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Showing papers by "Antonio Di Crescenzo published in 1999"


Journal ArticleDOI
TL;DR: In this paper, the authors give a probabilistic analogue of the mean value theorem, which is shown to be useful in various contexts of reliability theory, and provide various applications to evaluate the mean total profits of devices having random lifetimes.
Abstract: In a similar spirit to the probabilistic generalization of Taylor's theorem by Massey and Whitt [13], we give a probabilistic analogue of the mean value theorem. The latter is shown to be useful in various contexts of reliability theory. In particular, we provide various applications to the evaluation of the mean total profits of devices having random lifetimes, to the mean total-time-on-test at an arbitrary order statistic of a random sample of lifetimes, and to the mean maintenance cost for the second room of queueing systems in steady state characterized by two serial waiting rooms.

44 citations


Journal ArticleDOI
TL;DR: In this article, the dual usual stochastic ordering and dual increasing linear ordering are introduced as the dual of two well-known aging notions in order to provide characterization of various ageing notions useful to describe ageing properties of devices with unknown age.
Abstract: Dual usual stochastic ordering and dual increasing linear ordering are introduced as the dual of two well-known stochastic orderings in order to provide characterization of various ageing notions useful to describe ageing properties of devices with unknown age. The “harmonic used better than aged in expectation” ageing notion is then given, and various of its properties as well as an application to Poisson shock models are discussed

9 citations