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Another definition of genealogical distance

Published online by Cambridge University Press:  14 July 2016

C. L. Mallows
C. L. Mallows*
Affiliation:
Bell Telephone Laboratories, Murray Hill, New Jersey
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Abstract

Mycielski and Ulam have introduced three metrics on the set of all members of a species that reproduces by pairwise mating; their discussion concerns only a very orderly society in which the whole population is divided into disjoint generations, with random mating, universal monogamy and exactly two offspring of each mating. Here we discuss another metric, derived from certain probabilistic considerations, that is free of all such restrictions. It does not derive from Mendelian laws.

Keywords

MATHEMATICAL GENEALOGYRANDOM MATINGMUTATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 1 , March 1974 , pp. 179 - 183
Copyright
Copyright © Applied Probability Trust 1974 

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References

[1] Mycielski, J. and Ulam, S. M. (1969) On the pairing process and the notion of genealogical distance J. Combinatorial Theory 6, 227–234.Google Scholar
[2] Marr, R. B. (1970) On a notion of genealogical distance Notices Amer. Math. Soc. 17, 296–297.Google Scholar