Classes of life distributions and renewal counting process-Reference-Cited by-同舟云学术

Classes of life distributions and renewal counting process

Published:1994-12 Issue:4 Volume:31 Page:1110-1115
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Chen Yi-Hau

Abstract

We prove that if the renewal function M(t) corresponding to a life distribution F is convex (concave) then F is NBU (NWU), and hence answer two questions posed by Shaked and Zhu (1992). Moreover, based-on the renewal function, some characterizations of the exponential distribution within certain classes of life distributions are given.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference7 articles.

1. Some results on block replacement policies and renewal theory

2. Characterization of the exponential distribution by the relevation transform

3. Bounds, Inequalities, and Monotonicity Properties for Some Specialized Renewal Processes

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