A renewal theory approach to IBD sharing

DOI10.1016/j.tpb.2014.08.002zbMath1303.92068arXiv1403.1325OpenAlexW3105321882WikidataQ42921624 ScholiaQ42921624MaRDI QIDQ489418

John Wakeley, Itsik Pe'er, Shai Carmi, Peter R. Wilton

Publication date: 20 January 2015

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1325

zbMATH Keywords

renewal theoryrecombinationcoalescent theoryIBD sharingSMCSMC'

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10)

Related Items (6)

Testing for population decline using maximal linkage disequilibrium blocks ⋮ Exact limits of inference in coalescent models ⋮ Variance and limiting distribution of coalescence times in a diploid model of a consanguineous population ⋮ The effect of consanguinity on coalescence times on the X chromosome ⋮ The distribution of waiting distances in ancestral recombination graphs ⋮ Limiting distribution of X-chromosomal coalescence times under first-cousin consanguineous mating

Uses Software

• Mathematica
• PLINK

Cites Work

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• Recombination as a point process along sequences
• Properties of a neutral allele model with intragenic recombination
• A model for the length of tracts of identity by descent in finite random mating populations
• Markovian approximation to the finite loci coalescent with recombination along multiple sequences
• An Improved Method for Numerical Inversion of Laplace Transforms
• Statistics of the occupation time of renewal processes

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