Let $X_1, X_2,\cdots$ be a sequence of independent random variables, each with zero mean and finite variance. Define $S_n = \sum^n_{i=1} X_i, s_n^2 = E(S_n^2), t_n^2 ...
Salem and Zygmund obtained an upper bound for a tail law of the iterated logarithm for sums of the form $\sum\limits{_{k=N} ^{\infty }} \ a_{k} \ cos (n_{k}x) + b_{x} \ sin(n_{k}x)$ , where n k ...
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