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On the behavior of the failure rate and reversed failure rate in engineering systems

Part of: Survival analysis and censored data Operations research and management science

Published online by Cambridge University Press:  04 September 2020

Mahdi Tavangar Open the ORCID record for Mahdi Tavangar [Opens in a new window]
Mahdi Tavangar*
Affiliation:
University of Isfahan
*
*Postal address: Department of Statistics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan81746-73441, Iran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), PO Box 19395-5746, Tehran, Iran. Email: m.tavangar@sci.ui.ac.ir
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Abstract

In this paper the behaviour of the failure rate and reversed failure rate of an n-component coherent system is studied, where it is assumed that the lifetimes of the components are independent and have a common cumulative distribution function F. Sufficient conditions are provided under which the system failure rate is increasing and the corresponding reversed failure rate is decreasing. We also study the stochastic and ageing properties of doubly truncated random variables for coherent systems.

Keywords

Doubly truncated mean functionageing conceptsreliabilitystochastic orderingorder statistics

MSC classification

Primary: 62N05: Reliability and life testing
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Research Papers
Information
Journal of Applied Probability , Volume 57 , Issue 3 , September 2020 , pp. 899 - 910
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Copyright
© Applied Probability Trust 2020

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