Published January 1, 2019
| Version v1
Journal article
Open
On the Concept of A-Statistical Uniform Integrability and the Law of Large Numbers
Creators
- 1. Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
- 2. Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
- 3. Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
Description
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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