Theory of Probability and Mathematical Statistics

Author(s): I. K. Matsak
Translated by: Oleg Klesov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 74 (2006).
Journal: Theor. Probability and Math. Statist. No. 74 (2007), 77-91.
MSC (2000): Primary 60B12
Posted: June 29, 2007
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Abstract: Necessary and sufficient conditions are found for the ordinal law of the iterated logarithm in Banach lattices of type

. As a corollary of our general results, we obtain a new law of the iterated logarithm for empirical processes in the spaces $L^p(-\infty,\infty)$ .

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Retrieve articles in Theory of Probability and Mathematical Statistics with MSC (2000): 60B12

I. K. Matsak
Affiliation: Department of Probability Theory and Mathematical Statistics, Faculty for Mathematics and Mechanics, National Taras Shevchenko University, Glushkov Avenue, 6, Kyiv, 03127, Ukraine
Address at time of publication: Kyiv National University for Technology and Design, Nemyrovych-Danchenko Street, 2, 01601, GSP, Kyiv, Ukraine
Email: m_i_k@ukr.net

DOI: 10.1090/S0094-9000-07-00699-0
PII: S 0094-9000(07)00699-0
Keywords: Law of the iterated logarithm, Banach lattices, empirical processes
Received by editor(s): 7/MAY/2004
Posted: June 29, 2007
Copyright of article: Copyright 2007, American Mathematical Society

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ISSN: 1547-7363(e) 0094-9000(p)

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