Consistency of estimators of the population-scaled recombination rate.
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.
Fearnhead
Paul
P
Department of Mathematics and Statistics, Lancaster University, Fylde College, B Floor, Room 4b, LA1 4YF, Lancaster, UK. p.fearnhead@lancaster.ac.uk
D019143:Evolution, Molecular; D006801:Humans; D016013:Likelihood Functions; D015233:Models, Statistical; D011995:Recombination, Genetic