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We investigate the problem of deriving posterior concentration rates under different loss functions in nonparametric Bayes. We first provide a lower bound on posterior coverages of shrinking neighbour...
Semiparametric posterior limits     Semiparametric  posterior  limits       2013/6/14
We review the Bayesian theory of semiparametric inference following Bickel and Kleijn (2012) and Kleijn and Knapik (2013). After an overview of efficiency in parametric and semiparametric estimation p...
Inferring phylogenetic trees from multiple sequence alignments often relies upon Markov chain Monte Carlo (MCMC) methods to generate tree samples from a posterior distribution. To give a rigorous appr...
This paper addresses the estimation of the nonparametric conditional moment restricted model that involves an infinite dimensional parameter g0. We estimate it in a quasi-Bayesian way based on the l...
We provide a representation of reversible-jump Markov chain Monte Carlo as Gibbs sampling with alternating updates of a model indicator and a "palette" of parameters we denote $\bm \psi$. A key innova...
Because of their multimodality, mixture posterior densities are difficult to sample with standard Markov chain Monte Carlo (MCMC) methods. We propose a strategy to enhance the sampling of MCMC in th...
The study of properties of mean functionals of random probability measures is an important area of research in the theory of Bayesian nonparametric statistics. Many results are now known for random ...
In this paper, we investigate the asymptotic properties of nonparametric Bayesian mixtures of Betas for estimating a smooth density on [0, 1]. We consider a parametrization of Beta distributions in ...
In this paper we address the problem of obtaining a single clustering estimate c based on an MCMC sample of clusterings c(1), c(2) . . . , c(M) from the posterior distribution of a Bayesi...
In this paper,following the robust Bayesian paradigm, a procedure based on the posterior regret-minimax principle is applied to derive,in a straightforwar way, new credibility formula,making use of ...
It is argued that the posterior predictive distribution for the binomial and multinomial distributions,when viewed via a hypergeometric-like representa- tion, suggests the uniform prior on the param...
In Scott (2002) and Congdon (2006), a new method is advanced to compute posterior probabilities of models under consideration. It is based solely on MCMC outputs restricted to single models, i.e., i...
Any unperturbed and perturbed posterior density can formally be linked by a mixture. Many divergences between the unperturbed and perturbed posterior density-global measures of inuenceof the perturb...
Coherence, Bayes’s Theorem and Posterior Distributions。
Expected Posterior Priors in Factor Analysis。

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