A MEAN CONVERGENCE THEOREM FOR TRIANGULAR ARRAYS OF ROWWISE AND PAIRWISE mn-DEPENDENT RANDOM VARIABLES

A MEAN CONVERGENCE THEOREM FOR TRIANGULAR ARRAYS OF ROWWISE AND PAIRWISE mn-DEPENDENT RANDOM VARIABLES

This paper establishes a mean convergence theorem for triangular arrays of rowwise and pairwise mn-dependent random variables. Some authors studied limit theorems for sequences of pairwise m-dependent random variables where m is fixed (see, e.g., Quang and Nguyen [Applications of Mathematics, 20...

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Bibliographic Details
Main Authors: Le Van Thanh, Pham Nhu Y
Format: Article
Language:English
Published: Trường Đại học Vinh 2023-12-01
Series:Tạp chí Khoa học
Subjects:
convergence in mean
pairwise mn-dependence
uniform integrability in the cesàro sense
triangular array of random variables
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