定时截尾下具有缺失数据两个Rayleigh分布总体参数的估计和检验

吉林大学学报(理学版)

定时截尾下具有缺失数据两个Rayleigh分布总体参数的估计和检验

ZHAO Zhiwen^1,2, M.S. Abdalroof¹, SHENG Dan shu¹

1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China

收稿日期:2013-02-17 出版日期:2013-11-26 发布日期:2013-11-21
通讯作者: 赵志文 E-mail:zhaozhiwen@126.com

Using the maximum likelihood method, the authors studied parameter estimation and hypothesis on the equality of two Rayleigh distribution parameters under type Ⅰ censoring sample with missing data. We discussed the limiting properties of the estimator. Moreover, statistic on testing equality of the parameters from two Rayleigh distributions and its limit distribution were given.

1. 吉林大学数学学院, 长春 130012; 2. 吉林师范大学数学学院, 吉林四平 136000

Received:2013-02-17 Online:2013-11-26 Published:2013-11-21
Contact: ZHAO Zhiwen E-mail:zhaozhiwen@126.com

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摘要：

利用极大似然方法研究定时截尾情形下, 具有缺失数据的两个Rayleigh分布总体参数的估计及两个Rayleigh总体参数相等的假设检验问题, 给出了估计量的极限性质、检验两总体参数相等的检验统计量及其极限分布.

赵志文, M.S. Abdalroof, 盛丹姝. 定时截尾下具有缺失数据两个Rayleigh分布总体参数的估计和检验[J]. 吉林大学学报(理学版), 2013, 51(06): 1090-1094.

ZHAO Zhiwen, M.S. Abdalroof, SHENG Dan shu. Using the maximum likelihood method, the authors studied parameter estimation and hypothesis on the equality of two Rayleigh distribution parameters under type Ⅰ censoring sample with missing data. We discussed the limiting properties of the estimator. Moreover, statistic on testing equality of the parameters from two Rayleigh distributions and its limit distribution were given.[J]. Journal of Jilin University Science Edition, 2013, 51(06): 1090-1094.

定时截尾下具有缺失数据两个Rayleigh分布总体参数的估计和检验

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