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January, 1981 Generalized Association, with Applications in Multivariate Statistics
Abdul-Hadi N. Ahmed, Ramon Leon, Frank Proschan
Ann. Statist. 9(1): 168-176 (January, 1981). DOI: 10.1214/aos/1176345343

Abstract

Association of random variables [Ann. Math. Statist. 38 1466-1474] is generalized by considering increasing functions on certain partially ordered spaces. Generalized association enjoys many of the basic properties possessed by association. An essential connection links the two notions. Generalized association is inherited under certain mixing processes. Applications of this result follow for absolute value ordering, unimodal ordering, and linear ordering of the real numbers.

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Abdul-Hadi N. Ahmed. Ramon Leon. Frank Proschan. "Generalized Association, with Applications in Multivariate Statistics." Ann. Statist. 9 (1) 168 - 176, January, 1981. https://doi.org/10.1214/aos/1176345343

Information

Published: January, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0502.62056
MathSciNet: MR600543
Digital Object Identifier: 10.1214/aos/1176345343

Subjects:
Primary: 62H99

Keywords: absolute value , Analysis of variance , association of random variables , generalization of association , mixture of distributions , moving set inequalities , multiple decision problems , multivariate normal , partial orderning , Sidak inequalities , simultaneous comparisons , Stochastic comparison , Symmetric , unimodal

Rights: Copyright © 1981 Institute of Mathematical Statistics

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Vol.9 • No. 1 • January, 1981
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