| Article ID: | iaor19972206 |
| Country: | United States |
| Volume: | 9 |
| Issue: | 4 |
| Start Page Number: | 497 |
| End Page Number: | 530 |
| Publication Date: | Dec 1996 |
| Journal: | Journal of Applied Mathematics and Stochastic Analysis |
| Authors: | Cocozza-Thivent Christiane, Kalashnikov Vladimir |
| Keywords: | markov processes |
The authors consider models typical to the area of reliability, and a failure rate function for processes describing the dynamics of these models. Various approximations of the failure rate function are proposed and their accuracies are investigated. The basic case studied in the paper is a regenerative model. Some interesting particular cases (Markov, semi-Markov, etc.) are considered. All proposed estimates are stated in a tractable analytic form.