Stochastic Comparisons Between Lifetimes of Reliability Systems With Exchangeable Components
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Average
Influence
Average
Popularity
Top 10%
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.
Description
Triantafyllou, Ioannis S./0000-0002-7512-5217; Eryilmaz, Serkan/0000-0002-2108-1781; Koutras, Markos/0000-0001-5160-2405
Keywords
Hazard rate ordering, Reliability systems, Samaniego's signature, Minimal and maximal signatures, Applications of renewal theory (reliability, demand theory, etc.), Samaniego's signature, Inequalities; stochastic orderings, minimal and maximal signatures, hazard rate ordering, reliability systems
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
10
Source
7th International Workshop on Applied Probability (IWAP) -- JUN 16-19, 2014 -- Antalya, TURKEY
Volume
18
Issue
4
Start Page
1081
End Page
1095
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Citations
CrossRef : 2
Scopus : 11
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Mendeley Readers : 4
SCOPUS™ Citations
12
checked on Feb 26, 2026
Web of Science™ Citations
9
checked on Feb 26, 2026
Page Views
3
checked on Feb 26, 2026
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