| 关于对数Poisson分布性质的研究 |
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| 引用本文： | 柳扬.关于对数Poisson分布性质的研究[J].大连大学学报,2013(3):6-8,44. |
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| 作者姓名： | 柳扬 |
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| 作者单位： | 大连大学 信息工程学院,辽宁 大连,116622 |
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| 摘 要： | 针对经典的Piosson分布,利用对数正态分布的思想,给出了对数Poisson分布的定义以及对数Poisson分布的概率分布律,讨论了对数Poisson分布的矩的性质及其分布的偏度和峰度系数。在对数Poisson分布的点估计的研究中,得到了参数的极大似然估计量具有无偏性、有效性、相合性和充分性等优良性质。
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| 关 键 词： | 对数Poisson分布 点估计 极大似然估计 |
Research on Property of Logpoisson Distribution |
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| LIU Yang.Research on Property of Logpoisson Distribution[J].Journal of Dalian University,2013(3):6-8,44. |
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| Authors: | LIU Yang |
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| Institution: | LIU Yang (College of Information Engineering, Dalian University, Dalian 116622, China) |
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| Abstract: | This article aims at the classic Poisson distribution gives the definition of Logpoisson distribution and the probability distribution law based on the theory of lognormal distribution. The moment＇s properties and the asymmetry coefficient and kurtosis coefficient of the distribution were discussed. It concludes that the maximum likelihood estimate of the parameters has no bias, validity, consistency and adequacy and other excellent properties. |
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| Keywords: | logpoisson distribution the point estimate the maximum likelihood estimate of the parameters |
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