Characterizations of the \({\mathcal L}\)-class of life distributions

DOI10.1016/S0167-7152(98)00102-3zbMath0965.62009MaRDI QIDQ1305288

Gwo Dong Lin

Publication date: 31 July 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Laplace transformexponential distributioncharacterizationcompletely monotone functionequilibrium transformation

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Laplace transform (44A10) Reliability and life testing (62N05)

Related Items (12)

S -Convex Extrema, Taylor-Type Expansions and Stochastic Approximations ⋮ Characterizations of the exponential distribution by stochastic ordering properties of the geometric compound ⋮ Laplace transform ordering of actuarial quantities. ⋮ Necessary and sufficient conditions for unique solution to functional equations of Poincaré type ⋮ On class \(\mathcal L\), class \(\mathcal G\) and compound distributions in reliability. ⋮ Characterizations of distributions via the stochastic ordering property of random linear forms ⋮ Insensitive bounds for the moments of the sojourn time distribution in the \(M/G/1\) processor-sharing queue ⋮ Formulas of absolute moments ⋮ A separation theorem for the weak \(s\)-convex orders ⋮ An identity for two integral transforms applied to the uniqueness of a distribution via its Laplace–Stieltjes transform ⋮ A test for detecting Laplace order dominance and related Bahadur efficiency issues ⋮ Stochastic orders based on the Laplace transform and infinitely divisible distributions

Cites Work

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• On the coefficient of variation of the \({\mathcal L}\)- and \(\bar {\mathcal L}\)-classes
• Convergence of a sequence of transformations of distribution functions
• A useful ageing property based on the Laplace transform
• On weak convergence within the hnbue family of life distributions
• The hnbue and hnwue classes of life distributions
• On maximal sets of functions compatible with a partial ordering for distribution functions
• A Lower Bound on the L-Class of Life Distributions and its Applications
• Characterizing the Exponential Law Under Laplace Order Domination
• Coefficient of variation for the L-class of life distributions
• Laplace ordering and its applications

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