Geodesic
A~probability inequality
Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 731-738

Voir la notice de l'article provenant de la source Math-Net.Ru

The inequalities due to S. N. Bernshtein for the probability of $P(|Y_n|\ge r)$, where $|Y_n|$ is the length of the vector of the normalized sum of the independent and identically distributed vectors and $r>0$ is an arbitrary quantity are extended to the case of two and three dimensions. Some results are also given in the multidimensional case. 
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     author = {A. V. Prokhorov},
     title = {A~probability inequality},
     journal = {Matemati\v{c}eskie zametki},
     pages = {731--738},
     publisher = {mathdoc},
     volume = {3},
     number = {6},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a13/}
}
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A. V. Prokhorov. A~probability inequality. Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 731-738. http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a13/