This is a preview. Log in through your library . Abstract A version of the law of the iterated logarithm is proved for sequences of independent random variables which satisfy the central limit theorem ...

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 ...