具有测量误差和缺失数据的两个负二项分布总体参数估计与检验  

Parameter estimation and hypothesis testing of twoPascal distribution populations with measurement error and missing data

作　　者：赵志文[1] 屈美玉 殷明娥[2] ZHAO Zhi-wen;QU Mei-yu;YIN Ming-e(College of Mathematics,Jilin Normal University,Siping 136000,China;School of Mathematics,Liaoning Normal University,Dalian 116029,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000 [2]辽宁师范大学数学学院,辽宁大连116029

出　　处：《吉林师范大学学报（自然科学版）》2021年第4期31-35,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11571138)。

摘　　要：研究了在部分数据缺失且存在测量误差情况下,负二项分布总体参数估计问题以及两总体参数相等的假设检验问题,证明了参数矩估计量的强相合性以及渐近正态性;给出检验两总体参数相等的检验统计量,并考虑了检验统计量的极限性质;并对估计结果进行了随机模拟,进而说明估计的可行性.It was studied that parameter estimation and the hypothesis testing of two Pascal distribution population with measurement error and missing data and the confidence interval of the difference of the two population parameters was established.Moment estimation of the model parameters was given,which proved the estimators of the strong consistency and asymptotic normality and limiting distribution of the test statistics.Random simulations of the estimation results were also presented to illustrate the feasibility of the estimation.

关 键 词：负二项分布 缺失数据 测量误差 矩估计 假设检验 

分 类 号：O212.1[理学—概率论与数理统计]