Improved statistical inference for the two-parameter Birnbaum-Saunders distribution

DOI10.1016/j.csda.2006.08.016zbMath1162.62419OpenAlexW2060554568MaRDI QIDQ1020129

Artur J. Lemonte, Klaus L. P. Vasconcellos, Francisco Cribari-Neto

Publication date: 29 May 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2006.08.016

zbMATH Keywords

bootstraplikelihood ratio testmaximum likelihood estimationinterval estimationjackknifeBartlett correctionbias correctionBirnbaum-Saunders distribution

Mathematics Subject Classification ID

Point estimation (62F10) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (63)

Improved Birnbaum-Saunders inference under type II censoring ⋮ Estimation based on ranked set sampling for the two-parameter Birnbaum–Saunders distribution ⋮ bccp: an R package for life-testing and survival analysis ⋮ The exponentiated generalized Birnbaum-Saunders distribution ⋮ An extended fatigue life distribution ⋮ Improved point estimation for the Kumaraswamy distribution ⋮ Reliability prediction based on Birnbaum-Saunders model and its application to smart meter ⋮ Bivariate log Birnbaum–Saunders distribution ⋮ Application of Sedyakin's model and Birnbaum-Saunders family for statistical analysis of redundant systems with one warm stand-by unit ⋮ An alpha-power extension for the Birnbaum–Saunders distribution ⋮ Improved maximum likelihood estimators for the parameters of the Johnson S_B distribution ⋮ Bias-corrected maximum likelihood estimators of the parameters of the inverse Weibull distribution ⋮ Signed likelihood ratio tests in the Birnbaum-Saunders regression model ⋮ Diagnostics for a class of survival regression models with heavy-tailed errors ⋮ Generalized interval estimation for the Birnbaum-Saunders distribution ⋮ Likelihood inference for Birnbaum–Saunders frailty model with an application to bone marrow transplant data ⋮ Improved maximum likelihood estimation of the parameters of the Gamma-Uniform distribution with bias-corrections ⋮ Bayesian inference for Birnbaum–Saunders distribution and its generalization ⋮ Bayesian inference for the Birnbaum-Saunders nonlinear regression model ⋮ Fast Bayesian inference for Birnbaum-Saunders distribution ⋮ Classical and Bayesian inference for an extended generalized Birnbaum-Saunders distribution ⋮ The \(\beta\)-Birnbaum-Saunders distribution: an improved distribution for fatigue life modeling ⋮ Bayesian analysis of Birnbaum-Saunders distribution with partial information ⋮ Testing hypotheses in the Birnbaum-Saunders distribution under type-II censored samples ⋮ On multivariate log Birnbaum-Saunders distribution ⋮ Improved estimators in beta prime regression models ⋮ A log-linear regression model for the \(\beta\)-Birnbaum-Saunders distribution with censored data ⋮ Influence diagnostics in Birnbaum–Saunders nonlinear regression models ⋮ Unnamed Item ⋮ Reference analysis for Birnbaum-Saunders distribution ⋮ Size and power properties of some tests in the Birnbaum-Saunders regression model ⋮ A new extension of the Birnbaum-Saunders distribution ⋮ Inference for the common mean of several Birnbaum–Saunders populations ⋮ Improved maximum-likelihood estimators for the parameters of the unit-gamma distribution ⋮ New acceptance sampling plans based on life tests for Birnbaum–Saunders distributions ⋮ Inference in a bimodal Birnbaum-Saunders model ⋮ An R implementation for generalized Birnbaum-Saunders distributions ⋮ Birnbaum-Saunders nonlinear regression models ⋮ Inference procedures for the Birnbaum-Saunders distribution and its generalizations ⋮ Improved likelihood inference in Birnbaum-Saunders regressions ⋮ Asymptotic skewness in Birnbaum-Saunders nonlinear regression models ⋮ A log-Birnbaum–Saunders regression model with asymmetric errors ⋮ Interval estimation for the shape and scale parameters of the Birnbaum-Saunders distribution ⋮ On the Crack random numbers generation procedure ⋮ Birnbaum‐Saunders distribution: A review of models, analysis, and applications ⋮ Discussion of “Birnbaum‐Saunders distribution: A review of models, analysis, and applications” ⋮ Authors' Rejoinder ⋮ The Birnbaum-Saunders autoregressive conditional duration model ⋮ Bayesian analysis of Birnbaum-Saunders distribution via the generalized ratio-of-uniforms method ⋮ A new extended Birnbaum-Saunders regression model for lifetime modeling ⋮ An extended Birnbaum–Saunders distribution: Theory, estimation, and applications ⋮ Small-Sample Corrections for Score Tests in Birnbaum–Saunders Regressions ⋮ Multivariate Birnbaum–Saunders regression model ⋮ Multivariate Birnbaum–Saunders distribution: properties and associated inference ⋮ Covariance matrix formula for Birnbaum–Saunders regression models ⋮ Fiducial inference for Birnbaum-Saunders distribution ⋮ Bias corrected MLEs under progressive type-II censoring scheme ⋮ Estimation of the generalized process capability indexC_pykbased on bias-corrected maximum-likelihood estimators for the generalized inverse Lindley distribution and bootstrap confidence intervals ⋮ Exact statistical inferences for the median of the Birnbaum–Saunders distribution ⋮ On the hazard function of Birnbaum-Saunders distribution and associated inference ⋮ On Birnbaum-Saunders inference ⋮ An extension of the Birnbaum-Saunders distribution as a model for fatigue failure due to multiple cracks ⋮ The odd Birnbaum-Saunders regression model with applications to lifetime data

Uses Software

• Ox
• bootstrap

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new family of life distributions based on the elliptically contoured distributions
• Modified moment estimation for the two-parameter Birnbaum-Saunders distribution
• Improved interval estimation for the two-parameter Birnbaum-Saunders distribution
• Theoretical comparison of bootstrap confidence intervals
• Bootstrap methods: another look at the jackknife
• Approximate bias correction in econometrics
• Accelerated test models for system strength based on Birnbaum-Saunders distributions
• On the corrections to the Wald test of nonlinear restrictions
• Econometric and statistical computing using Ox
• Modified censored moment estimation for the two-parameter Birnbaum-Saunders distribution
• Inferences for the Birnbaum-Saunders fatigue life model using Bayesian methods
• A GENERAL METHOD FOR APPROXIMATING TO THE DISTRIBUTION OF LIKELIHOOD RATIO CRITERIA
• A modified score test statistic having chi-squared distribution to order n⁻¹
• Influence Diagnostics in log-Birnbaum-Saunders Regression Models
• Stochastic models of failure in random environments
• On the Relationship between Two Fatigue-Life Models
• Better Bootstrap Confidence Intervals
• Bootstrap Confidence Intervals and Bootstrap Approximations
• Inferences on the Parameters of the Birnbaum-Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation
• Nonparametric standard errors and confidence intervals
• A Family of Random Variables Closed Under Reciprocation
• A moment-generating function with application to the birnbaum-saunders distribution
• Reliability bounds and critical time for the Birnbaum-Saunders distribution
• A symbolic algorithm for studying adjustments to the profile likelihood
• Parameter estimation for ihe birnbaum-saunders distribution based on symmetrically censored samples
• On bartlett and bartlett-type corrections francisco cribari-neto
• Percentile bounds and tolerance limits for the birnbaum-saunders distribution
• A new family of life distributions
• Estimation for a family of life distributions with applications to fatigue
• Linear Statistical Inference and its Applications
• A Log-Linear Model for the Birnbaum-Saunders Distribution
• Properties of sufficiency and statistical tests

This page was built for publication: Improved statistical inference for the two-parameter Birnbaum-Saunders distribution