Title

When Is a Renewal Process Convexly Parameterized in Its Mean Parameterization?

Document Type

Article

Subject Area(s)

statistics

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.

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