On the Concept of A-Statistical Uniform Integrability and the Law of Large Numbers
- 作者: Giuliano Antonini R.1, Ünver M.2, Volodin A.3
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隶属关系:
- Dipartimento di Matematica
- Department of Mathematics, Faculty of Science
- Department of Mathematics and Statistics
- 期: 卷 40, 编号 12 (2019)
- 页面: 2034-2042
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/206433
- DOI: https://doi.org/10.1134/S1995080219120035
- ID: 206433
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详细
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.
作者简介
R. Giuliano Antonini
Dipartimento di Matematica
编辑信件的主要联系方式.
Email: rita.giuliano@unipi.it
意大利, Largo Bruno Pontecorvo 5, Pisa, 56127
M. Ünver
Department of Mathematics, Faculty of Science
编辑信件的主要联系方式.
Email: munver@ankara.edu.tr
土耳其, Beşevler, Ankara, 06100
A. Volodin
Department of Mathematics and Statistics
编辑信件的主要联系方式.
Email: andrei@uregina.ca
加拿大, Regina, SK, S4S 0A2
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