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An index of genealogical relatedness

Published online by Cambridge University Press:  01 July 2016

Stuart P. Lloyd
Stuart P. Lloyd*
Affiliation:
Bell Laboratories, Murray Hill, New Jersey
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Abstract

The inner product associated with the l2 analog of the Mycielski-Ulam l1 genealogical distance serves to quantify the notion of genealogical relatedness in a fairly natural way. The expected value of the relatedness is obtained for certain random population models with stratified generations, including the Mycielski-Ulam model.

Keywords

GENEALOGICAL RELATEDNESSGENEALOGICAL DISTANCERANDOM ANCESTRY
Type
Research Article
Information
Advances in Applied Probability , Volume 5 , Issue 3 , December 1973 , pp. 417 - 438
Copyright
Copyright © Applied Probability Trust 1973 

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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
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[9] Lloyd, S. P. and Mallows, C. L. (1973) An index of genealogical relatedness derived from a genetic model. Ann. of Probability. To appear.Google Scholar