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On inactivity times of failed components of coherent system under double monitoring

Published online by Cambridge University Press:  11 May 2021

Zhouxia Guo Open the ORCID record for Zhouxia Guo [Opens in a new window] ,
Jiandong Zhang Open the ORCID record for Jiandong Zhang [Opens in a new window]  and
Rongfang Yan Open the ORCID record for Rongfang Yan [Opens in a new window]
Zhouxia Guo
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: guozxmath@163.com
Jiandong Zhang
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: jiandong.zhang@hotmail.com
Rongfang Yan*
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: yanrf@nwnu.edu.cn
*
*Corresponding author.
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Abstract

This article discusses the stochastic behavior and reliability properties for the inactivity times of failed components in coherent systems under double monitoring. A mixture representation of reliability function is obtained for the inactivity times of failed components, and some stochastic comparison results are also established. Furthermore, some sufficient conditions are developed in terms of the aging properties of the inactivity times of failed components. Finally, some numerical examples are presented to illustrate the theoretical results.

Keywords

Coherent systemDouble monitoringInactivity timeSignature vectorStochastic orders
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 3 , July 2022 , pp. 923 - 940
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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