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Complete Moment Convergence of Weighted Sums for Arrays of Rowwise -Mixing Random Variables

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  • Ming Le Guo

Abstract

The complete moment convergence of weighted sums for arrays of rowwise φ -mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ -mixing random variables are obtained. The results of Ahmed et al. (2002) are complemented. As an application, the complete moment convergence of moving average processes based on a φ -mixing random sequence is obtained, which improves the result of Kim et al. (2008).

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  • Ming Le Guo, 2012. "Complete Moment Convergence of Weighted Sums for Arrays of Rowwise -Mixing Random Variables," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-13, September.
    • Handle: RePEc:hin:jijmms:730962
    DOI: 10.1155/2012/730962
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    References listed on IDEAS

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    1. Kim, Tae-Sung & Ko, Mi-Hwa, 2008. "Complete moment convergence of moving average processes under dependence assumptions," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 839-846, May.
    2. Ahmed, S. Ejaz & Antonini, Rita Giuliano & Volodin, Andrei, 2002. "On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes," Statistics & Probability Letters, Elsevier, vol. 58(2), pages 185-194, June.
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