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Computing the Bayes Factor from a Markov chain Monte Carlo Simulation of the Posterior Distribution
Markov chain Bayes Factor
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2014/12/22
Computation of the marginal likelihood from a simulated posterior distribution is central to Bayesian model selection but is computationally difficult. I argue that the marginal likelihood can be reli...
About the posterior distribution in hidden Markov Models with unknown number of states
Hidden Markov models number of components order selection Bayesian statistics posterior distribution
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2012/9/19
In this paper, we investigate the asymptotic behaviour of the posterior distribution in hidden Markov models (HMMs) when using Bayesian methodology. We obtain a general asymptotic result, and give con...
On the posterior distribution of classes of random means
Bayesian nonparametrics completely random measures means of randomprobability measures normalized random measures Poisson–Dirichlet process
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2010/3/10
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 ...