AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT

Year 2006, Volume: 35 Issue: 1, 103 - 109, 01.01.2006

C. Kadılar H. Cingi Hülya Çıngı

https://izlik.org/JA45PY84AW

Abstract

AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT

https://izlik.org/JA45PY84AW

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

Ratio estimator , Auxiliary variable , Simple random sampling , Efficiency , 2000 AMS Classification: 62 D 05

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).