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- Publisher
- Wiley
- Copyright
- Copyright © 1999 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 1524-1904
- eISSN
- 1526-4025
- DOI
- 10.1002/(SICI)1526-4025(199904/06)15:2<103::AID-ASMB369>3.0.CO;2-C
- Publisher site
- See Article on Publisher Site
Abstract
Bondesson's functions in reliability theory are shown to be related to a recursive sequence of probability distributions. These are the ‘higher‐order’ versions of the mean remaining lifetime in an equilibrium renewal process. Based on these functions, classes of distribution functions can be defined. This paper will investigate these classes and place Bondesson's work in the content of the other work done in reliability theory. Connections are made with the decreasing variance residual lifetime class and stochastic ordering. Copyright © 1999 John Wiley & Sons, Ltd.
Journal
Applied Stochastic Models in Business and Industry – Wiley
Published: Apr 1, 1999
Keywords: ; ; ; ;