Advances in Applied Probability

Closed-form asymptotic sampling distributions under the coalescent with recombination for an arbitrary number of loci

Anand Bhaskar and Yun S. Song

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Abstract

Obtaining a closed-form sampling distribution for the coalescent with recombination is a challenging problem. In the case of two loci, a new framework based on an asymptotic series has recently been developed to derive closed-form results when the recombination rate is moderate to large. In this paper, an arbitrary number of loci is considered and combinatorial approaches are employed to find closed-form expressions for the first couple of terms in an asymptotic expansion of the multi-locus sampling distribution. These expressions are universal in the sense that their functional form in terms of the marginal one-locus distributions applies to all finite- and infinite-alleles models of mutation.

Article information

Source
Adv. in Appl. Probab. Volume 44, Number 2 (2012), 391-407.

Dates
First available: 16 June 2012

Permanent link to this document
http://projecteuclid.org/euclid.aap/1339878717

Digital Object Identifier
doi:10.1239/aap/1339878717

Zentralblatt MATH identifier
06055127

Mathematical Reviews number (MathSciNet)
MR2977401

Subjects
Primary: 92D15: Problems related to evolution
Secondary: 65C50: Other computational problems in probability 92D10: Genetics {For genetic algebras, see 17D92}

Keywords
Coalescent theory recombination asymptotic expansion sampling distribution

Citation

Bhaskar, Anand; Song, Yun S. Closed-form asymptotic sampling distributions under the coalescent with recombination for an arbitrary number of loci. Advances in Applied Probability 44 (2012), no. 2, 391--407. doi:10.1239/aap/1339878717. http://projecteuclid.org/euclid.aap/1339878717.


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