A note on the exponential approximations of IFR distributions

In this note we investigate proximity between exponential and IFR (increasing failure rate) distributions. The result is: if F[epsilon]IFR with the first and second moment [mu] and [mu]2, respectively, then supt[greater-or-equal, slanted]0(t)-exp(-t/[mu])[less-than-or-equals, slant](1-ex where =1-F, [rho]=1-[mu]2/(2[mu]2). The bound improves results of Solovyev (1983), Brown (1987), Cheng and He (1988).

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Year of publication:	1991
Authors:	Cheng, Kan ; He, Zongfu
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 12.1991, 4, p. 341-344
Publisher:	Elsevier
Subject:	Exponential distribution IFR

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005254605