Signature-Based Analysis of the Weighted- r -within-Consecutive- k -out-of- n: F Systems

Ioannis S. Triantafyllou
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Ioannis S. Triantafyllou: Department of Statistics & Insurance Science, University of Piraeus, 18534 Piraeus, Greece

Mathematics, 2022, vol. 10, issue 15, 1-13

Abstract: In the present paper, we deliver a reliability study of the weighted- r -consecutive- k -out-of- n : F reliability systems consisting of independent and identically distributed components. The signature vector of the structures is arithmetically determined by the aid of an appropriate Monte-Carlo simulation scheme. Several conclusions for the corresponding reliability polynomials are also drawn. An extensive numerical investigation is carried out to evaluate the performance of the weighted- r -consecutive- k -out-of- n : F reliability systems. Some stochastic signature-based comparisons among several members of the underlying family of reliability structures are also discussed.

Keywords: weighted- r -consecutive- k -out-of- n : F systems; Samaniego’s signature; order statistics; stochastic orderings; Monte-Carlo simulation techniques (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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