THE COMPLETE CONVERGENCE FOR DEPENDENT RANDOM VARIABLES IN HILBERT SPACES

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Published: Aug 15, 2018
DOI: https://doi.org/10.14403/jcms.2018.31.3.343
Keywords:
complete convergence, negative associated random variables, ϕ-mixing random variables, Hilbert space, weakly upper bounded

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Hyun-Chull Kim
Department of Mathematics Education, Sehan University

Abstract





We study the complete convergence for sequences of dependent random variables in Hilbert spaces. Results are obtained for negatively associated random variables and ϕ-mixing random variables in Hilbert spaces.





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Article Details

Issue
Vol. 31 No. 3 (2018)
Section
Articles