Sufficient conditions for the validity of the upper and lower inequality of the law of iterated logarithm for weighted sums $\sum^n_{k = 1} a_{nk}X_k$ of i.i.d. random variables $(X_i)$ are given.
Ann. Probab.
12(1):
35-44
(February, 1984).
DOI: 10.1214/aop/1176993372
