A new class of unbiased linear estimators in systematic sampling

Year 2017, Volume: 46 Issue: 2, 315 - 323, 01.04.2017

Eda Gizem Koçyiğit , Hülya Çıngı

Abstract

Use of auxiliary variables is very common in estimating various population parameters. In this study, we suggest a class of unbiased linear estimators for estimating the population mean of the study variate y using information on the auxiliary variate x in systematic sampling. The
variance expressions of the suggested estimators are compared with usual unbiased estimator, Swain's (1964) ratio estimator and Shukla's
(1971) product type estimator. It is demonstrated that the proposed estimators are more efficient than others.

Keywords

Systematic sampling, Ratio estimator, Product estimator, Unbiased, Efficiency

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