Admissible and optimal sampling strategy for estimating finite population mean in randomized response surveys with multiple responses. Issue 21 (1st November 2016)

• Record Type: Journal Article
• Authors: Sengupta, S.
• Is Part Of: Communications in statistics. Volume 45:Issue 21(2016)
• Page Start: 6223
• Page End: 6228
• Publication Date: 2016-11-01
• Subjects: Admissibility -- Complete class -- Linear unbiased strategy -- Multiple responses -- Optimal strategy -- Population mean -- Population proportion -- Randomized response -- Super-population model; 62D05 -- 62C15; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.957859
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: We consider the problem of estimation of a finite population mean (or proportion) related to a sensitive character under a randomized response model when independent responses are obtained from each sampled individual as many times as he/she is selected in the sample and prove the admissibility of a sampling strategy in a class of comparable linear unbiased strategies. We prove that the admissible strategy is also optimal in this class under a super-population model.