On a Generalized Chu–Vandermonde Identity

被引：0
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作者：
Stefano Favaro
Igor Prünster
Stephen G. Walker
机构：
[1] Università degli Studi di Torino and Collegio Carlo Alberto,Dipartimento di Statistica e Matematica Applicata
[2] Università degli Studi di Torino,Dipartimento di Statistica e Matematica Applicata
[3] ICER and Collegio Carlo Alberto,Institute of Mathematics, Statistics and Actuarial Science
[4] University of Kent,undefined
来源：
Methodology and Computing in Applied Probability | 2012年 / 14卷
关键词：
Bayesian nonparametrics; Chu–Vandermonde identity; Multivariate convolution; Lauricella function; Prediction; Species diversity; 05A19; 33C20; 62E15; 62P10;
D O I：
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中图分类号：
学科分类号：
摘要：
In the present paper we introduce a generalization of the well–known Chu–Vandermonde identity. In particular, by inductive reasoning, the identity is extended to a multivariate setup in terms of the fourth Lauricella function. The main interest in such generalizations derives from the species diversity estimation and, in particular, prediction problems in Genomics and Ecology within a Bayesian nonparametric framework.
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页码：253 / 262
页数：9
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