Generalized ageing classes in terms of Laplace transforms. (English) Zbl 0980.60110
The author presents characterizations of the general aging classes \(s\)-IFR, \(s\)-IFRA, \(s\)-NBU, and their duals, in terms of Laplace transforms. Most of the known Laplace transform characterizations of aging classes follow as particular cases.
Reviewer: Moshe Shaked (Tucson)
MSC:
60K10 | Applications of renewal theory (reliability, demand theory, etc.) |
62E10 | Characterization and structure theory of statistical distributions |
62N05 | Reliability and life testing |