Bayesian analysis of Birnbaum-Saunders distribution via the generalized ratio-of-uniforms method

DOI10.1007/s00180-015-0629-zzbMath1342.65066OpenAlexW2192892776WikidataQ58045637 ScholiaQ58045637MaRDI QIDQ736587

Chanseok Park, Xiaoqian Sun, Min Wang

Publication date: 4 August 2016

Published in: Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00180-015-0629-z

zbMATH Keywords

maximum likelihood estimationBayes estimatorlifetime datafatigue life distributionposterior analysis

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Bayesian inference (62F15) Estimation in survival analysis and censored data (62N02)

Related Items (6)

Bayesian Computation in a Birnbaum–Saunders Reliability Model with Applications to Fatigue Data ⋮ Bayesian reliability estimation for the Topp-Leone distribution under progressively type-II censored samples ⋮ Confidence intervals for the variance and difference of variances of Birnbaum-Saunders distributions ⋮ Bayesian inference for Birnbaum–Saunders distribution and its generalization ⋮ Fast Bayesian inference for Birnbaum-Saunders distribution ⋮ Birnbaum‐Saunders distribution: A review of models, analysis, and applications

Uses Software

• R
• LearnBayes
• gbs
• TeachingDemos

Cites Work

• A robust extension of the bivariate Birnbaum-Saunders distribution and associated inference
• Bayesian inference for the Birnbaum-Saunders nonlinear regression model
• Bayesian analysis of Birnbaum-Saunders distribution with partial information
• Optimal scaling for random walk Metropolis on spherically constrained target densities
• Modified moment estimation for the two-parameter Birnbaum-Saunders distribution
• Improved statistical inference for the two-parameter Birnbaum-Saunders distribution
• Reference analysis for Birnbaum-Saunders distribution
• Inferences for the Birnbaum-Saunders fatigue life model using Bayesian methods
• On the existence and uniqueness of the maximum likelihood estimates of the parameters of Birnbaum–Saunders distribution based on Type-I, Type-II and hybrid censored samples
• Reference priors with partial information
• Inferences on the Parameters of the Birnbaum-Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation
• Robust explicit estimation of the two-parameter Birnbaum–Saunders distribution
• Bootstrap-based improved estimators for the two-parameter Birnbaum–Saunders distribution
• A new family of life distributions
• Estimation for a family of life distributions with applications to fatigue
• Conditioning of Quasi-Newton Methods for Function Minimization
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