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On asymptotic behavior of U-statistics for associated random variables

5 January 2015
Mansi Garg
Isha Dewan
ArXiv (abs)PDFHTML
Abstract

Let Xn,n≥1{X_n, n \ge 1}Xn​,n≥1 be a sequence of stationary associated random variables. For such a sequence, we discuss the limiting behavior of U-statistics based on kernels which are of bounded Hardy-Krause variation. As an application, we obtain the asymptotic distribution of Gini's mean difference. We also give simulation results to illustrate the asymptotic normality of the statistic under the dependent setup.

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