A revisit to the Singh, Horn, Singh and Mangat's randomization device for estimating a rare sensitive attribute using Poisson distribution

Subtitle:

Article type: Research Article

Authors: Singh, Housila P. | Tarray, Tanveer A.^*

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

Correspondence: [*] Corresponding author: Tanveer A. Tarray, School of Studies in Statistics, Vikram University, Ujjain 456010, India. E-mail: tanveerstat@gmail.com

Abstract: The crux of this paper is to estimate the mean of the number of persons possessing a rare sensitive attribute based on Singh et al. [24] randomization device by utilizing the Poisson distribution in survey sampling. It is also shown that the proposed models are more efficient than Land et al. [6] in both the cases when the proportion of persons possessing a rare unrelated attribute is known and that when it is unknown. Properties of the proposed randomized response model have been studied along with recommendations. Numerical illustrations are also given in support of the present study.

Keywords: Randomized response technique, estimation of proportion, rare sensitive characteristics, relative efficiency

DOI: 10.3233/MAS-140316

Journal: Model Assisted Statistics and Applications, vol. 10, no. 2, pp. 129-138, 2015