Ⅱ型截尾情形下泊松分布参数的估计  

Estimation of Poisson Distribution under Type-II Censoring

作　　者：刘银萍[1] 宋立新[1] 

机构地区：[1]吉林师范大学数学学院,吉林省四平136000

出　　处：《吉林大学学报（理学版）》2007年第6期941-944,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10271049)

摘　　要：利用Jensen不等式和Slutsky定理,讨论Ⅱ型截尾情形下泊松分布参数λ的极大似然估计问题,证明了估计的强相合性和渐近正态性,并给出估计的进一步渐进性质.The present paper deals with the MLE of poisson distribution under type-Ⅱ censoring by using Jensen inequality and slutsky theorem. The asymptotic normality and its strong consistency were proved, and the further asymptotic properties of estimation were given.

关 键 词：Ⅱ型截尾 极大似然 渐近性 

分 类 号：O212.5[理学—概率论与数理统计]