Abstract
It is shown that, under some regularity conditions on the kernel, a one-sample $U$-statistic with kernel of degree two admits an asymptotic expansion with remainder term $o(N^{-1})$.
Citation
H. Callaert. P. Janssen. N. Veraverbeke. "An Edgeworth Expansion for $U$-Statistics." Ann. Statist. 8 (2) 299 - 312, March, 1980. https://doi.org/10.1214/aos/1176344955
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