@article{oai:ir.kagoshima-u.ac.jp:00006227,
author = {Yamato, Hajime and Kondo, Masako and Toda, Koichiro},
issue = {2},
journal = {Journal of nonparametric statistics},
month = {},
note = {As an estimator of a real estimable parameter, we consider a linear combination of U-statistics which include V-statistic and limit of Bayes estimate (Toda and Yamato [9]). In the case that the kernel of the estimable parameter is degenerate, we show functional limit theorems (invariance principles) for the linear combination of U-statistics. As their applications we give the asymptotic distribution of a linear combination of U-statistics.},
pages = {187--199},
title = {Asymptotic properties of linear combinations of U-statistics with degenerate kernels},
volume = {17},
year = {2005}
}