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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 35 Issue: 1

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

C. Kadılar
H. Cingi
Hülya Çıngı
Pages
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Publication Date
2006-01-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, these conditions are satisfied with an application with original data

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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].
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Key Findings & Data: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].
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Conclusion & Impact:In addition, these conditions are satisfied with an application with original data
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ratio estimator · Auxiliary variable · Simple random sampling

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

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Cite This Article

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, Volume: 35 Issue: 1. https://ajindex.com/articles/1403813

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References (8)

  1. Cingi, H. ¨Ornekleme Kuramı(Hacettepe University Press, 1994).
  2. Cochran, W. G. Sampling Techniques (John Wiley and Sons, New-York, 1977).
  3. Kadilar, C. and Cingi, H. Ratio estimators in simple random sampling, Applied Mathematics and Computation 151, 893–902, 2004.
  4. Kadilar, C. and Cingi, H. Ratio estimators in stratified random sampling, Biometrical Journal 45(2), 218–225, 2003.
  5. Kadilar, C. and Cingi, H. A new ratio estimator in stratified random sampling, Communica- tions in Statistics: Theory and Methods 34 (3), 2005.
  6. 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.
  7. 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.
  8. Wolter, K. M. Introduction to Variance Estimation (Springer-Verlag, 2003).