Events and Meetings of Italian Statistical Society, Statistics and Demography: the Legacy of Corrado Gini

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Bayesian nonparametric estimation of a generalized diversity index
Annalisa Cerquetti

Last modified: 2015-09-05

Abstract


Bayesian nonparametric estimation of Shannon entropy and Gini-Simpson
diversity under uniform and symmetric Dirichlet priors has been already advocated as an alternative to maximum likelihood estimation based on frequency counts, which is negatively biased in the undersampled regime. Here we present the posterior analysis of Tsallis generalized diversity index under Gnedin-Pitman priors, a large family of random discrete distributions generalizing the characteristic structure of the Dirichlet process priors. .

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