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MiS Preprint
24/2018

New perspectives on multilocus ancestry informativeness

Omri Tal and Tat Dat Tran

Abstract

We present an axiomatic approach for multilocus informativeness measures for determining the amount of information that a set of polymorphic genetic markers provides about individual ancestry. We then reveal several surprising properties of a decision-theoretic based measure that is consistent with the set of proposed criteria for multilocus informativeness. In particular, these properties highlight the interplay between information originating from population priors and the information extractable from the population genetic variants. This analysis then reveals a certain deficiency of mutual information based multilocus informativeness measures when such population priors are incorporated. Finally, we analyse and quantify the inevitable inherent decrease in informativeness due to learning from finite population samples.

Received:
28.02.2018
Published:
01.03.2018

Related publications

inJournal
2018 Repository Open Access
Omri Tal and Tat Dat Tran

New perspectives on multilocus ancestry informativeness

In: Mathematical biosciences, 306 (2018), pp. 60-81