The \(\beta\)-Birnbaum-Saunders distribution: an improved distribution for fatigue life modeling

DOI10.1016/J.CSDA.2010.10.007zbMath1328.62572OpenAlexW2045519606MaRDI QIDQ901513

Artur J. Lemonte

Publication date: 12 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.csda.2010.10.007

zbMATH Keywords

maximum likelihood estimationlifetime databeta distributionmean deviationBirnbaum-Saunders distributionfatigue life distribution

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

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Uses Software

• Mathematica
• R
• Ox

Cites Work

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• A new family of life distributions based on the elliptically contoured distributions
• Improved interval estimation for the two-parameter Birnbaum-Saunders distribution
• Inference procedures for the Birnbaum-Saunders distribution and its generalizations
• The beta generalized half-normal distribution
• Improved statistical inference for the two-parameter Birnbaum-Saunders distribution
• On the hazard function of Birnbaum-Saunders distribution and associated inference
• A Miller algorithm for an incomplete Bessel function
• Computing the moments of order statistics from nonidentical random variables
• The beta Gumbel distribution
• Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions
• INCOMPLETE BESSEL FUNCTIONS. I
• A moment-generating function with application to the birnbaum-saunders distribution
• BETA-NORMAL DISTRIBUTION AND ITS APPLICATIONS
• INCOMPLETE BESSEL FUNCTIONS. II. ASYMPTOTIC EXPANSIONS FOR LARGE ARGUMENT
• 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

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