| 指数分布场合下基于分组数据区间估计的新方法 |
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| 引用本文： | 徐海燕,费鹤良.指数分布场合下基于分组数据区间估计的新方法[J].上海师范大学学报(自然科学版),2003,32(3):7-12. |
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| 作者姓名： | 徐海燕 费鹤良 |
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| 作者单位： | 上海师范大学数理信息学院,上海,200234 |
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| 基金项目： | the Nation Natural Science Foundation of China (69971016) and Shanghai Science and Technology Development Foundation (00JC14057) and the Special Foundation for Major Specialties of Shanghai Education Committee |
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| 摘 要： | 从新的角度证明了分组数据下指数分布总体均值的极大似然估计(MLE)的渐进正态性,给出了该均值的渐进置信区间。通过Monte Carlo模拟比较,发现该置信区间优于CHEN和MIE得到的置信区间。
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| 关 键 词： | 指数分布 多项分布 分组数据 极大似然估计 渐进正态性 渐进置信区间 |
A New Way to Estimate the Confidence Interval for the Mean of the Exponential Distribution Based on Grouped Data |
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| Abstract.A New Way to Estimate the Confidence Interval for the Mean of the Exponential Distribution Based on Grouped Data[J].Journal of Shanghai Normal University(Natural Sciences),2003,32(3):7-12. |
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| Authors: | Abstract |
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| Abstract: | Based on grouped data, the asymptotic nonnality of the maximum likelihood estimate (MLE) for mean of the single-parameter exponential distribution is proved from a new point of view, and the asymptotic confidence interval is derived. Comparing the results of CHEN and MIE, a Monte carlo simulation shows that it is a little more effective. |
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| Keywords: | exponential distribution polynomial distribution grouped data maximum likelihood estimate asymptotic normality asymptotic confidence interval |
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