Revisit of relationships and models for the Birnbaum-Saunders and inverse-Gaussian distributions

DOI10.1186/s40488-015-0034-8zbMath1360.62059OpenAlexW2145553563WikidataQ59411047 ScholiaQ59411047MaRDI QIDQ268371

William Jason Owen, Hon Keung Tony Ng

Publication date: 15 April 2016

Published in: Journal of Statistical Distributions and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s40488-015-0034-8

zbMATH Keywords

bimodalityfatiguegeneralized Birnbaum-Saunders distributioncycles to failuremoment-ratio diagram

Mathematics Subject Classification ID

Point estimation (62F10) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05)

Related Items (5)

Bimodal Birnbaum–Saunders generalized autoregressive score model ⋮ Reliability prediction based on Birnbaum-Saunders model and its application to smart meter ⋮ Reliability statistical analysis about products of Birnbaum–Saunders fatigue life distribution for life test and progressive stress accelerated life test ⋮ Inference in a bimodal Birnbaum-Saunders model ⋮ Discussion of “Birnbaum‐Saunders distribution: A review of models, analysis, and applications”

Uses Software

• R
• gbs
• bs
• mixtools
• SPLIDA

Cites Work

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• The exponentiated generalized Birnbaum-Saunders distribution
• Epsilon Birnbaum-Saunders distribution family: properties and inference
• A new family of life distributions based on the elliptically contoured distributions
• The \(\beta\)-Birnbaum-Saunders distribution: an improved distribution for fatigue life modeling
• Testing hypotheses in the Birnbaum-Saunders distribution under type-II censored samples
• Point and interval estimation for the two-parameter Birnbaum-Saunders distribution based on type-II censored samples
• An R implementation for generalized Birnbaum-Saunders distributions
• An extension of the generalized Birnbaum-Saunders distribution
• A length-biased version of the Birnbaum-Saunders distribution with application in water quality
• On some mixture models based on the Birnbaum-Saunders distribution and associated inference
• A new class of mixture models for differential gene expression in DNA microarray data
• Inferences for the Birnbaum-Saunders fatigue life model using Bayesian methods
• Cumulative Damage Models for System Failure with Application to Carbon Fibers and Composites
• 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
• A Family of Random Variables Closed Under Reciprocation
• A moment-generating function with application to the birnbaum-saunders distribution
• Weibull Models
• The generalized T Birnbaum–Saunders family
• The Generalized Birnbaum–Saunders Distribution and Its Theory, Methodology, and Application
• A new family of life distributions
• Estimation for a family of life distributions with applications to fatigue
• A Log-Linear Model for the Birnbaum-Saunders Distribution

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