Some Results on the LIL in Banach Space with Applications to Weighted Empirical Processes
Some Results on the LIL in Banach Space with Applications to Weighted Empirical Processes
We examine the cluster set of $S_n/a_n$ for Banach space valued random variables, and investigate the relationship between the central limit theorem and the law of the iterated logarithm in this setting. In the case of Hilbert space valued random variables, necessary and sufficient conditions are given for the law …