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September, 1988 On the Stochastic Ordering of Absolute Univariate Gaussian Random Variables
Paul S. Horn
Ann. Statist. 16(3): 1327-1329 (September, 1988). DOI: 10.1214/aos/1176350964

Abstract

This paper presents necessary and sufficient conditions for the stochastic ordering of absolute univariate Gaussian random variables. This result is based on the behavior of the particular Gaussian density at zero, which is equivalent to restrictions on the mean and variance.

Citation

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Paul S. Horn. "On the Stochastic Ordering of Absolute Univariate Gaussian Random Variables." Ann. Statist. 16 (3) 1327 - 1329, September, 1988. https://doi.org/10.1214/aos/1176350964

Information

Published: September, 1988
First available in Project Euclid: 12 April 2007

zbMATH: 0649.62023
MathSciNet: MR959205
Digital Object Identifier: 10.1214/aos/1176350964

Subjects:
Primary: 62E99
Secondary: 60E05

Keywords: Folded normal , majorization , noncentral chi-square , stochastic ordering

Rights: Copyright © 1988 Institute of Mathematical Statistics

Vol.16 • No. 3 • September, 1988
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