Some limiting behavior of the maximum of the partial sum for asymptotically negatively associated random vectors in Hilbert space

Mi-Hwa Ko

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 11, 3598-3611

Abstract: In this paper, we establish L2-convergence and complete convergence results for the maximum of the partial sum of asymptotically negatively associated random vectors in Hilbert space. In addition, we consider Hájek-Rényi inequality and prove some strong law of large numbers for H-valued asymptotically negatively associated random vectors.

Date: 2023
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DOI: 10.1080/03610926.2021.1977957

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