Conditional $U$-Statistics
Stute, Winfried
Ann. Probab., Tome 19 (1991) no. 4, p. 812-825 / Harvested from Project Euclid
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We introduce a class of so-called conditional $U$-statistics, which generalize the Nadaraya-Watson estimate of a regression function in the same way as Hoeffding's classical $U$-statistics is a generalization of the sample mean. Asymptotic normality and weak and strong consistency are proved.
Publié le : 1991-04-14
Classification:  Conditional $U$-statistics,  smoothing,  asymptotic normality,  strong convergence,  60F05,  60F15,  62J99 
@article{1176990452,
     author = {Stute, Winfried},
     title = {Conditional $U$-Statistics},
     journal = {Ann. Probab.},
     volume = {19},
     number = {4},
     year = {1991},
     pages = { 812-825},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176990452}
}

Stute, Winfried. Conditional $U$-Statistics. Ann. Probab., Tome 19 (1991) no. 4, pp.  812-825. http://gdmltest.u-ga.fr/item/1176990452/