This article is cited in 1 paper

On strongly unimodal infinitely divisible distributions of class CME

M. Yamazato


Abstract: A class of CME distributions on $\mathbf{R}$ is defined as an extension of the class on the nonnegative half line. This extension arises naturally in discussing sojourn time distributions of birth-and-death processes. The necessary and sufficient condition for CME distribution to be strongly unimodal is given.

Keywords: CME distributions, log concave, strongly unimodal, sojourn time distribution.

Received: 17.03.1992

 English version: Theory of Probability and its Applications, 1995, 40:3, 518–532

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