Residual Lifetimes of ?-Out Systems With Exchangeable Components

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Date

2015

Authors

Bairamov I.

Journal Title

Journal ISSN

Volume Title

Publisher

Iranian Statistical Society

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Abstract

We consider a (n - ? + 1)-out-of-n system with exchangeable lifetimes of the components. The paper investigates the stochastic ordering properties of the residual lifetime of the system under condition that, at time t, at least (n - r + 1) components are alive. Some results are then extended to the case where the system has a coherent structure with exchangeable components.

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Keywords

Exchangeable random variables, Multivariate life distributions, Multivariate stochastic order, Multivariate survival function, Signatures, ?-out-of-n system

Fields of Science

Citation

WoS Q

Q4

Scopus Q

Q4

Source

Journal of the Iranian Statistical Society

Volume

14

Issue

1

Start Page

63

End Page

87
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