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.
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.
出处
《三峡大学学报(自然科学版)》
CAS
2011年第4期101-103,共3页
Journal of China Three Gorges University:Natural Sciences
基金
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)
关键词
缺失数据
极大似然估计
假设检验
渐近置信区间
missing data
maximum likelihood estimation
test of hypothesis
asymptotic confidence interval