Distribution of genome shared IBD by half-sibs: Approximation by the Poisson clumping heuristic

DOI10.1006/tpbi.1996.0023zbMath0869.92012OpenAlexW2084026870WikidataQ42637214 ScholiaQ42637214MaRDI QIDQ1817531

Elizabeth A. Thompson, Heike Bickeböller

Publication date: 16 January 1997

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

Full work available at URL: https://doi.org/10.1006/tpbi.1996.0023

zbMATH Keywords

recombinationsojourn timeschromosome pedigreecontinuous-time Markov random walkcrossover processgenome shared identical by descentgenomic continuum modelhalf-sibsPoisson clumping

Mathematics Subject Classification ID

Problems related to evolution (92D15) Sums of independent random variables; random walks (60G50) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (5)

Distribution of the amount of genetic material from a chromosomal segment surviving to the following generation ⋮ Reward distributions associated with some block tridiagonal transition matrices with applications to identity by descent ⋮ A Markov chain model of coalescence with recombination ⋮ The probability density of the total IBD length over a single autosome in unilineal relationships ⋮ Evaluation of identity-by-descent probabilities for half-sibs on continuous genome

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