Journal of Applied Probability

On the signatures of ordered system lifetimes

N. Balakrishnan and William Volterman

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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.

Article information

Source
J. Appl. Probab., Volume 51, Number 1 (2014), 82-91.

Dates
First available in Project Euclid: 25 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jap/1395771415

Digital Object Identifier
doi:10.1239/jap/1395771415

Mathematical Reviews number (MathSciNet)
MR3189443

Zentralblatt MATH identifier
1296.60271

Subjects
Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05] 62G30: Order statistics; empirical distribution functions

Keywords
Coherent system order statistics system signature

Citation

Balakrishnan, N.; Volterman, William. On the signatures of ordered system lifetimes. J. Appl. Probab. 51 (2014), no. 1, 82--91. doi:10.1239/jap/1395771415. https://projecteuclid.org/euclid.jap/1395771415


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