to)Tj
1.0261 0 Td
(take)Tj
1.8709 0 Td
(the)Tj
1.4683 0 Td
(following)Tj
3.9799 0 Td
(form)Tj
2.2053 0 Td
(\()Tj
0.83 0.64 0.02 0 k
(Table)Tj
2.7836 0 Td
(1)Tj
0 g
(\),)Tj
-33.5052 -1.3039 Td
(depending)Tj
4.4674 0 Td
(on)Tj
1.2756 0 Td
(the)Tj
1.4683 0 Td
(values)Tj
2.6702 0 Td
(of)Tj
/F12 1 Tf
1.0148 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 314.6456 390.0472 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 325.1905 391.6913 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(and)Tj
/F12 1 Tf
1.7291 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 348.2078 390.0472 cm
BT
/F12 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[(\n)-4()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 357.2787 391.6913 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(:and)Tj
/F12 1 Tf
0 Tc
-9.4336 -4.9265 Td
[()]TJ
/F14 1 Tf
0.5726 0 Td
()Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 278.2488 339.9307 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 285.4488 342.4251 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(j)Tj
/F12 1 Tf
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 295.937 339.9307 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 298.0913 342.4251 cm
BT
/F16 1 Tf
1 TL
0 0 Td
(;)Tj
/F12 1 Tf
0.6009 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 308.9196 339.9307 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 310.9606 342.4251 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
0.6633 0 Td
()Tj
/F12 1 Tf
5.5048 1.7744 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 377.4614 357.6188 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(%)]TJ
0.3401 1.0299 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5 0 0 5 384.2078 362.2677 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 435.2881 360.17 cm
BT
/F18 1 Tf
1 TL
0 0 Td
[()1()]TJ
/F12 1 Tf
0.822 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 449.2346 357.6188 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 459.1559 360.17 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
/F13 1 Tf
1.0488 0 Td
(1)Tj
/F16 1 Tf
(;)Tj
/F14 1 Tf
-10.9416 -1.7007 Td
()Tj
/F13 1 Tf
(1)Tj
/F14 1 Tf
1.1055 0 Td
( )Tj
/F12 1 Tf
0.9978 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 386.022 340.6677 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 388.1196 343.1622 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 391.9748 348.3212 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5 0 0 5 396.6236 346.8472 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 435.2881 343.1622 cm
BT
/F18 1 Tf
1 TL
0 0 Td
[()1()]TJ
/F12 1 Tf
0.822 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 449.2346 340.6677 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 459.1559 343.1622 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
/F13 1 Tf
1.0488 0 Td
(0)Tj
/F16 1 Tf
(;)Tj
/F13 1 Tf
-13.1016 -1.6951 Td
(1)Tj
/F14 1 Tf
0.72 0 Td
( )Tj
/F12 1 Tf
0.9921 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 360.5669 323.6598 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(%)]TJ
0.3401 1.0299 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5 0 0 5 367.3133 328.3086 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 371.9055 326.211 cm
BT
/F14 1 Tf
1 TL
0 0 Td
( )Tj
0.9921 0 Td
()Tj
/F13 1 Tf
(1)Tj
/F14 1 Tf
1.1111 0 Td
( )Tj
/F12 1 Tf
0.9922 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 407.622 323.6598 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 409.7196 326.211 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 413.5748 331.37 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5 0 0 5 418.2803 329.8393 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 430.6393 326.211 cm
BT
/F18 1 Tf
1 TL
0 0 Td
[()1()]TJ
/F12 1 Tf
0.8163 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 444.5291 323.6598 cm
BT
/F12 1 Tf
1 TL
0 0 Td
[()53()12(%)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 454.507 326.211 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
/F13 1 Tf
1.0488 0 Td
(0)Tj
/F16 1 Tf
(:)Tj
/F13 1 Tf
(5)Tj
/F16 1 Tf
(:)Tj
/F14 1 Tf
9.8475 1.6214 Td
()Tj
/F7 1 Tf
(2)Tj
/F14 1 Tf
()Tj
/F17 1 Tf
-23.5387 2.33 Td
(8)Tj
0 -0.8957 Td
(>)Tj
0 -0.2892 Td
(<)Tj
0 -1.7914 Td
(>)Tj
0 -0.2892 Td
(:)Tj
/F7 1 Tf
-0.004 Tc
-11.6106 -5.5954 Td
(We)Tj
1.61 0 Td
(assumed)Tj
3.6737 0 Td
(uniform)Tj
3.549 0 Td
(priors)Tj
2.6192 0 Td
(for)Tj
/F12 1 Tf
1.3833 0 Td
[()]TJ
/F7 1 Tf
1.0941 0 Td
(and)Tj
/F12 1 Tf
1.7292 0 Td
[()]TJ
/F7 1 Tf
0.771 0 Td
(and)Tj
1.7291 0 Td
(updated)Tj
3.4753 0 Td
(them)Tj
2.2903 0 Td
(sequentially)Tj
4.9549 0 Td
(using)Tj
2.3924 0 Td
(a)Tj
0.652 0 Td
(Metropo-)Tj
-33.1197 -1.2983 Td
(lis-Hastings)Tj
4.9379 0 Td
(algorithm)Tj
4.1499 0 Td
(over)Tj
/F12 1 Tf
1.9672 0 Td
[(')]TJ
/F7 1 Tf
0.9071 0 Td
(=)Tj
0.7937 0 Td
(100,000)Tj
3.2882 0 Td
(iterations,)Tj
4.2179 0 Td
(excluding)Tj
4.1045 0 Td
(the)Tj
1.4626 0 Td
(initial)Tj
2.5398 0 Td
(burn-in)Tj
3.3335 0 Td
(1000)Tj
2.1147 0 Td
(iterations)Tj
-33.817 -1.3039 Td
(to)Tj
1.0261 0 Td
(obtain)Tj
2.7779 0 Td
(the)Tj
1.474 0 Td
(posterior)Tj
3.8438 0 Td
(distributions)Tj
5.3291 0 Td
(of)Tj
/F12 1 Tf
1.0148 0 Td
[()]TJ
/F7 1 Tf
1.0885 0 Td
(and)Tj
/F12 1 Tf
1.7291 0 Td
[()]TJ
/F7 1 Tf
(.)Tj
0.9978 0 Td
(If)Tj
/F12 1 Tf
0.8447 0 Td
[(&)]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 405.1842 249.4488 cm
BT
/F7 1 Tf
1 TL
-0.0053 Tc
0 0 Td
(1)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 410.9669 251.0929 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(and)Tj
/F12 1 Tf
1.7291 0 Td
[(&)]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 432.17 249.4488 cm
BT
/F7 1 Tf
1 TL
-0.0053 Tc
0 0 Td
(2)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 437.9527 251.0929 cm
BT
/F7 1 Tf
1 TL
-0.004 Tc
0 0 Td
(were)Tj
2.1203 0 Td
(not)Tj
1.576 0 Td
(pre-specified,)Tj
/F12 1 Tf
5.6069 0 Td
[()]TJ
2.092 0 Td
[()]TJ
-35.189 -1.2982 Td
[()28( )-6(\n)13()]TJ
/F7 1 Tf
3.634 0 Td
(estimated)Tj
4.0762 0 Td
(their)Tj
2.1089 0 Td
(posterior)Tj
3.8438 0 Td
(distributions)Tj
5.3291 0 Td
(along)Tj
2.4208 0 Td
(with)Tj
/F12 1 Tf
1.9955 0 Td
[()]TJ
/F7 1 Tf
1.0884 0 Td
(and)Tj
/F12 1 Tf
1.7348 0 Td
[()]TJ
/F7 1 Tf
(.)Tj
0.9921 0 Td
(The)Tj
1.7802 0 Td
(details)Tj
2.7779 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(sam-)Tj
-34.2705 -1.2983 Td
(pling)Tj
2.262 0 Td
(procedure)Tj
4.3143 0 Td
(are)Tj
1.4514 0 Td
(described)Tj
4.0478 0 Td
(in)Tj
1.0375 0 Td
(Text)Tj
2.0182 0 Td
(A)Tj
0.9014 0 Td
(in)Tj
0.83 0.64 0.02 0 k
1.0375 0 Td
(S1)Tj
1.1735 0 Td
(File)Tj
0 g
(.)Tj
/F15 1 Tf
-17.0474 -1.3039 Td
(Proportional)Tj
5.6522 0 Td
(method:)Tj
3.6851 0 Td
(Modeling)Tj
4.2009 0 Td
(frequency)Tj
4.337 0 Td
(data.)Tj
/F7 1 Tf
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