Stochastic ordering of medians in exchangeable trivariate normal vectors

Stochastic ordering of medians in exchangeable trivariate normal vectors In this paper, we establish the stochastic ordering of median from an exchangeable trivariate normal vector based on the strength of the correlation coefficient. Specifically, by considering two exchangeable trivariate normal vectors with different correlation coefficients, we show that the absolute value of the median in the vector with smaller correlation coefficient is stochastically smaller than the absolute value of the median in the vector with larger correlation coefficient. We prove this result by utilizing skew-normal distributions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Stochastic ordering of medians in exchangeable trivariate normal vectors

, Volume 31 (2) – Jun 5, 2016
9 pages

/lp/springer-journals/stochastic-ordering-of-medians-in-exchangeable-trivariate-normal-k0yQyJF2xF
Publisher
Springer Journals
Copyright © 2016 by Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-016-3344-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we establish the stochastic ordering of median from an exchangeable trivariate normal vector based on the strength of the correlation coefficient. Specifically, by considering two exchangeable trivariate normal vectors with different correlation coefficients, we show that the absolute value of the median in the vector with smaller correlation coefficient is stochastically smaller than the absolute value of the median in the vector with larger correlation coefficient. We prove this result by utilizing skew-normal distributions.

Journal

Applied Mathematics-A Journal of Chinese UniversitiesSpringer Journals

Published: Jun 5, 2016

References

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