THE WEAK LAWS OF LARGE NUMBERS FOR SUMS OF ASYMPTOTICALLY ALMOST NEGATIVELY ASSOCIATED RANDOM VECTORS IN HILBERT SPACES

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Published: Aug 15, 2019
DOI: https://doi.org/10.14403/jcms.2019.32.3.327
Keywords:
Asymptotically almost negative association, Rosenthal -type maximal inequality, Weak law of large numbers, Hilbert space, Coordinatewise asymptotically almost negative association, Weakly bounded
Mathematics Subject Classification (2020):
Primary 60F15

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Hyun-Chull Kim
Department of Mathematics Education, Sehan University

Abstract





In this paper, the weak laws of large numbers for sums of asymptotically almost negatively associated random vectors in Hilbert spaces are investigated. Some results in Hien and Thanh ([3]) are generalized to asymptotically almost negatively random vectors in Hilbert space.





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Article Details

Issue
Vol. 32 No. 3 (2019)
Section
Articles