@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}
}