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

Hartley-Ross type unbiased estimators using the stratiffed random sampling

Hatice ÖNCEL ÇEKİM
Cem KADİLAR
Sayfa
293–302
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study mentions Hartley-Ross type unbiased ratio estimators ofthe finite population mean in the stratiffed random sampling using theauxiliary variable.
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Temel Bulgular & Veri:We propose the unbiased estimators using the estimatorsin Kadilar and Cingi [5],[6].
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Sonuç & Katkı:Finally, we also demonstrate theoretical findings bythe support of numerical illustrations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

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Bu Makaleye Atıf Yap

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

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Kaynakça (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.