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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 2

Hartley-Ross type unbiased estimators using the stratified random sampling

Hatice Oncel Cekim
Cem Kadilar
Sayfa
—
Yayın Tarihi
2017-04-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study mentions Hartley-Ross type unbiased ratio estimators of the finite population mean in the stratified random sampling using the auxiliary variable.
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Temel Bulgular & Veri:We propose the unbiased estimators using the estimators in Kadilar and Cingi [5],[6].
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Sonuç & Katkı:Finally, we also demonstrate theoretical findings by the support of numerical illustrations.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:ratio estimator · unbiased estimator · auxiliary information

Abstract

This study mentions Hartley-Ross type unbiased ratio estimators of the finite population mean in the stratified random sampling using the auxiliary variable. We propose the unbiased estimators using the estimators in 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 estimators in theory. Finally, we also demonstrate theoretical findings by the support of numerical illustrations.

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Bu Makaleye Atıf Yap

Cekim, H. O., Kadilar, C. (2017). Hartley-Ross type unbiased estimators using the stratified random sampling. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 2. https://ajindex.com/articles/1403053

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Kaynakça (11)

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  3. Hartley, H. O. and Ross, A. Unbiased ratio estimators Nature 174, 270272, 1954.
  4. 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 Mathemat- ics, AIP Publishing 1648 (610007), 1-4, 2015.
  5. Kadilar, C. and Cingi, H. Ratio estimators in stratified random sampling Biometrical Journal 45 (2), 218-225, 2003.
  6. Kadilar, C. and Cingi, H. A new ratio estimator in stratied sampling Communications in Statistics-Theory and Methods 34, 597602, 2005.
  7. Khan, L. and Shabbir, J. A class of Hartley-Ross type unbiased estimators for popu- lation mean using ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.20156210579, 2016.
  8. Khan, L. and Shabbir, J. Hartley-Ross type unbiased estimators using ranked set sampling and stratified ranked set sampling North Carolina Journal of Mathematics and Statistics 2, 10-22, 2016.
  9. Khan, L., Shabbir, J. and Gupta, S. Unbiased ratio estimators of the mean in stratified ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.201610814857, 2016.
  10. Pascual, J. N. Unbiased ratio estimators in stratified sampling Journal of the American Statistical Association 293 (5), 70-87, 1961.
  11. 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.