Journal of Applied Probability

On the signatures of ordered system lifetimes

N. Balakrishnan and William Volterman

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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

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

First available in Project Euclid: 25 March 2014

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Coherent system order statistics system signature


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.

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