Genealogies of regular exchangeable coalescents with applications to sampling

This article considers a model of genealogy corresponding to a regular exchangeable coalescent (also known as \varXi-coalescent) started from a large finite configuration, and undergoing neutral mutations. Asymptotic expressions for the number of active lineages were obtained by the author in a prev...

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Veröffentlicht in:	Annales de l'I.H.P. Probabilités et statistiques 2012-08, Vol.48 (3), p.706-720
1. Verfasser:	LIMIC, Vlada
Format:	Artikel
Sprache:	eng
Schlagworte:	60F99 60J25 92D25 coming down from infinity Exact sciences and technology Exchangeable coalescents General topics martingale technique Mathematics Probability and statistics Probability theory and stochastic processes random mutation rate regularity sampling formula Sampling theory, sample surveys Sciences and techniques of general use small-time asymptotics Statistics Stochastic processes varLambda-coalescent varXi-coalescent
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