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Preservation of certain classes of life distributions under Poisson shock models

Part of: Special processes Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Enrico Fagiuoli  and
Franco Pellerey
Enrico Fagiuoli*
Affiliation:
University of Milano
Franco Pellerey*
Affiliation:
University of Milano
*
∗ Postal address of both authors: Department of Mathematics, Via Cicognara 7, 20129 Milano, Italy.
∗ Postal address of both authors: Department of Mathematics, Via Cicognara 7, 20129 Milano, Italy.
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Abstract

Recently defined classes of life distributions are considered, and some relationships among them are proposed. The life distribution H of a device subject to shocks occurring randomly according to a Poisson process is also considered, and sufficient conditions for H to belong to these classes are discussed.

Keywords

EQUILIBRIUM DISTRIBUTIONSPOISSON SHOCK MODELS-IFRS-IFRAS-NBUS-NBUFRS-NBAFRNBU(2)NBUC

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 60E05: Distributions
Type
Research Papers
Information
Journal of Applied Probability , Volume 31 , Issue 2 , June 1994 , pp. 458 - 465
Copyright
Copyright © Applied Probability Trust 1994 

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