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两指数总体带缺失数据的参数估计和检验
引用本文:苏曦,郭鹏江,夏志明.两指数总体带缺失数据的参数估计和检验[J].三峡大学学报(自然科学版),2011,33(4):101-103.
作者姓名:苏曦  郭鹏江  夏志明
作者单位:西北大学数学系,西安,710127
基金项目:国家自然科学基金专项基金项目(11026135); 陕西省13115科技创新工程(2009ZDTG-85)
摘    要:本文讨论了含有缺失数据的两个服从指数总体的参数估计和检验,证明了该估计的强相合性与渐近正态性,给出了两组对比检验的检验统计量.讨论了基于极限分布的检验问题,并且在此基础上给出了总体参数差的渐近置信区间.

关 键 词:缺失数据  极大似然估计  假设检验  渐近置信区间

Estimation and Test for Two Exponential Populations with Missing Data
Su Xi,Guo Pengjiang,Xia Zhiming.Estimation and Test for Two Exponential Populations with Missing Data[J].Journal of China Three Gorges University(Natural Sciences),2011,33(4):101-103.
Authors:Su Xi  Guo Pengjiang  Xia Zhiming
Institution:Su Xi Guo Pengjiang Xia Zhiming (Department of Mathematics,Northwest Univ.,Xi'an 710127,China)
Abstract:The maximum likelihood estimation and the test for parameters of two exponential populations both with missing data are discussed.The strong consistency and asymptotic normality of estimators are both proved by Slutsky theorem.The test of hypothesis of the populations and the confidence interval of the difference between two parameters are also given based on the limit distribution discussed in this paper.
Keywords:missing data  maximum likelihood estimation  test of hypothesis  asymptotic confidence interval  
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