KUK随机化调查模型下的贝叶斯估计

Bayesian Estimation under KUK Randomized Survey Model

本文针对属性特征的KUK模型建立了贝叶斯估计理论,求出了在先验分布是混合贝塔先验分布、抽样方法是简单随机抽样情况下总体敏感特征比例的贝叶斯估计,并且使用后验均方误差作为精度标准,对贝叶斯估计与极大似然估计进行比较。

In this paper,we have established the Bayesian estimation theory for the qualitative characteristics randomized response model proposed by Kuk（1990）.We obtained the Bayesian estimation of population proportion of a sensitive characteristic as prior information is mixture of Beta distributions and sampling method is simple random sampling.And to compare Bayesian estimation to classical maximum likelihood estimation by means of posterior mean square error as the precision measure.