Aspects of Bayesian robustness in hierarchical models [with discussion and rejoinder]

P Gustafson, S Bose - Lecture Notes-Monograph Series, 1996 - JSTOR
This article examines the sensitivity of inferences to perturbations at various stages of a
hierarchically specified prior. For the most part, a local method of assessing sensitivity is …

On the Bayesian estimation and influence diagnostics for the Weibull-Negative-Binomial regression model with cure rate under latent failure causes

B Yiqi, VG Cancho, F Louzada - Communications in Statistics …, 2017 - Taylor & Francis
The purpose of this paper is to develop a Bayesian approach for the Weibull-Negative-
Binomial regression model with cure rate under latent failure causes and presence of …

Applying sensitivity analysis to missing data in classifiers

L Lei, N Wu, P Liu - Proceedings of ICSSSM'05. 2005 …, 2005 - ieeexplore.ieee.org
Among all the technologies of data mining, predictive classification has a wide range of
application. People do some prediction by building up classification models and hope to …

Robustness issues in Bayesian model selection

B Liseo - Robust Bayesian Analysis, 2000 - Springer
One of the most prominent goals of Bayesian robustness is to study the sensitivity of final
answers to the various inputs of a statistical analysis. Also, since the use of extra …

Accuracy of posterior approximations via χ2 and harmonic divergences

GL Gilardoni - Journal of statistical planning and inference, 2005 - Elsevier
We propose to use χ2 and Harmonic divergences as global measures of accuracy of an
approximation π ̂ to a posterior density of interest π. We prove some inequalities which …

Bayesian estimation and influence diagnostics of generalized partially linear mixed-effects models for longitudinal data

XD Duan, NS Tang - Statistics, 2016 - Taylor & Francis
This paper develops a Bayesian approach to obtain the joint estimates of unknown
parameters, nonparametric functions and random effects in generalized partially linear …

Sufficiency and Influence [With Discussion]

R Weiss, J De La Horra - Lecture Notes-Monograph Series, 1996 - JSTOR
Consider two models M1 and M2 proposed as models for the same data. Assume that the
conclusions from both models are posteriors and of some inferential target θ given the data …

Bayesian sensitivity analysis and model comparison for skew elliptical models

I Vidal, P Iglesias, MD Branco… - Journal of statistical …, 2006 - Elsevier
In this work we approach the problem of model comparison between skew families. For the
univariate skew model, we measure the sensitivity of the skewness parameter using the L1 …

GENERAL ROBUST BAYES PSEUDO-POSTERIORS

A Ghosh, T Majumder, A Basu - Statistica Sinica, 2022 - JSTOR
Although Bayesian inference is a popular paradigm among a large segment of scientists,
including statisticians, most applications consider objective priors and need critical …

Estimation and influence diagnostics for zero-inflated hyper-Poisson regression model: full Bayesian analysis

VG Cancho, B Yiqi, JA Fiorucci… - … in Statistics-Theory …, 2018 - Taylor & Francis
The purpose of this paper is to develop a Bayesian analysis for the zero-inflated hyper-
Poisson model. Markov chain Monte Carlo methods are used to develop a Bayesian …