| Article ID: | iaor20011477 |
| Country: | United States |
| Volume: | 14 |
| Issue: | 3 |
| Start Page Number: | 353 |
| End Page Number: | 373 |
| Publication Date: | Jan 2000 |
| Journal: | Probability in the Engineering and Informational Sciences |
| Authors: | Pellerey F., Shaked M., Zinn J. |
In this article, we identify conditions under which the epoch times and the inter-epoch intervals of a nonhomogeneous Poisson process have logconcave densities. The results are extended to relevation counting processes. We also study discrete-time counting processes and find conditions under which the epoch times and the inter-epoch intervals of these discrete-time processes have logconcave discrete probability densities. The results are interpreted in terms of minimal repair and record values. Several examples illustrate the theory.