EN
A new class of unbiased linear estimators in systematic sampling
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 effi cient than others.
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 effi cient than others.
Keywords
References
- Çıngı, H., Örnekleme Kuram, 3. Baskı, Bizim Büro Basmevi Yayn Dağ. Tic. Ltd. Şirketi, 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., Modi fied 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.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 1, 2017
Submission Date
June 23, 2016
Acceptance Date
July 25, 2016
Published in Issue
Year 2017 Volume: 46 Number: 2
APA
Koçyiğit, E. G., & Çıngı, H. (2017). A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics, 46(2), 315-323. https://izlik.org/JA22RJ94PT
AMA
1.Koçyiğit EG, Çıngı H. A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46(2):315-323. https://izlik.org/JA22RJ94PT
Chicago
Koçyiğit, Eda Gizem, and Hülya Çıngı. 2017. “A New Class of Unbiased Linear Estimators in Systematic Sampling”. Hacettepe Journal of Mathematics and Statistics 46 (2): 315-23. https://izlik.org/JA22RJ94PT.
EndNote
Koçyiğit EG, Çıngı H (April 1, 2017) A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics 46 2 315–323.
IEEE
[1]E. G. Koçyiğit and H. Çıngı, “A new class of unbiased linear estimators in systematic sampling”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 2, pp. 315–323, Apr. 2017, [Online]. Available: https://izlik.org/JA22RJ94PT
ISNAD
Koçyiğit, Eda Gizem - Çıngı, Hülya. “A New Class of Unbiased Linear Estimators in Systematic Sampling”. Hacettepe Journal of Mathematics and Statistics 46/2 (April 1, 2017): 315-323. https://izlik.org/JA22RJ94PT.
JAMA
1.Koçyiğit EG, Çıngı H. A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46:315–323.
MLA
Koçyiğit, Eda Gizem, and Hülya Çıngı. “A New Class of Unbiased Linear Estimators in Systematic Sampling”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 2, Apr. 2017, pp. 315-23, https://izlik.org/JA22RJ94PT.
Vancouver
1.Eda Gizem Koçyiğit, Hülya Çıngı. A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Apr. 1;46(2):315-23. Available from: https://izlik.org/JA22RJ94PT