Calibration Estimator of a Rare Sensitive Attribute with Poisson Distribution

Abstract

In this paper we consider the calibration procedure for a rare sensitive attribute with Poisson distribution which suggested by Land et al. (2012) using auxiliary information associated with the variable of interest. In the calibration procedure, we can use auxiliary information such as socio-demographical variables for the respondents of rare sensitive attribute questions from an external source, and then this estimator can be improved with respect to the problems of non coverage or non response. From the efficiency comparison study, we show that the calibrated Poisson RR estimators are more efficient than that of Land et al. (2012), when the known population cell and marginal counts of auxiliary information are used for the calibration procedure.

Keywords:

• Calibration
• Poisson distribution
• Post-stratification
• Randomized response model
• Rare sensitive attribute

Mathematics Subject Classification:

• 62D05