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• W2088403969 abstract "In this paper we investigate the stick-breaking representation for the class of $sigma$-stable Poisson-Kingman models, also known as Gibbs-type random probability measures. This class includes as special cases most of the discrete priors commonly used in Bayesian nonparametrics, such as the two parameter Poisson-Dirichlet process and the normalized generalized Gamma process. Under the assumption $sigma=u/v$, for any coprime integers $1leq u<v$ such that $u/vleq1/2$, we show that a $sigma$-stable Poisson-Kingman model admits an explicit stick-breaking representation in terms of random variables which are obtained by suitably transforming Gamma random variables and products of independent Beta and Gamma random variables." @default.
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• W2088403969 date "2014-01-01" @default.
• W2088403969 modified "2023-10-16" @default.
• W2088403969 title "On the stick-breaking representation of $sigma$-stable Poisson-Kingman models" @default.
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• W2088403969 doi "https://doi.org/10.1214/14-ejs921" @default.
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