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A note on Bayesian credible sets in restricted parameter space problems and lower bounds for frequentist coverage
Bayesian methods Credible sets Frequentist coverage probability Lower bound Restricted Parameter Spending function
2012/9/17
For estimating a lower bounded parametric function in the framework of Marchand and Strawderman(2006), we provide “through” a unified approach a class of Bayesian confidence intervals with credibility...
Blending Bayesian and frequentist methods according to the precision of prior information with an application to hypothesis testing
blended inference confidence distribution confidence posterior
2011/7/19
The following zero-sum game between nature and a statistician blends Bayesian methods with frequentist methods such as p-values and confidence intervals. Nature chooses a posterior distribution consis...
Regularization in regression: comparing Bayesian and frequentist methods in a poorly informative situation
Regularization regression comparing Bayesian frequentist methods
2010/10/14
We propose a global noninformative approach for Bayesian variable selection that builds on Zellner's g-priors and is similar to Liang et al. (2008). Our proposal does not require any kind of calibrati...
Frequentist Bayes is Objective(Comment on Articles by Berger and by Goldstein)
coverage frequency probability objective Bayesian inference
2009/9/21
In this comment, I argue that Bayes procedures with good frequentist
properties are objective. I introduce the idea with a short play, followed by some
commentary.
On the Bayesian Approach for Frequentist Computations
the Bayesian Approach Frequentist Computations
2009/9/18
On the Bayesian Approach for Frequentist Computations。
On the frequentist coverage of Bayesian credible intervals for lower bounded means
Bayesian credible sets restricted parameter space frequentist coverage probability logconcavity
2009/9/16
For estimating a lower bounded location or mean parameter for a symmetric and logconcave density, we investigate the frequentist performance of the $100(1-alpha)%$ Bayesian HPD credible set associated...
On the frequentist and Bayesian approaches to hypothesis testing
Bayes factor consistency intrinsic priors loss function model posterior probability pvalues
2009/2/23
Hypothesis testing is a model selection problem for which the solution proposed by the two main
statistical streams of thought, frequentists and Bayesians, substantially differ. One may think that th...