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Weak Convergence of U-empirical Processes for Two Sample Case with Applications

Park, Hyo-Il (Department of Statistics, Chong-ju University)
Na, Jong-Hwa (Department of Statistics, Chungbuk National University)

Publication Information

Journal of the Korean Statistical Society / v.31, no.1, 2002 , pp. 109-120 More about this Journal

Abstract

In this paper, we show the weak convergence of U-empirical processes for two sample problem. We use the result to show the asymptotic normality for the generalized dodges-Lehmann estimates with the Bahadur representation for quantifies of U-empirical distributions. Also we consider the asymptotic normality for the test statistics in a simple way.

Keywords

Bahadur representation for quantile; kernel; location translation parameter; U-empirical distribution; U-empirical process; weak convergence;

Citations & Related Records

Reference

1	/ [ Serfling, R. J. ] / Approximation Theorems of Mathematical Statistics
2	Generalized order statistics, Bahadur representations and sequential nonparametric fixed-width confidence intervals / [ Choudhury, J.; Serfling, R. J. ] / Journal of Statistical Planning and Inference DOI ScienceOn
3	Consistency and unbiasedness of certain nonparametric tests / [ Lehmann, E. L. ] / The Annals of Mathematical Statistics DOI ScienceOn
4	The Bahadur-Kiefer representation for U-quantiles / [ Arcones, M. A. ] / The Annals of Statistics DOI ScienceOn
5	Generalized L-,M-and R-statistics / [ Serfling, R. J. ] / The Annals of Statistics
6	Convergence of a class of empirical distribution functions of dependent random variables / [ Silverman, B. W. ] / The Annals of Probability DOI ScienceOn
7	/ [ Randles, R. H.; Wolfe, D. A. ] / Introduction to the Theory of Nonparametric Statistics
8	Limit theorems for U-processes / [ Arcones, M. A.; Gine, E. ] / The Annals of Probability DOI ScienceOn
9	/ [ Shorack, G. R.; Wellner, J. A. ] / Empirical Processes with Applications to Statistics
10	Asymptotic efficiency of two nonparametric competitors of Wilcoxon's two test / [ Hollander, M. ] / Journal of the American Statistical Association DOI ScienceOn