Some remarks on a question of Strassen

P. Griffin; J. Kuelbs

doi:10.1007/BF01247838

Some remarks on a question of Strassen

P. Griffin, J. Kuelbs

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

Strassen's original functional law of the iterated logarithm for partial sums and Brownian motion examined convergence and clustering in the sup-norm. Here we address what happens if we use the much larger H-norm. We provide the answer to a query which appeared at the end of Strassen's original paper, and also present several contrasting results which are shown to be essentially best possible.

Original language	English (US)
Pages (from-to)	211-229
Number of pages	19
Journal	Probability Theory and Related Fields
Volume	104
Issue number	2
DOIs	https://doi.org/10.1007/BF01247838
State	Published - Feb 1996

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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abstract = "Strassen's original functional law of the iterated logarithm for partial sums and Brownian motion examined convergence and clustering in the sup-norm. Here we address what happens if we use the much larger H-norm. We provide the answer to a query which appeared at the end of Strassen's original paper, and also present several contrasting results which are shown to be essentially best possible.",

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Some remarks on a question of Strassen

Abstract

ASJC Scopus subject areas

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