On some mixture models based on the Birnbaum-Saunders distribution and associated inference

DOI10.1016/j.jspi.2010.12.005zbMath1214.62014OpenAlexW2054429985MaRDI QIDQ2431560

Debasis Kundu, Víctor Leiva, Ramesh C. Gupta, Narayanaswamy Balakrishnan, Antonio I. Sanhueza

Publication date: 15 April 2011

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.2010.12.005

zbMATH Keywords

EM algorithmFisher informationinverse Gaussian distributiongoodness-of-fithazard rate functionmaximum likelihood methodslength-biased distributions

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10) Exact distribution theory in statistics (62E15) Estimation in survival analysis and censored data (62N02)

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Uses Software

• bs

Cites Work

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• Modified moment estimation for the two-parameter Birnbaum-Saunders distribution
• Point and interval estimation for the two-parameter Birnbaum-Saunders distribution based on type-II censored samples
• Estimation of the Birnbaum-Saunders regression model with current status data
• Influence diagnostics in log-Birnbaum-Saunders regression models with censored data
• On the hazard function of Birnbaum-Saunders distribution and associated inference
• Statistical properties of the generalized inverse Gaussian distribution
• The inverse Gaussian distribution. Statistical theory and applications
• Estimation of critical points in the mixture inverse Gaussian model
• A length-biased version of the Birnbaum-Saunders distribution with application in water quality
• On stochastic inequalities and comparisons of reliability measures for weighted distributions
• On the reliability studies of a weighted inverse Gaussian model
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• The role of weighted distributions in stochastic modeling
• Mixture inverse Gaussian distributions and its transformations, moments and applications
• Acceptance Sampling Plans from Truncated Life Tests Based on the Generalized Birnbaum–Saunders Distribution
• Characterization of inverse-Gaussian and gamma distributions through their length-biased distributions
• Relations for reliability measures of weighted distributions
• A Skewed Sinh-Normal Distribution and Its Properties and Application to Air Pollution
• Fatigue Failure Models ߝ Birnbaum-Saunders vs. Inverse Gaussian
• Stochastic models of failure in random environments
• On the Relationship between Two Fatigue-Life Models
• Inferences on the Parameters of the Birnbaum-Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation
• Weighted Distributions and Size-Biased Sampling with Applications to Wildlife Populations and Human Families
• Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information
• RELIABILITY ESTIMATION VIA LENGTH-BIASED TRANSFORMATION
• The Generalized Birnbaum–Saunders Distribution and Its Theory, Methodology, and Application
• A new family of life distributions
• A new class of survival regression models with heavy-tailed errors: robustness and diagnostics