On the Concept of A-Statistical Uniform Integrability and the Law of Large Numbers
- Autores: Giuliano Antonini R.1, Ünver M.2, Volodin A.3
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Afiliações:
- Dipartimento di Matematica
- Department of Mathematics, Faculty of Science
- Department of Mathematics and Statistics
- Edição: Volume 40, Nº 12 (2019)
- Páginas: 2034-2042
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/206433
- DOI: https://doi.org/10.1134/S1995080219120035
- ID: 206433
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Resumo
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.
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Sobre autores
R. Giuliano Antonini
Dipartimento di Matematica
Autor responsável pela correspondência
Email: rita.giuliano@unipi.it
Itália, Largo Bruno Pontecorvo 5, Pisa, 56127
M. Ünver
Department of Mathematics, Faculty of Science
Autor responsável pela correspondência
Email: munver@ankara.edu.tr
Turquia, Beşevler, Ankara, 06100
A. Volodin
Department of Mathematics and Statistics
Autor responsável pela correspondência
Email: andrei@uregina.ca
Canadá, Regina, SK, S4S 0A2