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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 . | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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