Almost sure convergence of generalized $U$-statistics and von Mises' differentiable statistical functions is studied with the help of the general $L \log L$ martingale convergence theorem.
Publié le : 1977-04-14
Classification:
Almost sure convergence,
generalized $U$-statistics,
reverse martingales and submartingales,
von Mises' differentiable statistical functions,
60B10
@article{1176995853,
author = {Sen, Pranab Kumar},
title = {Almost Sure Convergence of Generalized $U$-Statistics},
journal = {Ann. Probab.},
volume = {5},
number = {6},
year = {1977},
pages = { 287-290},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995853}
}
Sen, Pranab Kumar. Almost Sure Convergence of Generalized $U$-Statistics. Ann. Probab., Tome 5 (1977) no. 6, pp. 287-290. http://gdmltest.u-ga.fr/item/1176995853/