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When Is a Renewal Process Convexly Parameterized in Its Mean Parameterization?
Published online by Cambridge University Press: 27 July 2009
Abstract
The convex (concave) parameterization of a generalized renewal process is considered in this paper. It is shown that if the interrenewal times have log concave distributions or have log concave survival functions (i.e., an increasing failure rate distribution), then the renewal process is convexly (concavely) parameterized in its mean parameterization.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 11 , Issue 1 , January 1997 , pp. 43 - 48
- Copyright
- Copyright © Cambridge University Press 1997