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August, 1983 Some Results on LIL Behavior
J. Kuelbs, J. Zinn
Ann. Probab. 11(3): 506-557 (August, 1983). DOI: 10.1214/aop/1176993499


We examine the relationship between the central limit theorem with Gaussian limit, and law of the iterated logarithm type behavior in the Banach space setting. Our results solve some problems posed by Kesten (1972) and generalize some results of Klass (1976, 1977).


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J. Kuelbs. J. Zinn. "Some Results on LIL Behavior." Ann. Probab. 11 (3) 506 - 557, August, 1983.


Published: August, 1983
First available in Project Euclid: 19 April 2007

zbMATH: 0518.60009
MathSciNet: MR704541
Digital Object Identifier: 10.1214/aop/1176993499

Primary: 60B05
Secondary: 28A40 , 60B10 , 60F05 , 60F10 , 60F15

Keywords: central limit theorem , cluster set , Law of the iterated logarithm , LIL behavior

Rights: Copyright © 1983 Institute of Mathematical Statistics

Vol.11 • No. 3 • August, 1983
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