An Alternative Simple Proof of a Result Useful in Reliability Shock Models

Anis M. Z. and Mitra Murari
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Anis M. Z.: SQC & OR Unit, Indian Statistical Institute, 203, B. T. Road, Calcutta - 700 108, India
Mitra Murari: Dept. of Mathematics, Bengal Engineering & Science College, Shibpur, Howrah, India

Stochastics and Quality Control, 2005, vol. 20, issue 2, 287-290

Abstract: In this paper, we present a simple proof of a result, which has useful applications in the context of shock models that are important in reliability theory. Though the result can be easily proved using properties of totally positive functions, we introduce a new idea which enables us to provide a proof that utilizes only elementary techniques of real variable calculus.

Keywords: Totally positive functions; Survival function; Convex functions; Mathematical induction; Homogeneous Poisson process (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1515/EQC.2005.287

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