含缺失数据 Eichhorn 模型中的比估计插补

摘要

利用随机化技术进行敏感问题抽样调查中常会出现缺失数据，借鉴 Srivastava SK [Calc Stat Assoc Bull 16（1967）]在直接调查中利用辅助变量的构造估计量的思想，建立了具有数量特征的随机化Eichhorn模型中缺失数据的比插补方法。通过理论比较和数值模拟得出的结果表明提出的插补方法比传统的方法效率更高。%Missing data is often a problem under the randomized response technique .And the esti‐mator use of auxiliary variable was presented ,by Srivastava SK [Calc .Stat .Assoc Bull .16(1967)] ,using the idea in direct survey ,this paper proposes ratio imputation method concerning the Eichhorn and Hay‐re’s quantitative sensitive characteristic randomized response procedure in the presence of missing data . Theoretically ,the mean square error (MSE) of all proposed estimators are obtained .And it is shown that the proposed estimators are always more efficient than the traditional estimators .The merits of the suggested estimators have been examined through a numerical illustration .