Stochastic Comparisons Between Lifetimes of Reliability Systems with Exchangeable Components

Markos V. Koutras (), Ioannis S. Triantafyllou () and Serkan Eryilmaz ()
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Markos V. Koutras: University of Piraeus
Ioannis S. Triantafyllou: University of Piraeus
Serkan Eryilmaz: Atilim University

Methodology and Computing in Applied Probability, 2016, vol. 18, issue 4, 1081-1095

Abstract: Abstract In this article we present several results pertaining to the stochastic comparison of the lifetimes of two reliability systems with exchangeable components. More specifically, we provide signature-based sufficient and necessary conditions for establishing hazard rate and reverse hazard rate orderings. Finally, focusing on the class of consecutive-type systems, we illustrate how the general results can be exploited to deduce several stochastic orderings among members of this class.

Keywords: Hazard rate ordering; Reliability systems; Samaniego’s signature; Minimal and maximal signatures; Primary 60E15; Secondary 60K10 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s11009-014-9433-4

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