Abstract
In this paper we introduce a variation on Glaser's method for determining the shape of the failure rate function of a mixture. It has often been seen that the shape of the failure rate depends on the mixing parameter q. Our method provides an explanation for this phenomenon. We then illustrate our technique with the mixture of an exponential and a gamma density for all possible cases.
Original language | English |
---|---|
Pages (from-to) | 1144-1155 |
Number of pages | 12 |
Journal | Journal of Applied Probability |
Volume | 49 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2012 |
Keywords
- Bathtub failure rate
- Failure rate function
- Reliability
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Statistics, Probability and Uncertainty