Admissible unbiased estimation of finite population variance under a randomized response model. Issue 20 (18th October 2018)

• Record Type: Journal Article
• Authors: Sengupta, S.
• Is Part Of: Communications in statistics. Volume 47:Issue 20(2018)
• Page Start: 5077
• Page End: 5082
• Publication Date: 2018-10-18
• Subjects: Admissibility -- Finite population variance -- Probability sampling design -- Quadratic unbiased estimator -- Randomized response model -- Sampling strategy -- Sensitive character; ; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2017.1386311
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: We consider the problem of estimation of a finite population variance related to a sensitive character under a randomized response model and prove (i) the admissibility of an estimator for a given sampling design in a class of quadratic unbiased estimators and (ii) the admissibility of a sampling strategy in a class of comparable quadratic unbiased strategies.