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Theory of Probability and Mathematical Statistics
Theory of Probability and Mathematical Statistics
ISSN: 1547-7363(e) 0094-9000(p)
     

Some remarks on the ordinal strong law of large numbers

Author(s): I. K. Matsak
Translated by: Oleg Klesov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 72 (2005).
Journal: Theor. Probability and Math. Statist. No. 72 (2006), 93-102.
MSC (2000): Primary 60B12
Posted: August 18, 2006
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Abstract | References | Similar articles | Additional information

Abstract: We prove that the ordinal law of large numbers and the law of large numbers in the norm are equivalent for Banach lattices that do not contain uniformly the space $ l_1^n$.


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Additional Information:

I. K. Matsak
Affiliation: Department of Probability Theory and Mathematical Statistics, Faculty for Mathematics and Mechanics, National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email: d.i.m.@ukrpost.net

DOI: 10.1090/S0094-9000-06-00667-3
PII: S 0094-9000(06)00667-3
Received by editor(s): 15/JAN/2004
Posted: August 18, 2006
Copyright of article: Copyright 2006, American Mathematical Society


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