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

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0101 mathematics, 01 natural sciences

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46

Volume

55

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3

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841

End Page

852

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Scopus : 55

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55

checked on Jun 16, 2026

Web of Science™ Citations

51

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