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.

On a generalized Chu–Vandermonde identity.

FAVARO, STEFANO;PRUENSTER, Igor;
2010-01-01

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.
2010
Carlo Alberto Notebooks
162
http://www.carloalberto.org/research/working-papers/2010
Bayesian nonparametrics; Chu–Vandermonde identity; multivariate convolution; Lauricella function; prediction; species diversity
S. Favaro; I. Pruenster; S.G. Walker
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/56579
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