An improved class of estimators in RR surveys | Zendy

Rueda Maria Del Mar | Zendy; Cobo Beatriz | Zendy; Arcos Antonio | Zendy

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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.

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