Preservation properties of stochastic orders by transformation to Harris family

• Autorzy: Abbasi S. , Alamatsaz M. H.

Identyfikatory

DOI

10.19195/0208-4147.38.2.10

• Języki publikacji: EN

Abstrakty

EN

Stochastic comparisons of lifetime characteristics of reliability systems and their components are of common use in lifetime analysis. In this paper, using Harris family distributions, we compare lifetimes of two series systems with random number of components, with respect to several types of stochastic orders. Our results happen to enfold several previous findings in this connection. We shall also show that several stochastic orders and ageing characteristics, such as IHRA, DHRA, NBU, and NWU, are inherited by transformation to Harris family. Finally, some refinements are made concerning related existing results in the literature.

Słowa kluczowe

EN

ageing intensity order; Marshall-Olkin distribution; proportional stochastic order; shifted stochastic order; shifted proportional stochastic order; usual stochastic order

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2018
• Tom: Vol. 38, Fasc. 2
• Strony: 441--458
• Opis fizyczny: Bibliogr. 32 poz., wykr.

Twórcy

autor

Abbasi S.

• Department of Statistics, University of Isfahan, Isfahan, Iran

autor

Alamatsaz M. H.

• Department of Statistics, University of Isfahan, Isfahan, Iran

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).