Improved Exponential Type Estimators of the Mean of a Sensitive Variable in the Presence of Nonsensitive Auxiliary Information

Sat Gupta, Javid Shabbir, Rita Sousa, Pedro Corte-Real

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Recently, Koyuncu et al. (2013) proposed an exponential type estimator to improve the efficiency of mean estimator based on randomized response technique. In this article, 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 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.

Original languageEnglish
Pages (from-to)3317-3328
Number of pages12
JournalCommunications in Statistics: Simulation and Computation
Volume45
Issue number9
DOIs
Publication statusPublished - 20 Oct 2016

Keywords

  • Auxiliary variable
  • Bias
  • Exponential estimator
  • Mean square error (MSE)
  • Randomized response technique (RRT)

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