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October, 1973 An Index of Genealogical Relatedness Derived from a Genetic Model
Stuart P. Lloyd, Colin L. Mallows
Ann. Probab. 1(5): 758-771 (October, 1973). DOI: 10.1214/aop/1176996844

Abstract

The coefficient de parente $\sigma(x, y)$ of Malecot, which measures the genealogical relatedness of individuals $x$ and $y$, is derived as a correlation coefficient of certain genotype scores. An explicit formula is given for $\sigma(x, y)$ involving path sums in the ancestral charts of $x$ and $y$. The expected value of $\sigma(x, y)$ is worked out for certain random population models.

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Stuart P. Lloyd. Colin L. Mallows. "An Index of Genealogical Relatedness Derived from a Genetic Model." Ann. Probab. 1 (5) 758 - 771, October, 1973. https://doi.org/10.1214/aop/1176996844

Information

Published: October, 1973
First available in Project Euclid: 19 April 2007

zbMATH: 0281.92007
MathSciNet: MR351503
Digital Object Identifier: 10.1214/aop/1176996844

Subjects:
Primary: 92A10
Secondary: 60J99

Keywords: Genealogical index , Malecot coefficient

Rights: Copyright © 1973 Institute of Mathematical Statistics

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Vol.1 • No. 5 • October, 1973
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