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An improved class of estimators in RR surveys
Author(s) -
Rueda Maria Del Mar,
Cobo Beatriz,
Arcos Antonio
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4256
Subject(s) - estimator , mathematics , class (philosophy) , extremum estimator , variable (mathematics) , population , econometrics , randomized response , m estimator , statistics , mathematical optimization , computer science , artificial intelligence , mathematical analysis , demography , sociology
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.