| Article ID: | iaor19981003 |
| Country: | United Kingdom |
| Volume: | 34 |
| Issue: | 2 |
| Start Page Number: | 395 |
| End Page Number: | 403 |
| Publication Date: | Jun 1997 |
| Journal: | Journal of Applied Probability |
| Authors: | Kebir Y. |
| Keywords: | statistics: distributions |
Vinogradov used the Laplace transform to characterize the IFR class of life distributions and later Block and Savits extended the characterization to the main reliability classes. Here we use the same transform again to characterize the continuous time renewal equation and some properties of its solution.