On the Inter-Relationship between some Classes of Life Distributions

dc.contributor.author	Suresh, R.P.
dc.date.accessioned	2015-04-23T09:30:10Z
dc.date.available	2015-04-23T09:30:10Z
dc.date.issued	2003-12
dc.identifier.uri	http://hdl.handle.net/2259/460
dc.description	Calcutta Statistical Association Bulletin Vol.54, September - December 2003, Nos. 215-216	en_US
dc.description.abstract	It is well known that if F is IFR, then it is also DMRI; however, the converse is not true, in general Kupka and Leo (1989) proved that a distribution with convex decreasing mean residual life (CDMRL) function has an Increasing Failure Rate (IFR) distribution. In this paper, we show that this condition (viz, convexity of DMRL) is not necessary for F to be IFR, It is observed that contrary to monotonic classes, in the non-monotonic classes. F is BFR does not imply that F is IDMRL. In thi paper, we derive a result that given an additional condition required for a BFR distribution to be an IDMRL distribution.	en_US
dc.language.iso	en	en_US
dc.publisher	Calcutta Statistical Association	en_US
dc.subject	Reliability Theory	en_US
dc.subject	Failure Rate	en_US
dc.subject	Mean Residual Life	en_US
dc.subject	IFR	en_US
dc.subject	BFR	en_US
dc.subject	IDMRL	en_US
dc.title	On the Inter-Relationship between some Classes of Life Distributions	en_US
dc.type	Article	en_US