An improved class of estimators in RR surveys. (7th December 2016)

• Record Type: Journal Article
• Authors: Rueda, Maria Del Mar; Cobo, Beatriz; Arcos, Antonio
• Other Names: Vigo‐Aguiar Jesus guestEditor.; Garcia Rubio Raquel guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 6(2018)
• Page Start: 2307
• Page End: 2318
• Publication Date: 2016-12-07
• Subjects: auxiliary information -- randomized response technique -- Horvitz–Thompson estimator; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4256
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This work proposes a general class of estimators for the population total of a sensitive variable using auxiliary information. Under a general randomized response model, the optimal estimator in this class is derived. Design‐based properties of proposed estimators are obtained. A simulation study reflects the potential gains from the use of the proposed estimators instead of the customary estimators. Copyright © 2016 John Wiley & Sons, Ltd.