数学与计算机科学 |
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行为两两NQD随机变量阵列加权和的完全收敛性 |
章茜 |
浙江机电职业技术学院 数学教研室, 浙江 杭州 310053 |
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Complete convergence for weighted sums of arrays with row-wise pairwise negatively quadrant dependent sequences |
ZHANG Qian |
Mathematics Teaching and Research Section, Zhejiang Institute of Mechanical and Electrical Engineering, Hangzhou 310053, China |
[1] LEHMAMN E L. Some concepts of dependence[J]. Ann Math Stat,1966,37:1137-1153. [2] JOAG-DEVK, PROSCHAN F. Negative association of random variables with applications[J]. Ann-Statist,1983(11):286-295. [3] 吴群英.两两NQD列的收敛性质[J].数学学报,2002,45(3):617-624. WU Q Y. Convergence properties of pairwise NQD random sequences[J]. Acta Mathematica Sinica,2002,45(3):617-624. [4] 陈平炎.两两NQD随机序列的Lr收敛性[J].数学物理学报:A辑,2008,28(3):447-453. CHEN P Y. Lrconvergence for pairwise NQD random variables[J]. Acta Mathematica Scientia:SerA,2008,28(3):447-453. [5] 方炜,郭明乐.行为两两NQD阵列加权和的矩完全收敛性[J].工程数学学报,2013,30(5):761-772. FANG W, GUO M L. Complete moment convergence of weighted sums for arrays of row-wise pairwise NQD random variables[J].Chinese Journal of Engineering Mathematics,2013,30(5):761-772. [6] 邱德华,甘师信.两两NQD列随机变量序列的完全收敛性[J].武汉大学学报:理学版,2013,59(3):285-290. QIU D H, GAN S X. Complete convergence for sequence of pairwise NQD random variables[J]. Journal of Wuhan University:Natural Sciences Edition,2013,59(3):285-290. [7] MI-HWA K. On Complete convergence for weighted sums of pairwise negatively quadrant dependent sequences[J]. Communications of Korean Statistical Society,2012,19(2):247-256. [8] GUT A, STADTMULLER U. An intermediate Baum-Katz theorem[J]. Statist Probab Lett,2011(10):1486-1492. [9] WU Q Y, JIANG Y Y. Complete convergence and complete moment convergence for negatively associated sequences of random variables[J]. Journal of Inequalities and Applications,2016(1):1-10. [10] LI D L, RAO M B, WANG X C. Complete convergence of moving average processes[J]. Statist Probab Lett,1992(14):111-114. |
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