A two-stage unrelated randomized response model for estimating a rare sensitive attribute in probability proportional to size sampling using Poisson distribution. Issue 15 (3rd August 2018)

• Record Type: Journal Article
• Authors: Singh, G. N.; Singh, C.; Suman, S.; Kumar, A.
• Is Part Of: Communications in statistics. Volume 47:Issue 15(2018)
• Page Start: 3744
• Page End: 3766
• Publication Date: 2018-08-03
• Subjects: Randomized response method -- rare sensitive attribute -- rare unrelated attribute -- Poisson distribution -- probability proportional to size (pps) sampling.; 62D05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2017.1361992
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: This paper describes the estimating procedures of mean number of entities that possess a rare sensitive attribute using the Mangat (1992) randomized device, when the population consists of some clusters and the population is again stratified with some clusters in each stratum. Unbiased estimation procedures for the mean number of individuals have been discussed and their properties are described when the parameter of a rare unrelated attribute is assumed to be known and unknown. An empirical study is carried out to show the dominance of the proposed estimator over Lee et al. (2013) estimator.