A new class of unbiased linear estimators in systematic sampling

Authors : Eda Gizem KOÇYİĞİT, Hülya ÇINGI

Pages : 315-323

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Publication Date : 2017-04-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(1964); ratio estimator and Shukla`s insert ignore into journalissuearticles values(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