| 负二项分布两种参数估计及其比较 |
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| 引用本文： | 程维虎,王莉丽. 负二项分布两种参数估计及其比较[J]. 数理统计与管理, 2004, 23(5): 52-56 |
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| 作者姓名： | 程维虎 王莉丽 |
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| 作者单位： | 北京工业大学应用数理学院,北京,100022;北京工业大学应用数理学院,北京,100022 |
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| 摘 要： | 负二项分布在昆虫空间分布中有重要应用,其参数常用矩法或零频率法来估计。本文讨论两种估计的性质,得到大样本情形下,零频率较大时,零频率估计较矩估计有更高精度的结论;通过计算机模拟,验证结论。
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| 关 键 词： | 负二项分布 参数估计 矩估计 零频率估计 |
| 文章编号： | 1002-1566(2004)05-0052-05 |
| 修稿时间： | 2003-06-06 |
Two Methods of Parameter Estimate and Their Comparison for the Negative Binomial Distribution |
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| CHENG Wei-hu,WANG Li-li. Two Methods of Parameter Estimate and Their Comparison for the Negative Binomial Distribution[J]. Application of Statistics and Management, 2004, 23(5): 52-56 |
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| Authors: | CHENG Wei-hu WANG Li-li |
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| Abstract: | The negative binomial distribution is an important distribution in contagious insect study. Usually,the moment method and the zero-frequency method are used for the parameter estimation in the negative binomial distribution. In this paper,some properties are discussed for the estimator. We found that the zero-frequency method has better accuracy than moment method in the most case, and this conclusion is proved with Monte Carlo method. |
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| Keywords: | negative binomial distribution parameter estimation zero-frequency estimation moment estimation asymptotically normal. |
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