Signature Conditions for Distributional Properties of System Lifetimes if Component Lifetimes are I.I.D. Exponential

Tomasz Rychlik; Magdalena Szymkowiak

doi:10.1109/TR.2021.3119463

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Title

Signature Conditions for Distributional Properties of System Lifetimes if Component Lifetimes are I.I.D. Exponential

Authors

Tomasz Rychlik
Magdalena Szymkowiak (WARiE) ^{[ 1 ][ 2.2 ][ P ]}

^{[ 1 ]} Instytut Automatyki i Robotyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[2.2] Automation, electronics, electrical engineering and space technology

Year of publication

2022

Published in

IEEE Transactions on Reliability

Journal year: 2022 | Journal volume: vol. 71 | Journal number: no. 2

Article type

scientific article

Publication language

english

Abstract

EN In this article, we consider coherent and mixed systems built of components with independent identically exponentially distributed lifetimes. We establish various sufficient and necessary conditions on the system signatures for asserting strong unimodality of the system lifetime as well as the monotonicity of its failure rate and mean residual life. Our investigations show that the precise description of the conditions characterizing the above distributional properties of the system lifetimes in the classic exponential model is a challenging task.

Date of online publication

31.12.2021

Pages (from - to)

590 - 602

DOI

10.1109/TR.2021.3119463

URL

https://ieeexplore.ieee.org/document/9667090

Ministry points / journal

140

Impact Factor

5,9

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