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ON THE RESIDUAL AND PAST LIFETIMES OF COHERENT SYSTEMS UNDER RANDOM MONITORING

Published online by Cambridge University Press:  02 March 2020

Ebrahim Amini-Seresht ,
Maryam Kelkinnama  and
Yiying Zhang Open the ORCID record for Yiying Zhang [Opens in a new window]
Ebrahim Amini-Seresht
Affiliation:
Department of Statistics, Bu-Ali Sina University, Hamedan, Iran E-mail: [email protected]
Maryam Kelkinnama
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran E-mail: [email protected]
Yiying Zhang
Affiliation:
School of Statistics and Data Science, LPMC and KLMDASR, Nankai University, Tianjin 300071, P. R. China E-mail: [email protected]
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Abstract

This paper discusses stochastic comparisons for the residual and past lifetimes of coherent systems with dependent and identically distributed (d.i.d.) components under random monitoring in terms of the hazard rate, the reversed hazard rate, and the likelihood ratio orders. Some stochastic comparisons results are also established on the residual lifetimes of coherent systems under random observation times when all of the components are alive at that time. Sufficient conditions are established in terms of the aging properties of the components and the distortion functions induced from the system structure and dependence among components lifetimes. Numerical examples are provided to illustrate the theoretical results as well.

Keywords

agingcoherent systempast lifetimeresidual lifetimestochastic orders
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 35 , Issue 3 , July 2021 , pp. 465 - 480
Copyright
© Cambridge University Press 2020

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