TY - JOUR ID - 31916 TI - The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 2009 PY - 2009 VL - 20 IS - 1 SP - EP - DO - N2 - 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 . UR - https://jsciences.ut.ac.ir/article_31916.html L1 - https://jsciences.ut.ac.ir/article_31916_2ea46ad03a0e6780f7a2c3a206f76c6c.pdf ER -