Life Behavior of -Shock Models for Uniformly Distributed Interarrival Times
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Abstract
In this paper we study the life behavior of -shock models when the shocks occur according to a renewal process whose interarrival distribution is uniform. In particular, we obtain the first two moments of the corresponding lifetime random variables for general interarrival distribution, and survival functions when the interarrival distribution is uniform.
Description
KAVLAK, KONUL BAYRAMOGLU/0000-0003-2756-6920; Bayramoglu Kavlak, Konul/0000-0003-2756-6920; Eryilmaz, Serkan/0000-0002-2108-1781
Keywords
delta-Shock model, Interarrival distribution, Survival function, Uniform distribution, δ-Shock Model, uniform distribution, \(\delta\)-shock model, Reliability and life testing, Applications of renewal theory (reliability, demand theory, etc.), survival function, interarrival distribution
Fields of Science
0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
46
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Volume
55
Issue
3
Start Page
841
End Page
852
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CrossRef : 9
Scopus : 55
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Mendeley Readers : 3
SCOPUS™ Citations
55
checked on Jun 16, 2026
Web of Science™ Citations
51
checked on Jun 16, 2026
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