Fearnhead Paul
Department of Mathematics and Statistics, Lancaster University, Fylde College, B Floor, Room 4b, LA1 4YF, Lancaster, UK.
Theor Popul Biol. 2003 Aug;64(1):67-79. doi: 10.1016/s0040-5809(03)00041-8.
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.
我们考虑用（近似）似然方法从群体遗传数据中估计群体尺度的重组率。我们表明，染色体两个区域的数据之间的依赖性随着这两个区域之间重组量的增加而呈反比衰减。我们利用这一结果表明，基于Fearnhead和Donnelly的复合似然的重组率最大似然估计器（mle）是一致的。我们还考虑基于Hudson成对似然的推断。我们考虑了这种似然的两种近似，并证明基于其中一种近似的mle是一致的，而基于另一种近似（McVean、Awadalla和Fearnhead所使用的）的mle则不是。
