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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/170

Title: On the Inter-Relationship between some Classes of Life Distributions
Authors: Suresh, R.P.
Keywords: Reliability Theory
Failure Rate
Mean Residual Life
IFR
BFR
IDMRL
Issue Date: Dec-2003
Publisher: Calcutta Statistical Association
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.
Description: Calcutta Statistical Association Bulletin Vol.54, September - December 2003, Nos. 215-216
URI: http://hdl.handle.net/123456789/170
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