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On a Generalized Chu–Vandermonde Identity

Author

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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)

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.

Suggested Citation

  • Stefano Favaro & Igor Prünster & Stephen G. Walker, 2012. "On a Generalized Chu–Vandermonde Identity," Methodology and Computing in Applied Probability, Springer, vol. 14(2), pages 253-262, June.
    • Handle: RePEc:spr:metcap:v:14:y:2012:i:2:d:10.1007_s11009-010-9202-y
    DOI: 10.1007/s11009-010-9202-y
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    References listed on IDEAS

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    1. Sonia Petrone & Michele Guindani & Alan E. Gelfand, 2009. "Hybrid Dirichlet mixture models for functional data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(4), pages 755-782, September.
    2. Antonio Lijoi & Igor Pruenster & Stephen G. Walker, 2008. "Bayesian nonparametric estimators derived from conditional Gibbs structures," ICER Working Papers - Applied Mathematics Series 06-2008, ICER - International Centre for Economic Research.
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