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• W1993855931 abstract "This paper first recalls some stochastic orderings useful for studying the ℒ-class and the Laplace order in general. We use these orders to show that the higher moments of an ℒ-class distribution need not exist. Using simple sufficient conditions for the Laplace ordering, we give examples of distributions in the ℒ- and ℒ α -classes. Moreover, we present explicit sharp bounds on the survival function of a distribution belonging to the ℒ-class of life distributions. The results reveal that the ℒ-class should not be seen as a more comprehensive class of ageing distributions but rather as a large class of life distributions on its own." @default.
• W1993855931 created "2016-06-24" @default.
• W1993855931 creator A5006230967 @default.
• W1993855931 date "2002-03-01" @default.
• W1993855931 modified "2023-09-24" @default.
• W1993855931 title "A note on the ℒ-class of life distributions" @default.
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• W1993855931 doi "https://doi.org/10.1239/jap/1019737984" @default.
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