On estimation and influence diagnostics for log-Birnbaum-Saunders Student-\(t\) regression models: full Bayesian analysis

DOI10.1016/j.jspi.2010.02.017zbMath1188.62135OpenAlexW2073838077MaRDI QIDQ974496

Edwin M. M. Ortega, Gilberto A. Paula, Vicente G. Cancho

Publication date: 3 June 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.02.017

zbMATH Keywords

survival analysisKullback-Leibler divergenceBayesian inferencegeneralized Birnbaum-Saunders distributionsinh-normal distributioninfluential observationBayesian diagnostic measure

Mathematics Subject Classification ID

Censored data models (62N01) Bayesian inference (62F15) Numerical analysis or methods applied to Markov chains (65C40) Estimation in survival analysis and censored data (62N02)

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Uses Software

• Ox
• SPLIDA

Cites Work

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• A new family of life distributions based on the elliptically contoured distributions
• An extension of the generalized Birnbaum-Saunders distribution
• Diagnostics analysis for log-Birnbaum-Saunders regression models
• Influence diagnostics in log-Birnbaum-Saunders regression models with censored data
• Lifetime analysis based on the generalized Birnbaum-Saunders distribution
• Accelerated test models for system strength based on Birnbaum-Saunders distributions
• Monte Carlo methods in Bayesian computation
• Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review
• Acceptance Sampling Plans from Truncated Life Tests Based on the Generalized Birnbaum–Saunders Distribution
• Influence Diagnostics in log-Birnbaum-Saunders Regression Models
• Bayesian Case Influence Diagnostics for Survival Models
• Stochastic models of failure in random environments
• BAYESIAN INFERENCE IN BIRNBAUM–SAUNDERS REGRESSION
• Bayesian Measures of Model Complexity and Fit
• The Generalized Birnbaum–Saunders Distribution and Its Theory, Methodology, and Application
• A new family of life distributions
• A Log-Linear Model for the Birnbaum-Saunders Distribution
• A new class of survival regression models with heavy-tailed errors: robustness and diagnostics