Bernstein's Inequality in the Bivariate Case
Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 83-86
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If (Xl, X2,..., Xn), is a set of n independent random variables, such that EXi=0, Var and if t is a real positive number and , then Bernstein [2] has given an upper bound for Pr when the X's are bounded. The best English language discussion of Bernstein's work is probably by Bennett [1].
Mullen, Kenneth. Bernstein's Inequality in the Bivariate Case. Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 83-86. doi: 10.4153/CMB-1973-017-5
@article{10_4153_CMB_1973_017_5,
author = {Mullen, Kenneth},
title = {Bernstein's {Inequality} in the {Bivariate} {Case}},
journal = {Canadian mathematical bulletin},
pages = {83--86},
year = {1973},
volume = {16},
number = {1},
doi = {10.4153/CMB-1973-017-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-017-5/}
}
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