| 任意随机序列级数的强收敛性 |
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| 引用本文： | 王小胜,杨卫国.任意随机序列级数的强收敛性[J].数学的实践与认识,2005,35(8):229-232. |
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| 作者姓名： | 王小胜 杨卫国 |
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| 作者单位： | 1. 河北工程学院理学院,河北,邯郸,056038
2. 江苏大学理学院,江苏,镇江,212013 |
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| 摘 要： | 利用鞅差序列级数收敛定理研究任意随机序列级数的强收敛性,得到了该序列的一个强极限定理,某些经典的鞅差序列和独立随机变量序列的强极限定理是其特例.
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| 关 键 词： | 鞅 鞅差序列 随机序列 几乎处处 |
| 修稿时间： | 2005年1月6日 |
Strong Convergence Theorems for Arbitrary Stochastic Sequence Series |
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| WANG Xiao-sheng,YANG Wei-guo.Strong Convergence Theorems for Arbitrary Stochastic Sequence Series[J].Mathematics in Practice and Theory,2005,35(8):229-232. |
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| Authors: | WANG Xiao-sheng YANG Wei-guo |
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| Institution: | WANG Xiao-sheng 1,YANG Wei-guo 2 |
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| Abstract: | In this paper, the authors study the strong convergence of series on the arbitrary stochastic sequences by the convergence theorem for martingale-difference series. A strong limit theorem is obtained. Some classical strong limit theorems on martingale-difference sequence and independent stochastic sequences are the particular cases of the result of this paper. |
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| Keywords: | martingale martingale-difference stochastic sequence |
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