| 关于随机序列加权和的收敛性的注记 |
| |
| 引用本文： | 张丽娜,李春兰,闫广州,张雅静.关于随机序列加权和的收敛性的注记[J].数学的实践与认识,2010,40(5). |
| |
| 作者姓名： | 张丽娜 李春兰 闫广州 张雅静 |
| |
| 作者单位： | 河北农业大学,理学院,河北,保定071001 |
| |
| 基金项目： | 河北省自然科学基金资(2007122,E2008000357); 河北农业大学非生命学科基金 |
| |
| 摘 要： | 通过对数组加权系数的列截尾,研究了B值随机一致有界序列加权和的收敛性,获得了相应的几乎处处收敛和完全收敛到0的结果.最后建立了B值随机适应序列加权和的矩收敛定理.
|
| 关 键 词： | B值随机变量 加权和 几乎处处收敛 矩收敛 |
Notes on Convergence for Weighted Sums of Random Sequences |
| |
| ZHANG Li-na,LI Chun-lan,YAN Guang-zhou,ZHANG Ya-jing.Notes on Convergence for Weighted Sums of Random Sequences[J].Mathematics in Practice and Theory,2010,40(5). |
| |
| Authors: | ZHANG Li-na LI Chun-lan YAN Guang-zhou ZHANG Ya-jing |
| |
| Institution: | ZHANG Li-na,LI Chun-lan,YAN Guang-zhou,ZHANG Ya-jing (College of Science Agricultural University of Hebei,Baoding 071001,China) |
| |
| Abstract: | By column truncating of array weighting coefficients,the paper studies convergence for Weighted Sums of B-Valued Random variables stochastically dominated.The result about almost sure convergence to 0 and complete convergence to 0 have been obtained. At last,moment convergence theorem for random adapted sequence has been established. |
| |
| Keywords: | B-valued random variable weighted sums almost sure convergence moment convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
