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• W2023765510 abstract "Measure-valued Markov chains have raised interest in Bayesian nonparametrics since the seminal paper by (Math. Proc. Cambridge Philos. Soc. 105 (1989) 579–585) where a Markov chain having the law of the Dirichlet process as unique invariant measure has been introduced. In the present paper, we propose and investigate a new class of measure-valued Markov chains defined via exchangeable sequences of random variables. Asymptotic properties for this new class are derived and applications related to Bayesian nonparametric mixture modeling, and to a generalization of the Markov chain proposed by (Math. Proc. Cambridge Philos. Soc. 105 (1989) 579–585), are discussed. These results and their applications highlight once again the interplay between Bayesian nonparametrics and the theory of measure-valued Markov chains." @default.
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• W2023765510 date "2012-08-01" @default.
• W2023765510 modified "2023-10-16" @default.
• W2023765510 title "A class of measure-valued Markov chains and Bayesian nonparametrics" @default.
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• W2023765510 doi "https://doi.org/10.3150/11-bej356" @default.
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