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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


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.


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J. Kuelbs. "When is the Cluster Set of $S_n/a_n$ Empty?." Ann. Probab. 9 (3) 377 - 394, June, 1981.


Published: June, 1981
First available in Project Euclid: 19 April 2007

zbMATH: 0459.60005
MathSciNet: MR614624
Digital Object Identifier: 10.1214/aop/1176994412

Primary: 60B05
Secondary: 28A40 , 60B10 , 60F10

Keywords: central limit theorem , cluster set , Law of the iterated logarithm , Rates of escape

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 3 • June, 1981
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