The LIL for canonical U-statistics
Adamczak, Radosław ; Latała, Rafał
Ann. Probab., Tome 36 (2008) no. 1, p. 1023-1058 / Harvested from Project Euclid
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We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for canonical U-statistics of arbitrary order d, extending the previously known results for d=2. The nasc’s are expressed as growth conditions on a parameterized family of norms associated with the U-statistics kernel.
Publié le : 2008-05-15
Classification:  U-statistics,  law of the iterated logarithm,  60E15 
@article{1207749089,
     author = {Adamczak, Rados\l aw and Lata\l a, Rafa\l },
     title = {The LIL for canonical U-statistics},
     journal = {Ann. Probab.},
     volume = {36},
     number = {1},
     year = {2008},
     pages = { 1023-1058},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1207749089}
}

Adamczak, Radosław; Latała, Rafał. The LIL for canonical U-statistics. Ann. Probab., Tome 36 (2008) no. 1, pp.  1023-1058. http://gdmltest.u-ga.fr/item/1207749089/