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September 2013 Stochastic comparisons of residual lifetimes and inactivity times of coherent systems
Nitin Gupta
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J. Appl. Probab. 50(3): 848-860 (September 2013). DOI: 10.1239/jap/1378401240

Abstract

Under the assumption of independent and identically distributed (i.i.d.) components, the problem of the stochastic comparison of a coherent system having used components and a used coherent system has been considered. Necessary and sufficient conditions on structure functions have been provided for the stochastic comparison of a coherent system having used/inactive i.i.d. components and a used/inactive coherent system. As a consequence, for r-out-of-n systems, it has been shown that systems having used i.i.d. components stochastically dominate used systems in the likelihood ratio ordering.

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Nitin Gupta. "Stochastic comparisons of residual lifetimes and inactivity times of coherent systems." J. Appl. Probab. 50 (3) 848 - 860, September 2013. https://doi.org/10.1239/jap/1378401240

Information

Published: September 2013
First available in Project Euclid: 5 September 2013

zbMATH: 1273.90062
MathSciNet: MR3102518
Digital Object Identifier: 10.1239/jap/1378401240

Subjects:
Primary: 90B25
Secondary: 60E15

Rights: Copyright © 2013 Applied Probability Trust

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Vol.50 • No. 3 • September 2013
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