Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 2

Hartley-Ross type unbiased estimators using the stratiffed random sampling

Pages
293–302
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Finally, we also demonstrate theoretical findings bythe support of numerical illustrations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study mentions Hartley-Ross type unbiased ratio estimators ofthe finite population mean in the stratiffed random sampling using theauxiliary variable.
📊
Key Findings & Data:We propose the unbiased estimators using the estimatorsin Kadilar and Cingi [5],[6].
💡
Conclusion & Impact:Finally, we also demonstrate theoretical findings bythe support of numerical illustrations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This study mentions Hartley-Ross type unbiased ratio estimators ofthe finite population mean in the stratiffed random sampling using theauxiliary variable. We propose the unbiased estimators using the estimatorsin Kadilar and Cingi [5],[6]. We derive the variance equations,up to the first degree of approximation, for all proposed estimators.The proposed estimators have been compared with the mentioned estimatorsin theory. Finally, we also demonstrate theoretical findings bythe support of numerical illustrations.

🔖

Cite This Article

ÇEKİM, H. Ö., KADİLAR, C. (2022). Hartley-Ross type unbiased estimators using the stratiffed random sampling. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 2, 293–302. https://ajindex.com/articles/529936

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. Singh, H. P., Sharma, B. and Tailor, R. Hartley-Ross type estimators for population mean using known parameters of auxiliary variate Communications in Statistics: Theory and Methods 43, 547-565, 2014.
  2. Pascual, J. N. Unbiased ratio estimators in stratiffed sampling Journal of the American Statistical Association 293 (5), 70-87, 1961.
  3. Khan, L., Shabbir, J. and Gupta, S. Unbiased ratio estimators of the mean in stratiffed ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.201610814857, 2016.
  4. Khan, L. and Shabbir, J. Hartley-Ross type unbiased estimators using ranked set sampling and stratiffed ranked set sampling North Carolina Journal of Mathematics and Statistics 2, 10-22, 2016.
  5. Khan, L. and Shabbir, J. A class of Hartley-Ross type unbiased estimators for population mean using ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.20156210579, 2016.
  6. Kadilar, C. and Cingi, H. A new ratio estimator in stratiffed sampling Communications in Statistics-Theory and Methods 34, 597602, 2005.
  7. Kadilar, C. and Cingi, H. Ratio estimators in stratiffed random sampling Biometrical Journal 45 (2), 218-225, 2003.
  8. Kadilar, C. and Cekim, H. O. Hartley-Ross type estimators in simple random sampling In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, AIP Publishing 1648 (610007), 1-4, 2015.
  9. Hartley, H. O. and Ross, A. Unbiased ratio estimators Nature 174, 270-272, 1954.
  10. Cingi, H., Kadilar, C. and Kocberber, G. Determination of the opportunities of the primary and the secondary schools in Turkey and suggestions to solve the determined problems (Turkey: TUBITAK, SOBAG106K077, 2007)
  11. Cochran, W. G. The estimation of yields of cereal experiments by sampling for ratio of grain to total produce J. Agricultural Sci 30, 262-275, 1940.