Recently the new Laplace transform ratio stochastic order has been identified and studied in some detail. In this paper we first note a simple useful property of the Laplace transform ratio order. We apply this property to families of non-negative random variables that have the generalized semigroup property. We thus obtain a Laplace transform ratio order comparison for a host of non-negative random variables. Examples and applications of the resulting Laplace transform ratio order comparisons, which are of interest in reliability theory, are then described.
Some applications of the Laplace transform ratio order
DI CRESCENZO, Antonio;
1996-01-01
Abstract
Recently the new Laplace transform ratio stochastic order has been identified and studied in some detail. In this paper we first note a simple useful property of the Laplace transform ratio order. We apply this property to families of non-negative random variables that have the generalized semigroup property. We thus obtain a Laplace transform ratio order comparison for a host of non-negative random variables. Examples and applications of the resulting Laplace transform ratio order comparisons, which are of interest in reliability theory, are then described.File in questo prodotto:
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