定时截尾情形瑞利分布参数的估计和检验  

Parameter Estimation and Hypothesis Testing of Rayleigh distribution under type-∏ censoring

作　　者：刘银萍[1] 张雨嫡 秦青[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2015年第4期57-59,70,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家外国专家局项目(L20122200048)

摘　　要：本文对于定时截尾情况下瑞利分布参数的极大似然估计问题进行了讨论,证明了参数估计的强相合性质及渐近正态性质.所得结果对于其它的连续型分布的参数估计具有实际意义.The present paper dealed with the MLE of Rayleigh distribution under type-∏ censoring. The asymptotic normality and its strong consistency were proved,and the further asymptotic properties of estimation were given. These results have common and practical sense about the parameter estimation of other population distributions.

关 键 词：定时截尾 极大似然估计 极限分布 

分 类 号：O212.7[理学—概率论与数理统计]