|
DSpace at Indian Institute of Management Kozhikode >
Quantitative Methods >
Journal Articles >
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 |
| Appears in Collections: | Journal Articles
|
Files in This Item:
| File |
Description |
Size | Format |
|---|
| Life Distributions.pdf | | 305Kb | Adobe PDF | View/Open |
|
All items in DSpace are protected by copyright, with all rights reserved.
|
