Journal of Applied Probability

On the conditional residual life and inactivity time of coherent systems

A. Parvardeh and N. Balakrishnan

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Abstract

In this paper we derive mixture representations for the reliability functions of the conditional residual life and inactivity time of a coherent system with n independent and identically distributed components. Based on these mixture representations we carry out stochastic comparisons on the conditional residual life, and the inactivity time of two coherent systems with independent and identical components.

Article information

Source
J. Appl. Probab., Volume 51, Number 4 (2014), 990-998.

Dates
First available in Project Euclid: 20 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.jap/1421763323

Mathematical Reviews number (MathSciNet)
MR3301284

Zentralblatt MATH identifier
1308.90057

Subjects
Primary: 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05]
Secondary: 60K10: Applications (reliability, demand theory, etc.)

Keywords
Residual lifetime signature inactivity time hazard rate order likelihood ratio order reversed hazard rate order

Citation

Parvardeh, A.; Balakrishnan, N. On the conditional residual life and inactivity time of coherent systems. J. Appl. Probab. 51 (2014), no. 4, 990--998. https://projecteuclid.org/euclid.jap/1421763323


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