On Complete Convergence for Weighted Sums of NA Random Fields |
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| Authors: | Mi-Hwa Ko |
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| Affiliation: | Division of Mathematics and Informational Statistics, Wonkwang University, Jeonbuk, Korea |
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| Abstract: | In this paper, we prove the complete convergence for the weighted sums of negatively associated random variables with multidimensional indices. The main result generalizes Theorem 2.1 in Kuczmaszewska and Lagodowski (2011 Kuczmaszewska, A., Lagodowski, Z.A. (2011). Convergence rates in the SLLN for some classes of dependent random field. J. Math. Anal. Appl. 380:571–584.[Crossref], [Web of Science ®] , [Google Scholar]) to the case of weighted sums. |
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| Keywords: | Complete convergence Multidimensional indices Negatively associated random fields Weighted sums |
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