Abstract
In this article it is shown that a bivariate random variable has a constant failure rate, and mixture geometric marginals, if and only if, it has the loss of memory property and the discrete Freund distribution. This characterization is achieved by extending a key lemma in this area. The mixture geometric can be collapsed to geometric marginals, thus validating the results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 759-765 |
| Number of pages | 7 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 35 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2006 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
Keywords
- Bivariate geometric distribution
- Characterization
- Total failure rate