On the Concept of A-Statistical Uniform Integrability and the Law of Large Numbers


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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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R. Giuliano Antonini

Dipartimento di Matematica

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Email: rita.giuliano@unipi.it
意大利, Largo Bruno Pontecorvo 5, Pisa, 56127

M. Ünver

Department of Mathematics, Faculty of Science

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Email: munver@ankara.edu.tr
土耳其, Beşevler, Ankara, 06100

A. Volodin

Department of Mathematics and Statistics

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Email: andrei@uregina.ca
加拿大, Regina, SK, S4S 0A2

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