An improved scrambled model for estimating the mean of a sensitive character

Article type: Research Article

Authors: P. Singh, Housila | Patidar, Preeti^*

Affiliations: School of Studies in Statistics, Vikram University, Ujjain, India

Correspondence: [*] Corresponding author: Preeti Patidar, School of Studies in Statistics, Vikram University, Ujjain, India. %****␣mas-16-mas210521_temp.tex␣Line␣25␣**** E-mail: [email protected].

Abstract: This paper suggests a new randomized response model useful for gathering information on quantitative sensitive variable such as drug usage, tax evasion and induced abortions etc. The resultant estimator has been found to more efficient than the estimator of the Saha (2007) under some realistic conditions. We have illustrated results numerically.

Keywords: Bias, variance, scrambled response model, sensitive variable, estimation of mean

DOI: 10.3233/MAS-210521

Journal: Model Assisted Statistics and Applications, vol. 16, no. 2, pp. 87-95, 2021