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September, 1984 Asymptotic Normality of a Class of Nonlinear Rank Tests for Independence
Shingo Shirahata, Kazumasa Wakimoto
Ann. Statist. 12(3): 1124-1129 (September, 1984). DOI: 10.1214/aos/1176346730

Abstract

Asymptotic normality of a class of nonlinear rank statistics to test the null hypothesis of total independence of an $m$-variate population is proved. The rank statistics are generated from $2m$-variate square integrable functions such that they are symmetric and nondegenerate. Some results under contiguous alternatives are also given.

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Shingo Shirahata. Kazumasa Wakimoto. "Asymptotic Normality of a Class of Nonlinear Rank Tests for Independence." Ann. Statist. 12 (3) 1124 - 1129, September, 1984. https://doi.org/10.1214/aos/1176346730

Information

Published: September, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0539.62024
MathSciNet: MR751301
Digital Object Identifier: 10.1214/aos/1176346730

Subjects:
Primary: 62E20
Secondary: 62G10

Rights: Copyright © 1984 Institute of Mathematical Statistics

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Vol.12 • No. 3 • September, 1984
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