Signature-based approach for stress-strength systems

Zohreh Pakdaman (), Jafar Ahmadi () and Mahdi Doostparast ()
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Zohreh Pakdaman: Ferdowsi University of Mashhad
Jafar Ahmadi: Ferdowsi University of Mashhad
Mahdi Doostparast: Ferdowsi University of Mashhad

Statistical Papers, 2019, vol. 60, issue 5, No 10, 1647 pages

Abstract: Abstract This paper deals with the stress-strength system reliability based on signatures. By using signature-based properties of strength systems, the performance of the stress-strength reliability is assessed. It is shown that the survival function of the remaining strength of a system can be expressed as a mixture of the survival functions of the remaining strengths of their components and for systems consisting of exponential components, it is derived explicitly. The optimal system configuration in terms of the signature has been determined under an exponential stress-strength model.

Keywords: Stress-strength model; Mixed systems; Signature vector; Stochastic orders; Remaining strength system; Primary 62N05; Secondary 62F10 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00362-017-0889-5

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