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Large deviation principles and related results are given for a class of Markov chains associated to the " leaves " in random recursive trees and preferential attachment random graphs, as well as the " cherries " in Yule trees. In particular, the method of proof, combining analytic and Dupuis-Ellis type path arguments, allows for an explicit computation of… (More)

We explore properties of Cauchy-Stieltjes families that have no counterpart in exponential families. We relate the variance function of the iterated Cauchy-Stieltjes family to the pseudo-variance function of the initial Cauchy-Stieltjes family. We also investigate when the domain of means can be extended beyond the " natural domain " .

We present a mathematical model, and the corresponding mathematical analysis, that justifies and quantifies the use of principal component analysis of biallelic genetic marker data for a set of individuals to detect the number of subpopulations represented in the data. We indicate that the power of the technique relies more on the number of individuals… (More)

- WLODEK BRYC, VIRGIL PIERCE
- 2008

This is a seminar talk of February 13, 2008.

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