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ON DEGRADATION-BASED REMAINING LIFETIME

Published online by Cambridge University Press:  16 March 2021

Maxim Finkelstein Open the ORCID record for Maxim Finkelstein [Opens in a new window]  and
Ji Hwan Cha Open the ORCID record for Ji Hwan Cha [Opens in a new window]
Maxim Finkelstein
Affiliation:
Department of Mathematical Statistics, University of the Free State, Bloemfontein, South Africa
Ji Hwan Cha
Affiliation:
Department of Statistics, Ewha Womans University, Seoul 120-750, Republic of Korea E-mail: jhcha@ewha.ac.kr
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Abstract

The new reliability notion describing the remaining lifetime is introduced for items with monotonically increasing degradation. We consider the remaining lifetime of an item (to be called, the predicted remaining lifetime) after its degradation reaches the predetermined level. The prediction is executed at inception of an item into operation. For the nonhomogeneous stochastic processes of degradation, this characteristic depends on the random first passage time of a degradation process. Some properties of the predicted remaining lifetime and the corresponding stochastic comparisons are discussed for items from homogeneous and heterogeneous populations, and a generalization to the case of the n-component coherent system is outlined. The problem of regime switching is described, and the new notion of the corresponding virtual age after the switching is proposed.

Keywords

first passage timegamma processstochastic comparisonsvirtual age
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 3 , July 2022 , pp. 812 - 823
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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