Some New Results on the Moment Generating Function Order and Related Life Distributions

DOI10.1239/JAP/1294170509zbMath1203.62177OpenAlexW2031720422MaRDI QIDQ3067836

Xiaohu Li, Shouhong Zhang

Publication date: 13 January 2011

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1294170509

zbMATH Keywords

minimal repairrandom sumage replacementblock replacementcomplete repair

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05) Distribution theory (60E99)

Related Items (2)

On an ageing class based on the moment generating function order ⋮ A test of exponentiality against ℳ alternatives

Cites Work

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• A note on replacement policy comparisons from NBUC lifetime of the unit
• The Laplace order and ordering of residual lives
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• The NBUL class of life distribution and replacement policy comparisons
• A useful ageing property based on the Laplace transform
• A note on the ℒ-class of life distributions
• Characterizations of classes of lifetime distributions generalizing the NBUE class
• Some properties of ageing notions based on the moment-generating-function order
• Repair replacement policies
• Maintenance comparisons: block policies

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