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Shape and crossing properties of mean residual life functions

โœ Scribed by Leonid Bekker; Jie Mi

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
230 KB
Volume
64
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

In addition to the CDF or density function, the failure rate and mean residual life functions are the other important functions that can be used to characterize a lifetime. In the literature, much work on the properties of these quantities has been done. This paper points out and corrects some errors in the literature by giving a counterexample and new proofs. Moreover, it gives a more complete discussion on the shape of the mean residual life function when the associated failure rate function has a roller-coaster shape. It also discusses the crossing properties of two mean residual life functions in detail, when the associated failure rate functions have several crossing points.

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โœ Majid Asadi; Nader Ebrahimi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 86 KB

A direct approach to measure uncertainty in the residual life time distribution has been initiated by Ebrahimi (1996, Sankhya Ser. A 58, 48-57) and explored further by Ebrahimi and Pellerey (1995) and Ebrahimi and Kirmani (1996). In this paper, some new properties of the proposed measure in connecti