A regression type estimator for mean estimation under ranked set sampling alongside the sensitivity issue

Year 2019, Volume: 68 Issue: 2, 2037 - 2049, 01.08.2019

Usman Shahzad , Muhammad Hanif Nursel Koyuncu , Amelia Victoria Garcia Luengo

https://doi.org/10.31801/cfsuasmas.586057

Cited By: 13

Abstract

Koyuncu and Kadilar <cite>kk.2009</cite> introduced a family of estimators under simple random sampling. In this article; we adapt these estimators for ranked set sampling. Further, we suggest a regression-type estimator of population mean utilizing available supplementary information under ranked set sampling scheme alongside the sensitivity issue when the variate of interest is sensitive. The bias and mean square error of the suggested estimator is determined theoretically for both situations. A simulation study has been done to demonstrate the percentage relative efficiency of proposed estimators over the adapted and reviewed estimators.

Keywords

Mean squared error, ranked set sampling, sensitivity, percentage relative efficiency

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