Shape and crossing properties of mean residual life functions

Leonid Bekker and Jie Mi

Statistics & Probability Letters, 2003, vol. 64, issue 3, 225-234

Abstract: 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.

Keywords: Failure; rate; Mean; residual; life; Roller-coaster; shape; Touching; point; Crossing; point (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (4)

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