One-sided limit theorems for sums of multidimensional indexed random variables
Let \(\{X_ n, n\in Z^ d_ +\}\) be independent random elements in a Rademacher type \(p\) space and \(\{a_ n, n\in Z^ d_ +\}\) be a sequence of constants. The author proves the general weak law of large numbers and generalized laws of the iterated logarithm for weighted partial sums of the form \(\sum_{| n|\leq N}a_ nX_ n\).
iterated logarithm for weighted partial sums
scientific article; zbMATH DE number 96938