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
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