Improved exponential type estimators of the mean of a sensitive variable in the presence of non-sensitive auxiliary information

TitleImproved exponential type estimators of the mean of a sensitive variable in the presence of non-sensitive auxiliary information
Publication TypeJournal Article
Year of Publication2015
AuthorsGupta S, Shabbir J, Sousa R, Corte-Real P
JournalCommunications in Statistics - Simulation and Computation
Pagination00-00
Abstract

AbstractRecently Koyuncu et al. (2013) proposed an exponential type estimator to improve the efficiency of mean estimator based on RRT. In this paper, we propose an improved exponential type estimator which is more efficient than the Koyuncu et al. (2013) estimator, which in turn was shown to be more efficient than the usual mean estimator, ratio estimator, regression estimator, and the Gupta et al. (2012) estimator. Under simple random sampling without replacement (SRSWOR) scheme, bias and mean square error (MSE) expressions for the proposed estimator are obtained up to first order of approximation and comparisons are made with the Koyuncu et al. (2013) estimator. A simulation study is used to observe the performances of these two estimators. Theoretical findings are also supported by a numerical example with real data. We also show how to extend the proposed estimator to the case when more than one auxiliary variable is available.

URLhttp://dx.doi.org/10.1080/03610918.2014.941487
DOI10.1080/03610918.2014.941487
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