节点文献
关于随机序列加权和的收敛性的注记
Notes on Convergence for Weighted Sums of Random Sequences
【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.
【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.
【关键词】 B值随机变量;
加权和;
几乎处处收敛;
矩收敛;
【Key words】 B-valued random variable; weighted sums; almost sure convergence; moment convergence;
【Key words】 B-valued random variable; weighted sums; almost sure convergence; moment convergence;
【基金】 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
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年05期
- 【分类号】O211.4
- 【被引频次】2
- 【下载频次】52