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Some new results on stochastic comparisons of coherent systems using signatures

Published online by Cambridge University Press:  04 May 2020

Ebrahim Amini-Seresht
Affiliation:
Bu-Ali Sina University
Baha-Eldin Khaledi
Affiliation:
Florida International University
Subhash Kochar
Affiliation:
Portland State University
Corresponding

Abstract

We consider coherent systems with independent and identically distributed components. While it is clear that the system’s life will be stochastically larger when the components are replaced with stochastically better components, we show that, in general, similar results may not hold for hazard rate, reverse hazard rate, and likelihood ratio orderings. We find sufficient conditions on the signature vector for these results to hold. These results are combined with other well-known results in the literature to get more general results for comparing two systems of the same size with different signature vectors and possibly with different independent and identically distributed component lifetimes. Some numerical examples are also provided to illustrate the theoretical results.

Type
Research Papers
Copyright
© Applied Probability Trust 2020

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