Email this article On the Concept of A-Statistical Uniform Integrability and the Law of Large Numbers
- Authors: Giuliano Antonini R.1, Ünver M.2, Volodin A.3
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Affiliations:
- Dipartimento di Matematica
- Department of Mathematics, Faculty of Science
- Department of Mathematics and Statistics
- Issue: Vol 40, No 12 (2019)
- Pages: 2034-2042
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/206433
- DOI: https://doi.org/10.1134/S1995080219120035
- ID: 206433
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Abstract
In this paper, we introduce the concept of A-statistical uniform integrability of sequences of random variables which is not only more general than the concept of uniform integrability, but is also weaker than the concept of uniform integrability. We also give some characterizations of A-statistical uniform integrability and prove a law of large numbers.
About the authors
R. Giuliano Antonini
Dipartimento di Matematica
Author for correspondence.
Email: rita.giuliano@unipi.it
Italy, Largo Bruno Pontecorvo 5, Pisa, 56127
M. Ünver
Department of Mathematics, Faculty of Science
Author for correspondence.
Email: munver@ankara.edu.tr
Turkey, Beşevler, Ankara, 06100
A. Volodin
Department of Mathematics and Statistics
Author for correspondence.
Email: andrei@uregina.ca
Canada, Regina, SK, S4S 0A2
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