Abstract
In this paper we investigate the limiting behavior of the failure rate for the convolution of two or more life distributions. In a previous paper on mixtures, Block, Mi and Savits (1993) showed that the failure rate behaves like the limiting behavior of the strongest component. We show a similar result here for convolutions. We also show by example that unlike a mixture population, the ultimate direction of monotonicity does not necessarily follow that of the strongest component.
| Original language | English |
|---|---|
| Pages (from-to) | 894-898 |
| Number of pages | 5 |
| Journal | Journal of Applied Probability |
| Volume | 52 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2015 |
Bibliographical note
Publisher Copyright:© 2015 Applied Probability Trust.
Keywords
- Convolution
- Decreasing failure rate
- Failure rate function
- Increasing failure rate
- Reliability
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Statistics, Probability and Uncertainty