Characterizations of stochastic orders based on ratios of Laplace transforms

DOI10.1016/S0167-7152(98)00216-8zbMath0918.62008MaRDI QIDQ1284068

Jarosław Bartoszewicz

Publication date: 7 July 1999

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

zbMATH Keywords

Laplace transformscharacterization theorempartial ordersnegative moments

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (7)

Interval Laplace transform and its application in production inventory ⋮ Laplace transform ordering of actuarial quantities. ⋮ The additive hazard mixing models ⋮ Proportional ratios orders based on laplace transforms ⋮ Negative aging and stochastic comparisons of residual lifetimes in multivariate frailty models ⋮ A new stochastic order based upon Laplace transform with applications ⋮ Stochastic orders based on the Laplace transform and infinitely divisible distributions

Cites Work

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• A note on dispersive ordering defined by hazard functions
• Tail ordering and asymptotic efficiency of rank tests
• A general composition theorem and its applications to certain partial orderings of distributions
• A useful ageing property based on the Laplace transform
• The renewal-process stationary-excess operator
• Stochastic orders based on ratios of Laplace transforms
• Uniform stochastic orderings and total positivity
• Laplace ordering and its applications
• Dispersive ordering of distributions

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