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Properties of classes of life distribution based on the conditional variance

Lookup NU author(s): Dr Jordan Stoyanov, Mohammed Al-Sadi

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Abstract

We consider two classes of life distribution, VD and V I, the members of which are defined in terms of the conditional variance σ2(t) of the remaining lifetime of a system: a life distribution F belongs to VD if σF2(t) is a decreasing function and to VI if σF2(t) is increasing. We study closure properties of these classes under relevant reliability operations such as mixing, convolution and formation of coherent systems. We show, for example, that the class VD is not closed under convolution or mixing, and that the class VI is not closed under formation of coherent systems. © Applied Probability Trust 2004.


Publication metadata

Author(s): Stoyanov J, Al-Sadi MHM

Publication type: Article

Publication status: Published

Journal: Journal of Applied Probability

Year: 2004

Volume: 41

Issue: 4

Pages: 953-960

ISSN (print): 0021-9002

ISSN (electronic): 1475-6072

Publisher: Applied Probability Trust

URL: http://dx.doi.org/10.1239/jap/1101840542

DOI: 10.1239/jap/1101840542


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