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Convergence Rates in the Law of Large Numbers

Convergence Rates in the Law of Large Numbers

Introduction.Let {Xk : k ^ 1} denote a sequence of random variables, {a" : n 2ï 1} a sequence of real numbers, {bn: n ^ 1} a nondecreasing sequence of positive real numbers and let Sn = lTk = xXk.Many of the limit theorems of probability theory may then be …