On the number of siblings and \(p\)-th cousins in a large population sample

DOI10.1007/s00285-018-1252-8zbMath1444.92068OpenAlexW2950902356WikidataQ63649251 ScholiaQ63649251MaRDI QIDQ1789068

Rasmus Nielsen, Vladimir Shchur

Publication date: 9 October 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1252-8

zbMATH Keywords

pedigreeStirling numbers of the second kindsiblingscousinsdioecious Wright-Fisher model

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Genetics and epigenetics (92D10)

Uses Software

• DLMF

Cites Work

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• A non-zero variance of Tajima's estimator for two sequences even for infinitely many unlinked loci
• Population structure and coalescence in pedigrees: comparisons to the structured coalescent and a framework for inference
• Asymptotic Estimates of Stirling Numbers
• Recent common ancestors of all present-day individuals

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