A Note on Classes of Lifetime Distributions

DOI10.1515/EQC.2007.107zbMath1129.62089OpenAlexW2104006866MaRDI QIDQ5441870

Ibrahim Elbatal

Publication date: 15 February 2008

Published in: Economic Quality Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/eqc.2007.107

zbMATH Keywords

moment generating functionclosure propertiesmoment inequalityTTT-transformnonparametric classes

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Cites Work

• Testing whether survival function is harmonic new better than used in expectation
• On renewal failure rate classes of life distributions
• Further moments inequalities of life distributions with hypothesis testing applications: The IFRA, NBUC and DMRL classes.
• A test for exponentiatity against hnbue alternatives
• The new better than used failure rate class of life distribution
• Geometry of the total time on test transform
• Likelihood Ratio Tests for Restricted Families of Probability Distributions
• Tests for Monotone Failure Rate Based on Normalized Spacings
• Testing Whether New is Better than Used
• Moments inequalities of aging families of distributions with hypotheses testing applications

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