比类型估计量在数量特征随机化回答技术中的应用  

Ratio Estimators' Application in the Quantitative Randomized Response Technique

作　　者：秦海军[1] 闫在在[1] 

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《数理统计与管理》2012年第6期1002-1009,共8页Journal of Applied Statistics and Management

基　　金：国家自然科学基金项目(10761004);内蒙古自然科学基金项目(2009MS0107);内蒙古人才基金项目(2007)资助

摘　　要：本文在数量特征随机化回答技术中当变异系数、偏度系数、峰度系数已知时,对总体均值提出了一系列比类型估计量,并且在一定条件下,证明了这些估计量优于Gupta et al.提出的估计量。In this paper, a series of ratio estimators for population mean is proposed by using the population coefficient of variation, the population coefficient of Kurtosis and the population coefficient of skewness, which are known, of auxiliary variable in the quantitative randomized response technique. And the proposed ratio estimators have smaller mean square error than the estimator obtained by use of the technique proposed by Gupta et al^[1].

关 键 词：比类型估计量 数量特征敏感变量 辅助变量 变异系数 偏度系数 峰度系数 

分 类 号：O175.4[理学—数学] O212[理学—基础数学]