Research Article
BibTex RIS Cite

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

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

Abstract

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).

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

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

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

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).
There are 8 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

C. Kadılar This is me

H. Cingi This is me

Hülya Çıngı This is me

Publication Date January 1, 2006
Published in Issue Year 2006 Volume: 35 Issue: 1

Cite

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.
AMA Kadılar C, Cingi H, Çıngı H. AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT. Hacettepe Journal of Mathematics and Statistics. January 2006;35(1):103-109.
Chicago Kadılar, C., H. Cingi, and Hülya Çıngı. “AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT”. Hacettepe Journal of Mathematics and Statistics 35, no. 1 (January 2006): 103-9.
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 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, 2006.
ISNAD Kadılar, C. et al. “AN IMPROVEMENT IN ESTIMATING THE POPULATION MEAN BY USING THE CORRELATION COEFFICIENT”. Hacettepe Journal of Mathematics and Statistics 35/1 (January 2006), 103-109.
JAMA 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, 2006, pp. 103-9.
Vancouver 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):103-9.