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Consistency of estimators of the population-scaled recombination rate.

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Consistency of estimators of the population-scaled recombination rate. / Fearnhead, Paul.
In: Theoretical Population Biology, Vol. 64, No. 1, 08.2003, p. 67-79.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Fearnhead, P 2003, 'Consistency of estimators of the population-scaled recombination rate.', Theoretical Population Biology, vol. 64, no. 1, pp. 67-79. https://doi.org/10.1016/S0040-5809(03)00041-8

APA

Fearnhead, P. (2003). Consistency of estimators of the population-scaled recombination rate. Theoretical Population Biology, 64(1), 67-79. https://doi.org/10.1016/S0040-5809(03)00041-8

Vancouver

Fearnhead P. Consistency of estimators of the population-scaled recombination rate. Theoretical Population Biology. 2003 Aug;64(1):67-79. doi: 10.1016/S0040-5809(03)00041-8

Author

Fearnhead, Paul. / Consistency of estimators of the population-scaled recombination rate. In: Theoretical Population Biology. 2003 ; Vol. 64, No. 1. pp. 67-79.

Bibtex

@article{92f455f2214140fe84d01d5d82cb7ca4,
title = "Consistency of estimators of the population-scaled recombination rate.",
abstract = "We consider (approximate) likelihood methods for estimating the population-scaled recombination rate from population genetic data. We show that the dependence between the data from two regions of a chromosome decays inversely with the amount of recombination between the two regions. We use this result to show that the maximum likelihood estimator (mle) for the recombination rate, based on the composite likelihood of Fearnhead and Donnelly, is consistent. We also consider inference based on the pairwise likelihood of Hudson. We consider two approximations to this likelihood, and prove that the mle based on one of these approximations is consistent, while the mle based on the other approximation (which is used by McVean, Awadalla and Fearnhead) is not.",
keywords = "Asymptotics, Composite likelihood, Maximum likelihood estimators, Pairwise likelihood, Recombination rate",
author = "Paul Fearnhead",
year = "2003",
month = aug,
doi = "10.1016/S0040-5809(03)00041-8",
language = "English",
volume = "64",
pages = "67--79",
journal = "Theoretical Population Biology",
issn = "1096-0325",
publisher = "Academic Press Inc.",
number = "1",

}

RIS

TY - JOUR

T1 - Consistency of estimators of the population-scaled recombination rate.

AU - Fearnhead, Paul

PY - 2003/8

Y1 - 2003/8

N2 - We consider (approximate) likelihood methods for estimating the population-scaled recombination rate from population genetic data. We show that the dependence between the data from two regions of a chromosome decays inversely with the amount of recombination between the two regions. We use this result to show that the maximum likelihood estimator (mle) for the recombination rate, based on the composite likelihood of Fearnhead and Donnelly, is consistent. We also consider inference based on the pairwise likelihood of Hudson. We consider two approximations to this likelihood, and prove that the mle based on one of these approximations is consistent, while the mle based on the other approximation (which is used by McVean, Awadalla and Fearnhead) is not.

AB - We consider (approximate) likelihood methods for estimating the population-scaled recombination rate from population genetic data. We show that the dependence between the data from two regions of a chromosome decays inversely with the amount of recombination between the two regions. We use this result to show that the maximum likelihood estimator (mle) for the recombination rate, based on the composite likelihood of Fearnhead and Donnelly, is consistent. We also consider inference based on the pairwise likelihood of Hudson. We consider two approximations to this likelihood, and prove that the mle based on one of these approximations is consistent, while the mle based on the other approximation (which is used by McVean, Awadalla and Fearnhead) is not.

KW - Asymptotics

KW - Composite likelihood

KW - Maximum likelihood estimators

KW - Pairwise likelihood

KW - Recombination rate

U2 - 10.1016/S0040-5809(03)00041-8

DO - 10.1016/S0040-5809(03)00041-8

M3 - Journal article

VL - 64

SP - 67

EP - 79

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 1096-0325

IS - 1

ER -