Sectorial convergence of U-statistics
Gadidov, Anda
Ann. Probab., Tome 33 (2005) no. 1, p. 816-822 / Harvested from Project Euclid
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In this note we show that almost sure convergence to zero of symmetrized U-statistics indexed by a linear sector in ℤd+ is equivalent to convergence along the diagonal of ℤd+, as it is considered in Latała and Zinn [Ann. Probab. 28 (2000) 1908–1924]. Comparisons with similar results for sums of multi-indexed i.i.d. random variables are also made.
Publié le : 2005-03-14
Classification:  U-statistics,  strong law of large numbers,  Rademacher sequence,  decoupling,  60F15,  60E15 
@article{1109868601,
     author = {Gadidov, Anda},
     title = {Sectorial convergence of U-statistics},
     journal = {Ann. Probab.},
     volume = {33},
     number = {1},
     year = {2005},
     pages = { 816-822},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1109868601}
}

Gadidov, Anda. Sectorial convergence of U-statistics. Ann. Probab., Tome 33 (2005) no. 1, pp.  816-822. http://gdmltest.u-ga.fr/item/1109868601/