March 2014 On the signatures of ordered system lifetimes
N. Balakrishnan, William Volterman
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J. Appl. Probab. 51(1): 82-91 (March 2014). DOI: 10.1239/jap/1395771415

Abstract

The idea of the system signature is extended here to the case of ordered system lifetimes arising from a test of coherent systems with a signature. An expression is given for the computation of the ordered system signatures in terms of the usual system signature for system lifetimes. Some properties of the ordered system signatures are then established. Closed-form expressions for the ordered system signatures are obtained in some special cases, and some illustrative examples are presented.

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N. Balakrishnan. William Volterman. "On the signatures of ordered system lifetimes." J. Appl. Probab. 51 (1) 82 - 91, March 2014. https://doi.org/10.1239/jap/1395771415

Information

Published: March 2014
First available in Project Euclid: 25 March 2014

zbMATH: 1296.60271
MathSciNet: MR3189443
Digital Object Identifier: 10.1239/jap/1395771415

Subjects:
Primary: 60K10
Secondary: 62G30 , 90B25

Keywords: Coherent system , order statistics , system signature

Rights: Copyright © 2014 Applied Probability Trust

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Vol.51 • No. 1 • March 2014
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