TY - JOUR T1 - AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT TT - AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT AU - Kadılar, C. AU - Cingi, H. AU - Çıngı, Hülya PY - 2006 DA - January JF - Hacettepe Journal of Mathematics and Statistics PB - Hacettepe University WT - DergiPark SN - 2651-477X SP - 103 EP - 109 VL - 35 IS - 1 LA - en AB - 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 KW - Ratio estimator KW - Auxiliary variable KW - Simple random sampling KW - Efficiency KW - 2000 AMS Classification: 62 D 05 CR - Cingi, H. ¨Ornekleme Kuramı(Hacettepe University Press, 1994). CR - Cochran, W. G. Sampling Techniques (John Wiley and Sons, New-York, 1977). CR - Kadilar, C. and Cingi, H. Ratio estimators in simple random sampling, Applied Mathematics and Computation 151, 893–902, 2004. CR - Kadilar, C. and Cingi, H. Ratio estimators in stratified random sampling, Biometrical Journal 45(2), 218–225, 2003. CR - Kadilar, C. and Cingi, H. A new ratio estimator in stratified random sampling, Communica- tions in Statistics: Theory and Methods 34 (3), 2005. CR - 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. CR - 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. CR - Wolter, K. M. Introduction to Variance Estimation (Springer-Verlag, 2003). UR - https://dergipark.org.tr/en/pub/hujms/article/101628 L1 - https://dergipark.org.tr/en/download/article-file/86965 ER -