A new class of unbiased linear estimators in systematic sampling
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.46, no.2, pp.315-323, 2017 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 46 Issue: 2
- Publication Date: 2017
- Doi Number: 10.15672/hjms.2017.413
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.315-323
- Keywords: Systematic sampling, Ratio estimator, Product estimator, Unbiased, Efficiency
- Dokuz Eylül University Affiliated: No
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.