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Bull. Korean Math. Soc. 2014; 51(3): 701-716
Printed May 31, 2014
https://doi.org/10.4134/BKMS.2014.51.3.701
Copyright © The Korean Mathematical Society.
Kruskal-Wallis one-way analysis of variance based on linear placements
Yicheng Hong and Sungchul Lee
Yonsei University, Yonsei University
The limiting distribution for the linear placement statistics under the null hypotheses has been provided by Orban and Wolfe \cite{OW1982} and Kim \cite{K1999} when one of the sample sizes goes to infinity, and by Kim, Lee and Wang \cite{KLW2011} when the sample sizes of each group go to infinity simultaneously. In this paper we establish the generalized Kruskal-Wallis one-way analysis of variance for the linear placement statistics.
Keywords: Kruskal-Wallis one-way analysis of variance, central limit theorem, linear placement statistic
MSC numbers: Primary 60F05, 62E20, 62G20; Secondary 60E05, 60E10
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