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The ordinal convergence and Glivenko-Cantelli type theorems in 
Author(s):
I.
K.
Matsak
Translated by:
O. I. Klesov
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 75
(2006).
Journal:
Theor. Probability and Math. Statist.
No. 75
(2007),
83-92.
MSC (2000):
Primary 60B12
Posted:
January 24, 2008
MathSciNet review:
2321183
Retrieve article in:
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Abstract |
References |
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Additional information
Abstract:
Let  be a distribution function and  the corresponding empirical distribution function. We find necessary and sufficient conditions for the ordinal convergence o-lim in the spaces  .
References:
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Additional Information:
I.
K.
Matsak
Affiliation:
Department of Operations Research, Faculty for Cybernetics, National Taras Shevchenko University, Academician Glushkov Avenue, 6, Kyiv 03127, Ukraine
Email:
mik@unicyb.kiev.ua
DOI:
10.1090/S0094-9000-08-00716-3
PII:
S 0094-9000(08)00716-3
Keywords:
Empirical distribution function,
ordinal convergence,
Glivenko--Cantelli theorem
Received by editor(s):
1/SEP/2005
Posted:
January 24, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
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