On a Generalized Chu–Vandermonde Identity

Stefano Favaro (), Igor Prünster () and Stephen G. Walker ()
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Stefano Favaro: Università degli Studi di Torino and Collegio Carlo Alberto
Igor Prünster: Università degli Studi di Torino, ICER and Collegio Carlo Alberto
Stephen G. Walker: University of Kent

Methodology and Computing in Applied Probability, 2012, vol. 14, issue 2, 253-262

Abstract: Abstract 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.

Keywords: Bayesian nonparametrics; Chu–Vandermonde identity; Multivariate convolution; Lauricella function; Prediction; Species diversity; 05A19; 33C20; 62E15; 62P10 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s11009-010-9202-y

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