Summary
For a functionf(.) from Strassen's class, we investigate the lim inf behaviour of its distance from the normalized trajectories of a Wiener process. The lim inf rate is expressed in terms of a certain functional off(.). In addition, we give a result on the lim inf behaviour of the distance of the normed trajectories from Strassen's class as a whole.
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Grill, K. A lim inf result in Strassen's law of the iterated logarithm. Probab. Th. Rel. Fields 89, 149–157 (1991). https://doi.org/10.1007/BF01366903
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DOI: https://doi.org/10.1007/BF01366903