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Remarks on the Failure Rate Characterizations

Name: Remarks on the Failure Rate Characterizations
Creator: Hiroshi Onose
Keywords: Reliability and life testing, DFR, Characterization and structure theory of statistical distributions, Riccati type differential equation, IFR, oscillation, 0101 mathematics, 01 natural sciences, failure rate characterizations, hazard function

Remarks on the failure rate characterizations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986 English Publisher:Department of Mathematics, Faculty of ScienceJournal:Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, volume 18, pages 57-60 (issn: 0579-3068, eissn: 1883-4345,

Authors: Hiroshi Onose;

doi: 10.5036/bfsiu1968.18.57

Remarks on the Failure Rate Characterizations

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Abstract

The failure rate, or the hazard function is defined as \(r(t)=f(t)/(1- F(t))\), \(0\leq F(t)0\) for all \(t>0\), and \(\int^{\infty}_{0}f(t)dt=1\). We also assume that f(t) is continuous and twice differentiable on (0,\(\infty)\).

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Ibaraki University
Japan

Keywords

Reliability and life testing, DFR, Characterization and structure theory of statistical distributions, Riccati type differential equation, IFR, oscillation, failure rate characterizations, hazard function

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