Some Reliability Applications of the Variability Ordering

Sheldon M. Ross and Zvi Schechner
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Sheldon M. Ross: University of California, Berkeley, California
Zvi Schechner: Columbia University, New York, New York

Operations Research, 1984, vol. 32, issue 3, 679-687

Abstract: The random variable X is said to be more variable than Y if E [ f ( X )] ≥ E [ f ( Y )] for all increasing convex functions f . We prove a preservation property of this ordering under random sized sums, and then apply it to branching processes and shock models. We also give applications of this ordering to a population survival and to a Poisson shock model.

Keywords: 565 variability ordering; 723 accumulated and Poisson shock (search for similar items in EconPapers)
Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:32:y:1984:i:3:p:679-687

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