Complete Convergence for the Maximum Partial Sums of

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Abstract

In this paper, the author obtains complete convergence for the maximum partial sums of m-widely orthant dependent (m-WOD) random variables sequences under some general conditions. The results extend the complete convergence for m-WOD random variables to a much more general type complete convergence. As the sequences of m-WOD random variables represent a very broad class of dependent sequences, the results improve and generalize the corresponding ones in the literature.

Fields of Study & Subjects

Probability and Statistical Research Probability and Risk Models Stochastic processes and statistical mechanics

Publication details

Journal / source
Springer Link (Chiba Institute of Technology)
Publication date
9 January 2026
Language
EN