Journal of Applied Probability
- J. Appl. Probab.
- Volume 48, Number 3 (2011), 843-855.
Signatures of coherent systems built with separate modules
The signature is an important structural characteristic of a coherent system. Its computation, however, is often rather involved and complex. We analyze several cases where this complexity can be considerably reduced. These are the cases when a `large' coherent system is obtained as a series, parallel, or recurrent structure built from `small' modules with known signature. Corresponding formulae can be obtained in terms of cumulative notions of signatures. An algebraic closure property of families of homogeneous polynomials plays a substantial role in our derivations.
J. Appl. Probab., Volume 48, Number 3 (2011), 843-855.
First available in Project Euclid: 23 September 2011
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Gertsbakh, Ilya; Shpungin, Yoseph; Spizzichino, Fabio. Signatures of coherent systems built with separate modules. J. Appl. Probab. 48 (2011), no. 3, 843--855. doi:10.1239/jap/1316796919. https://projecteuclid.org/euclid.jap/1316796919