| 强收敛与弱收敛的微小区别 |
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| 引用本文： | 周明法,王金亮.强收敛与弱收敛的微小区别[J].大学数学,2007,23(3):170-171. |
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| 作者姓名： | 周明法 王金亮 |
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| 作者单位： | 九江学院,理学院,江西,九江,332005 |
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| 摘 要： | 对于独立同分布随机变量序列{Xn,n≥1},证明了其满足弱大数律的一个必要条件是:对于任何r∈(0,1),E|X|r<∞都成立.另外我们还举例说明了这样的条件不是充分的.
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| 关 键 词： | 强收敛 弱收敛 Minkowski不等式 特征函数 |
| 文章编号： | 1672-1454（2007）03-0170-02 |
| 修稿时间： | 2005-10-24 |
The Subtle Distinction between Strong Convergence and Weak Convergence |
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| ZHOU Ming-fa,WANG Jin-liang.The Subtle Distinction between Strong Convergence and Weak Convergence[J].College Mathematics,2007,23(3):170-171. |
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| Authors: | ZHOU Ming-fa WANG Jin-liang |
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| Institution: | Science school of Jiujiang University, Jiujiang 332005, China |
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| Abstract: | For the independently and identically distributed random variables {Xn,n≥1},we have proved that it is necessary that E|X|r<∞ for any r∈(0,1) if the weak law of large number is satisfied.On the other hand,we have found that this condition is not sufficient for satisfying the weak law of large number. |
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| Keywords: | strong convergence weat convergence Minkowski inequation characteristic function |
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