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

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.

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Year of publication:	2005
Authors:	Anis, M. Z. ; Mitra, Murari
Published in:	Stochastics and Quality Control. - Walter de Gruyter GmbH & Co. KG, ISSN 2367-2404, ZDB-ID 2905267-1. - Vol. 20.2005, 2, p. 287-290
Publisher:	Walter de Gruyter GmbH & Co. KG
Subject:	Totally positive functions \| Survival function \| Convex functions \| Mathematical induction \| Homogeneous Poisson process

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Type of publication:	Article
Type of publication (narrower categories):	research-article
Language:	English
Other identifiers:	10.1515/EQC.2005.287 [DOI]
Source:	Other ZBW resources

Persistent link: https://www.econbiz.de/10014590794