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Abstract |
As an estimator of an estimable parameter, we consider a linear combination of $ mathrm{U}-statistics $ introduced by Toda and Yamato (2001). As a special case, this statistic includes the $ mathrm{V}... $-statistic and $ mathrm{LB] $-statistic. In case that the kernel is not degenerate, this linear combination of $ mathrm{U} $-statistics converges to normal distribution. We show some rates of convergence different from Berry-Esseen bound.show more
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