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A Random Weighting Approach for Posterior Distributions
posterior distribution asymptotic expansion random weighting method
2012/9/19
In Bayesian theory, calculating a posterior probability distribution is highly important but usually difficult. Therefore, some methods have been put forward to deal with such problem, among which, th...
Rates of convergence for the posterior distributions of mixtures of Betas and adaptive nonparametric estimation of the density
Bayesian nonparametric rates of convergence mixtures of Betas adaptive estimation kernel
2010/3/9
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
...
Local Influence on Posterior Distributions under Multiplicative Modes of Perturbation
Bayesian robustness case deletion
2009/9/22
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
Coherence Bayes’s Theorem Posterior Distributions
2009/9/17
Coherence, Bayes’s Theorem and Posterior Distributions。
Posterior Distributions for the Laplace Mean Arising from Ratios
Posterior Distributions Laplace Mean Arising Ratios
2009/9/17
Posterior Distributions for the Laplace Mean Arising from Ratios。
Evaluation of Formal posterior distributions via Markov chain arguments
Admissibility formal Bayes improper prior distribution multivariate normal distribution recurrence superharmonic function
2010/4/26
We consider evaluation of proper posterior distributions obtained
from improper prior distributions. Our context is estimating a bounded
function of a parameter when the loss is quadratic. If the ...
On rates of convergence for posterior distributions under misspecification
α-covering Bayesian nonparametrics Prior misspecification
2010/4/26
We extend the approach of Walker (2003, 2004) to the case of misspecified models.
A sufficient condition for establishing rates of convergence is given based on a key
identity involving martingales,...