Finkelstein's (1971) functional law of the iterated logarithm for empirical distributions is extended to cases where the empirical distribution is multiplied by a ...

Let {Sn, n ≥ 1} be a zero, mean square integrable martingale for which $\lim_{n\to\infty}ES_{n}^{2}<\infty$ so that Sn → S∞, a.s., say, by the martingale convergence theorem. The paper is principally ...