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An almost sure central limit theorem for products of sums of partial sums under association |
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| Authors: | Yong Zhang Xiao-Yun Yang Zhi-Shan Dong |
| Affiliation: | College of Mathematics, Jilin University (Qianwei Campus), Changchun 130012, PR China |
| Abstract: | Let  be a strictly stationary positively or negatively associated sequence of positive random variables with EX1=μ>0, and VarX1=σ2<∞. Denote  ,  and γ=σ/μ the coefficient of variation. Under suitable conditions, we show that |
| Keywords: | Almost sure central limit theorem Products of sums of partial sums Negatively (positively) associated LNQD (LPQD) |
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