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.
Bayesian nonparametrics Chu–Vandermonde identity Multivariate convolution Lauricella function Prediction Species diversity
AMS 2000 Subject Classifications
05A19 33C20 62E15 62P10
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