A Study on the Bayes Linear Estimator for the 2-stage Randomized Response Models

2-단계 확률화응답모형에 대한 베이즈 선형추정량에 관한 연구

This paper describes the 2-stage randomized response model in the Bayesian view point. The classical Bayesian analysis needs the complete information for a prior density, but the Bayes linear estimator needs only the first and second moments. Therefore, it is convenient to find the estimator and this estimator robusts to a prior density. We show that MSE's of the Bayes linear estimators for the 2-stage randomized response models are smaller than those of the MLE's for the 2-stage randomized response models.