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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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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 .
References:
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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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