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It has been found in simulation studies that jackknife estimators of skewness have downward biases. In this paper we obtain asymptotic representations of the jackknife skewness estimators for $ U $-st...atistics with remainder term $ o_p(n^{-1}) $ and discuss the biases theoretically. Using the asymptotic representations, we also obtain Edgeworth expansions with remainder term $ o(n^{-1/2}) $.show more
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