Hansen and Hurwitz estimator with scrambled response on the second call

作者：Diana Giancarlo; Riaz Saba^*; Shabbir Javid

来源：Journal of Applied Statistics, 2014, 41(3): 596-611.

DOI：10.1080/02664763.2013.846305

• scrambled response
• auxiliary information
• variance
• efficiency
• privacy protection

In this paper we propose a modified version of the estimator of Hansen and Hurwitz [12] in the case of quantitative sensitive variable and consider a randomization mechanism on the second call that provides privacy protection to the respondents to get truthful information. We use variance of the modified estimator as a tool to measure privacy protection and it is observed that the higher is the variance, the lower is the efficiency but the higher is the privacy protection. To overcome this efficiency loss, we consider a linear regression estimator using known non-sensitive auxiliary information. With consideration of four scrambled models, we try to make a trade-off between efficiency and privacy protection. To show this compromise, analytical and numerical comparisons are obtained.

• 出版日期2014-3-4