When is the Cluster Set of $S_n/a_n$ Empty?

J. Kuelbs

doi:10.1214/aop/1176994412

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Home > Journals > Ann. Probab. > Volume 9 > Issue 3 > Article

June, 1981 When is the Cluster Set of $S_n/a_n$ Empty?

J. Kuelbs

Ann. Probab. 9(3): 377-394 (June, 1981). DOI: 10.1214/aop/1176994412

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Abstract

We investigate the relationship between the bounded law of the iterated logarithm and the compact law of the iterated logarithm for Banach space valued random variables through the cluster set of $S_n/a_n$. Some rate of escape questions are also examined.