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Consistency of estimators of the population-scaled recombination rate.

Fearnhead, Paul (2003) Consistency of estimators of the population-scaled recombination rate. Theoretical Population Biology, 64 (1). pp. 67-79.

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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.

Item Type: Article
Journal or Publication Title: Theoretical Population Biology
Uncontrolled Keywords: Asymptotics ; Composite likelihood ; Maximum likelihood estimators ; Pairwise likelihood ; Recombination rate
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 9816
Deposited By: Mrs Yaling Zhang
Deposited On: 20 Jun 2008 10:08
Refereed?: Yes
Published?: Published
Last Modified: 09 Oct 2013 15:43
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/9816

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