2个负二项分布总体具有部分缺失数据的参数估计  

Parameter estimation of two Pascal populations with partially missing data

作　　者：李建丽[1] LI Jian-li(Department of Mathematics,Changzhi University,Changzhi 046011,China)

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《云南民族大学学报（自然科学版）》2018年第5期399-402,共4页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：山西省高等学校教学改革创新项目(J2016111);长治学院科研项目(201605);长治学院教改项目(JC201814)

摘　　要：研究了2个负二项分布总体均具有部分缺失数据且缺失概率相同时的参数的MLE,并进一步证明了参数估计的强相合性和渐进正态性,同时探讨了2参数差的近似置信区间,最后并对估计结果进行了随机模拟,进而说明估计的可行性.The paper discusses the maximum likelihood estimation of two Pascal populations with partially missing data and the same missing probability. Further, it proves the strong consistency and asymptotie normality of the estimation, and presents nearly confidence interval of two parameter differences. Finally, the feasibility of the estimation is proved by simulation with the estimation.

关 键 词：负二项分布 缺失数据 MLE 置信区间 

分 类 号：O212[理学—概率论与数理统计]