Journal of Applied Probability

On the conditional residual life and inactivity time of coherent systems

A. Parvardeh and N. Balakrishnan

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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

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

First available in Project Euclid: 20 January 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

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


Parvardeh, A.; Balakrishnan, N. On the conditional residual life and inactivity time of coherent systems. J. Appl. Probab. 51 (2014), no. 4, 990--998.

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