| 关于广义几何分布的强偏差定理 |
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| 引用本文： | 王学武. 关于广义几何分布的强偏差定理[J]. 经济数学, 2007, 24(3): 300-306 |
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| 作者姓名： | 王学武 |
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| 作者单位： | 山东工商学院数学与信息科学学院,山东烟台,264005 |
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| 摘 要： | 利用对数似然比作为一类整值随机变量序列相对于独立随机变量序列的偏差度量,在限定对数似然比的给定样本空间的子集上,建立并证明一类整值随机变量序列的强偏差定理,作为推论得到了此类分布的独立随机变量序列的若干强大数定律.
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| 关 键 词： | 强偏差 广义几何分布 对数似然比 a.s.收敛 强大数定律 |
| 修稿时间： | 2007-03-12 |
A STRONG DEVIATION THEOREM FOR GENERALIZED GEOMETRIC DISTRIBUTION |
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| Wang Xuewu. A STRONG DEVIATION THEOREM FOR GENERALIZED GEOMETRIC DISTRIBUTION[J]. Mathematics in Economics, 2007, 24(3): 300-306 |
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| Authors: | Wang Xuewu |
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| Abstract: | The notion of logarithm likelihood ratio,as a measure of deviation between a sequence of the integer valued randon variables with independent generalized geometric distribution,is introduced.We establish strong deviation theorems on the subset given by restricting the logarithm likelihood ratio,and obtain many strong laws of large number for independent random sequence obeyed generalizaed geometric distribution. |
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| Keywords: | Strong deviation generalized geometric distribution logarithm likelihood ratio convergence a.s. strong law of large number. |
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