STOCHASTIC EQUIVALENCE OF CONVEX ORDERED DISTRIBUTIONS AND APPLICATIONS

Author:

Bhattacharjee M. C.,Bhattacharya R. N.

Abstract

We consider sufficient conditions for stochastic equivalence of convex ordered random variables. Our main results apply to all convex ordered distributions on the real line and improve on a recent result of Huang and Lin [8] for equality in distribution of convex ordered survival times. Illustrative applications include testing for equality in distribution with convex ordered alternatives and demonstrating several earlier results on stochastic equivalence as special cases.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Further properties of fractional stochastic dominance;Journal of Applied Probability;2022-03

2. Tests for Stochastic Orders and Mean Order Statistics;Communications in Statistics - Theory and Methods;2012-04-15

3. Comparing tail variabilities of risks by means of the excess wealth order;Insurance: Mathematics and Economics;2009-12

4. Characterizations of classes of risk measures by dispersive orders;Insurance: Mathematics and Economics;2008-06

5. Characterization of stochastic orders by L-functionals;Statistical Papers;2007-04

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