Sampling from the posterior distribution in generalized linear mixed models
Statistics and Computing
Auxiliary mixture sampling with applications to logistic models
Computational Statistics & Data Analysis
The effect of rounding on payment efficiency
Computational Statistics & Data Analysis
Improved auxiliary mixture sampling for hierarchical models of non-Gaussian data
Statistics and Computing
A comparative study of Monte Carlo methods for efficient evaluation of marginal likelihood
Computational Statistics & Data Analysis
On marginal likelihood computation in change-point models
Computational Statistics & Data Analysis
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Several new estimators of the marginal likelihood for complex non-Gaussian models are developed. These estimators make use of the output of auxiliary mixture sampling for count data and for binary and multinomial data. One of these estimators is based on combining Chib's estimator with data augmentation as in auxiliary mixture sampling, while the other estimators are importance sampling and bridge sampling based on constructing an unsupervised importance density from the output of auxiliary mixture sampling. These estimators are applied to a logit regression model, to a Poisson regression model, to a binomial model with random intercept, as well as to state space modeling of count data.