A new class of unbiased linear estimators in systematic sampling

Yıl 2017, Cilt: 46 Sayı: 2, 315 - 323, 01.04.2017

Eda Gizem Koçyiğit , Hülya Çıngı

Öz

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.

Anahtar Kelimeler

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

Kaynakça

• Çıngı, H., Örnekleme Kuram, 3. Baskı, Bizim Büro Basmevi Yayn Dağ. Tic. Ltd. Ş“irketi, 223-255, 2009.
• Çıngı, H., Kadılar C., Advances in sampling theory-ratio method of estimation, Bentham Science Publishers, 2009.
• Cochran,W.G., Sampling Techniques, 3rd edition, New York: Wiley, Page: 150-186, 205- 231, 1977.
• İnal, C., Günay, S., Olasılık ve Matematiksel İstatistik, Hacettepe Üniversitesi Fen Fakültesi Yayınları, 2009.
• Madow, W. G., & Madow, L. H., On the theory of systematic sampling, I. The Annals of Mathematical Statistics, 15(1), 1-24, 1994.
• Shukla, N.D., Systematic sampling and product method of estimation, Proceeding of all India Seminar on Demography and Statistics. B.H.U., Varanasi, India, 1971.
• Singh, H. P., Tailor, R., & Jatwa, N. K., Modified ratio and product estimators for population mean in systematic sampling., Journal of Modern Applied Statistical Methods,10(2),4, 2011.
• Singh, R., Singh, H. P., Almost unbiased ratio and product-type estimators in systematic sampling, Questiio, 22 (3), 403-416, 1998.
• Swain, A.K.P.C., The use of systematic sampling in ratio estimate, Jour. Ind. Stat. Assoc., 2 (213), 160164, 1964.
• Quenouille, M. H., Notes on bias in estimation. Biometrika, 43(3/4), 353-360, 1956.