Characterizations of the hazard rate order and IFR aging notion

The Laplace transform of residual lives order has been recently defined and studied in the literature to compare random lifetimes. Here, we prove that such stochastic order is equivalent to the well-known hazard rate order. As consequences, we get new characterizations of the hazard rate order and increasing in failure rate (IFR) aging notion, in terms also of the mean residual life order and decreasing in mean residual life (DMRL) aging notion.

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Year of publication:	2004
Authors:	Belzunce, Félix ; Gao, Xiaoli ; Hu, Taizhong ; Pellerey, Franco
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 70.2004, 4, p. 235-242
Publisher:	Elsevier
Keywords:	Laplace transform order Laplace transform order of residual lives Hazard rate order Mean residual life order Aging notions IFR DRLLt DMRL

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

Persistent link: https://www.econbiz.de/10005223034