| 随机变量序列与指数分布序列的比较及相应的强偏差定理 |
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| 引用本文： | 袁翊.随机变量序列与指数分布序列的比较及相应的强偏差定理[J].安庆师范学院学报(自然科学版),2001,7(4):25-26. |
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| 作者姓名： | 袁翊 |
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| 作者单位： | 铜陵工业学校,基础部,安徽,铜陵,244000 |
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| 摘 要： | 利用对数似然比作为一般非负连续型随机变量序列相对于服从指数分布的独立但不同分布随机变量序列偏差的一种随机性度量 ,运用鞅理论及分析方法 ,研究了一类随机变量序列加权和的用不等式表示的极限定理 ,即强偏差定理
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| 关 键 词： | 上鞅 强偏差 似然比 对数似然比 |
| 文章编号： | 1007-4260(2001)04-0025-02 |
The comparison between arbitrary random sequence and exponential distribution sequence and strong deviation theorems |
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| YUAN Yi.The comparison between arbitrary random sequence and exponential distribution sequence and strong deviation theorems[J].Journal of Anqing Teachers College(Natural Science Edition),2001,7(4):25-26. |
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| Authors: | YUAN Yi |
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| Abstract: | In this paper,the notion of logarithmic likelihood ration,as a random measure of the deviation of a sequence of nonnegative continuous random sequence from independent random sequence with exponential distribution is introduced.By using the martingale theory and analytic method,some strong limit theorems represented by inequality of weighted random sequence is studied. |
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| Keywords: | supper martingale strong deviation likelihood ratio olgarithmic likelihood ratio |
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