两指数总体带缺失数据的参数估计和检验

Estimation and Test for Two Exponential Populations with Missing Data

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.