405 citations · 759 across the 5 of their papers we have counts for
7 papers · 1 filter
Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem
James G. Scott, James O. Berger
This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity…
The formal definition of reference priors
James O. Berger, José M. Bernardo, Dongchu Sun
Reference analysis produces objective Bayesian inference, in the sense that inferential statements depend only on the assumed model and the available data, and the prior distributi…
Objective Bayes testing of Poisson versus inflated Poisson models
M. J. Bayarri, James O. Berger, Gauri S. Datta
The Poisson distribution is often used as a standard model for count data. Quite often, however, such data sets are not well fit by a Poisson model because they have more zeros tha…
Objective Bayesian analysis under sequential experimentation
Dongchu Sun, James O. Berger
Objective priors for sequential experiments are considered. Common priors, such as the Jeffreys prior and the reference prior, will typically depend on the stopping rule used for t…
Objective priors for the bivariate normal model
James O. Berger, Dongchu Sun
Study of the bivariate normal distribution raises the full range of issues involving objective Bayesian inference, including the different types of objective priors (e.g., Jeffreys…
Posterior propriety and admissibility of hyperpriors in normal hierarchical models
James O. Berger, William Strawderman, Dejun Tang
Hierarchical modeling is wonderful and here to stay, but hyperparameter priors are often chosen in a casual fashion. Unfortunately, as the number of hyperparameters grows, the effe…