Comparison results for inactivity times of k-out-of-n and general coherent systems with dependent components

Jorge Navarro (), Maria Longobardi () and Franco Pellerey ()
Additional contact information
Jorge Navarro: Universidad de Murcia
Maria Longobardi: Università di Napoli FEDERICO II
Franco Pellerey: Politecnico di Torino

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2017, vol. 26, issue 4, No 11, 822-846

Abstract: Abstract Coherent systems, i.e., multicomponent systems where every component monotonically affects the working state or failure of the whole system, are among the main objects of study in reliability analysis. Consider a coherent system with possibly dependent components having lifetime T, and assume we know that it failed before a given time $$t>0$$ t > 0 . Its inactivity time $$t-T$$ t - T can be evaluated under different conditional events. In fact, one might just know that the system has failed and then consider the inactivity time $$(t-T|T\le t)$$ ( t - T | T ≤ t ) , or one may also know which ones of the components have failed before time t, and then consider the corresponding system’s inactivity time under this condition. For all these cases, we obtain a representation of the reliability function of system inactivity time based on the recently defined notion of distortion functions. Making use of these representations, new stochastic comparison results for inactivity times of systems under the different conditional events are provided. These results can also be applied to order statistics which can be seen as particular cases of coherent systems (k-out-of-n systems, i.e., systems which work when at least k of their n components work).

Keywords: Reliability; Inactivity time; Coherent systems; Stochastic orders; Distortion functions; Copula; Primary 62K10; 60E15; Secondary 90B25 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (14)

Downloads: (external link)
http://link.springer.com/10.1007/s11749-017-0535-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:testjl:v:26:y:2017:i:4:d:10.1007_s11749-017-0535-5

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/11749/PS2

DOI: 10.1007/s11749-017-0535-5

Access Statistics for this article

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research is currently edited by Alfonso Gordaliza and Ana F. Militino

More articles in TEST: An Official Journal of the Spanish Society of Statistics and Operations Research from Springer, Sociedad de Estadística e Investigación Operativa
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().