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http://dx.doi.org/10.14317/jami.2021.145

ON ALMOST SURE CONVERGENCE OF NEGATIVELY SUPERADDITIVE DEPENDENT FOR SEMI-GAUSSIAN RANDOM VARIABLES  

BAEK, JONG-IL (School of Big Data &Financiall Statistics, and Institute of Basic Natural Science, Wonkwang University)
SEO, HYE-YOUNG (School of Big Data &Financiall Statistics, and Institute of Basic Natural Science, Wonkwang University)
Publication Information
Journal of applied mathematics & informatics / v.39, no.1_2, 2021 , pp. 145-153 More about this Journal
Abstract
When {Xni|1 ≤ i ≤ n, n ≥ 1} be an array of rowwise negatively superadditive dependent(NSD) for semi-Gaussian random variables and {ani|1 ≤ i ≤ n, n ≥ 1} is an array of constants, we study the almost sure convergence of weighted sums ∑ni=1 aniXni under some appropriate conditions and we obtain some corollaries.
Keywords
NSD; semi-Gaussian random variables; weighted sum; strong law of large numbers; uniformly bounded;
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