A Chung type law of the iterated logarithm for subsequences of a Wiener process

Let {W(t), t [greater-or-equal, slanted] 0} be a standard Wiener process and {tn, n [greater-or-equal, slanted] 1} be an increasing sequence of positive numbers with tn --> [infinity]. We consider the limit inf for the maximum of a subsequence W(ti). It is proved in this paper that the Chung law of the iterated logarithm holds, i.e., lim a.s. if and that the assumption cannot be weakened to .Law of the iterated logarithm Limit inferior Subsequence Wiener process