TR
EN
AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT
Abstract
We propose a class of ratio estimators for the estimation of population mean by adapting the estimators in Upadhyaya and Singh [7] to the estimator in Singh and Tailor [6]. We obtain mean square error (MSE) equations for all proposed estimators and find theoretical conditions that make each proposed estimator more efficient than the traditional estimators and ratio estimator in Singh and Tailor [6]. In addition, these conditions are satisfied with an application with original data
Keywords
References
- Cingi, H. ¨Ornekleme Kuramı(Hacettepe University Press, 1994).
- Cochran, W. G. Sampling Techniques (John Wiley and Sons, New-York, 1977).
- Kadilar, C. and Cingi, H. Ratio estimators in simple random sampling, Applied Mathematics and Computation 151, 893–902, 2004.
- Kadilar, C. and Cingi, H. Ratio estimators in stratified random sampling, Biometrical Journal 45(2), 218–225, 2003.
- Kadilar, C. and Cingi, H. A new ratio estimator in stratified random sampling, Communica- tions in Statistics: Theory and Methods 34 (3), 2005.
- Singh, H. P. and Tailor, R. Use of known correlation coefficient in estimating the finite population mean, Statistics in Transition 6 (4), 555–560, 2003.
- Upadhyaya, L. N. and Singh, H. P. Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal 41 (5), 627–636, 1999.
- Wolter, K. M. Introduction to Variance Estimation (Springer-Verlag, 2003).
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
January 1, 2006
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2006 Volume: 35 Number: 1
APA
Kadılar, C., Cingi, H., & Çıngı, H. (2006). AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT. Hacettepe Journal of Mathematics and Statistics, 35(1), 103-109. https://izlik.org/JA45PY84AW
AMA
1.Kadılar C, Cingi H, Çıngı H. AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT. Hacettepe Journal of Mathematics and Statistics. 2006;35(1):103-109. https://izlik.org/JA45PY84AW
Chicago
Kadılar, C., H. Cingi, and Hülya Çıngı. 2006. “AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT”. Hacettepe Journal of Mathematics and Statistics 35 (1): 103-9. https://izlik.org/JA45PY84AW.
EndNote
Kadılar C, Cingi H, Çıngı H (January 1, 2006) AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT. Hacettepe Journal of Mathematics and Statistics 35 1 103–109.
IEEE
[1]C. Kadılar, H. Cingi, and H. Çıngı, “AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT”, Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 1, pp. 103–109, Jan. 2006, [Online]. Available: https://izlik.org/JA45PY84AW
ISNAD
Kadılar, C. - Cingi, H. - Çıngı, Hülya. “AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT”. Hacettepe Journal of Mathematics and Statistics 35/1 (January 1, 2006): 103-109. https://izlik.org/JA45PY84AW.
JAMA
1.Kadılar C, Cingi H, Çıngı H. AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT. Hacettepe Journal of Mathematics and Statistics. 2006;35:103–109.
MLA
Kadılar, C., et al. “AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT”. Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 1, Jan. 2006, pp. 103-9, https://izlik.org/JA45PY84AW.
Vancouver
1.C. Kadılar, H. Cingi, Hülya Çıngı. AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT. Hacettepe Journal of Mathematics and Statistics [Internet]. 2006 Jan. 1;35(1):103-9. Available from: https://izlik.org/JA45PY84AW