Geodesic
Exponential inequalities for the distributions of canonical multiple partial sum processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 2, pp. 209-227

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Exponential inequalities are obtained for the distribution tail of the sup-norm of a multiple partial sum process with canonical bounded kernel based on independent and weakly dependent observations. The exponent obtained has the correct order.
Keywords: exponential inequalities, canonical $U$- and $V$-statistics, multiple orthogonal series. 
@article{TVP_2019_64_2_a0,
     author = {I. S. Borisov and A. A. Bystrov},
     title = {Exponential inequalities for the distributions of canonical multiple partial sum processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {209--227},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2019_64_2_a0/}
}
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I. S. Borisov; A. A. Bystrov. Exponential inequalities for the distributions of canonical multiple partial sum processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 2, pp. 209-227. http://geodesic.mathdoc.fr/item/TVP_2019_64_2_a0/