- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 2
- A new class of unbiased linear estimators in systematic sampling
A new class of unbiased linear estimators in systematic sampling
Authors : Eda Gizem Koçyiğit, Hülya Çingi
Pages : 315-323
View : 15 | Download : 10
Publication Date : 2017-04-01
Article Type : Research
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