Species sampling problems have a long history in ecological and biological studies and a number of statistical issues, including the evaluation of species richness, are still to be addressed. In this paper, motivated by Bayesian nonparametric inference for species sampling problems, we consider the practically important and technically challenging issue of developing a comprehensive posterior analysis of the so-called rare variants, namely those species with frequency less than or equal to a given abundance threshold. In particular, by adopting a Gibbs-type prior, we provide an explicit expression for the posterior joint distribution of the frequency counts of the rare variants, and we investigate some of its statistical properties. The proposed results are illustrated by means of two novel applications to a benchmark genomic dataset. (C) 2014 Elsevier Inc. All rights reserved.

Cesari, O., Favaro, S., Nipoti, B. (2014). Posterior analysis of rare variants in Gibbs-type species sampling models. JOURNAL OF MULTIVARIATE ANALYSIS, 131, 79-98 [10.1016/j.jmva.2014.06.017].

Posterior analysis of rare variants in Gibbs-type species sampling models

Nipoti B.
2014

Abstract

Species sampling problems have a long history in ecological and biological studies and a number of statistical issues, including the evaluation of species richness, are still to be addressed. In this paper, motivated by Bayesian nonparametric inference for species sampling problems, we consider the practically important and technically challenging issue of developing a comprehensive posterior analysis of the so-called rare variants, namely those species with frequency less than or equal to a given abundance threshold. In particular, by adopting a Gibbs-type prior, we provide an explicit expression for the posterior joint distribution of the frequency counts of the rare variants, and we investigate some of its statistical properties. The proposed results are illustrated by means of two novel applications to a benchmark genomic dataset. (C) 2014 Elsevier Inc. All rights reserved.
Articolo in rivista - Articolo scientifico
Asymptotic credible intervals; Bayesian nonparametric inference; Exchangeable random partition; Gibbs-type random probability measure; Index of diversity; Rare variant; Sampling formula; Species sampling problem; Two parameter Poisson-Dirichlet process
English
2014
131
79
98
none
Cesari, O., Favaro, S., Nipoti, B. (2014). Posterior analysis of rare variants in Gibbs-type species sampling models. JOURNAL OF MULTIVARIATE ANALYSIS, 131, 79-98 [10.1016/j.jmva.2014.06.017].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/250027
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