Self-normalized processes arise naturally in statistical applications. Being unit free, they are not affected by scale changes. Moreover, self-normalization often eliminates or weakens moment ...

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 ...