Abstract
Classes of life distributions based on the moment-generating-function order are investigated in this paper. It is shown firstly that the class M is closed under both convex linear combination and geometric compounding. Secondly, the class NBU mg (new better than used in the moment-generating-function order) is proved to be closed under increasing star-shaped transformations. Finally, the interplay between the stochastic comparison of the excess lifetime of a renewal process and the NBU mg interarrivals is studied.
| Original language | English |
|---|---|
| Pages (from-to) | 927-934 |
| Number of pages | 8 |
| Journal | Journal of Applied Probability |
| Volume | 41 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2004 |
Keywords
- Convex linear combination
- Convolution
- Geometric compounding
- M -class
- M-class
- NBU
- Star-shaped transform
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