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. "The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables". , 20, 1, 1387, -.
. (1387). 'The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables', , 20(1), pp. -.
. The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables. , 1387; 20(1): -.

The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables

Journal of Sciences, Islamic Republic of Iran
مقاله 8، دوره 20، شماره 1، خرداد 2009    اصل مقاله (248.5 K)
چکیده
In this paper, we generalize a theorem of Shao [12] by assuming that is a sequence of linear negatively dependent random variables. Also, we extend some theorems of Chao [6] and Thrum [14]. It is shown by an elementary method that for linear negatively dependent identically random variables with finite -th absolute moment the weighted sums converge to zero as where and is an array of real numbers. Moreover, we prove the almost sure convergence for weighted sums , when is a sequence of pairwise negative quadrant dependence stochastically bounded random variables under some suitable conditions on .
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