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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2008 / Cilt: 37 - Sayı: 1

Variance estimation in simple random sampling using auxiliary information

Sat GUPTA
Javid SHABBIR
Sayfa
57–67
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Four numerical examples are considered to further evaluate the performance of these estimators.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we focus on investigating the precision of several variance estimators considered by different authors, such as those suggested by Isaki (Variance estimation using auxiliary information, J.
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Temel Bulgular & Veri:Assoc. 78, 117–123, 1983), and Kadilar and Cingi (Ratio estimators for population variance in simple and stratified sampling, Appl.
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Sonuç & Katkı:Four numerical examples are considered to further evaluate the performance of these estimators.
🔬Tür:Araştırma Makalesi
📍Kapsam:2006 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we focus on investigating the precision of several variance estimators considered by different authors, such as those suggested by Isaki (Variance estimation using auxiliary information, J. Amer. Stat. Assoc. 78, 117–123, 1983), and Kadilar and Cingi (Ratio estimators for population variance in simple and stratified sampling, Appl. Math. Comp. 173, 1047–1058 and Improvement in variance estimation using auxiliary information, Hacet. J. Math. Stat. 35 (1), 111–115, 2006). We propose a new hybrid class of estimators and show that in some cases their efficiency is better than the aforementioned traditional ratio and regression estimators of Isaki, and Kadilar and Cingi. Four numerical examples are considered to further evaluate the performance of these estimators.

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Bu Makaleye Atıf Yap

GUPTA, S., SHABBIR, J. (2022). Variance estimation in simple random sampling using auxiliary information. Hacettepe Journal of Mathematics and Statistics, Cilt: 37 - Sayı: 1, 57–67. https://ajindex.com/articles/530715

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Kaynakça (10)

  1. Cochran, W. G. Sampling Techniques, 3rd edn. (Wiley & Sons, 1977)
  2. Das, A. K. Contribution to the theory of sampling strategies based on auxiliarly information (Ph.D. thesis submitted to Bidhan Chandra Krishi Vishwavidyalaya, Mohanpur, Nadia, west Bengal, India, 1988)
  3. Garcia, M. R. and Cebrian, A. A. Repeated substitution method: the ratio estimator for the population variance, Metrika. 43, 101–105, 1996
  4. Isaki, C. T. Variance estimation using auxiliary information, Journal of American Statistical Association 78, 117–123, 1983
  5. Kadilar, C. and Cingi, H. Ratio estimators for population variance in simple and stratified sampling, Applied Mathematics and Computation 173, 1047–1058, 2006
  6. Kadilar, C. and Cingi, H. Improvement in variance estimation using auxiliary information, Hacettepe Journal of Mathematics and Statistics 35 (1), 111–115, 2006
  7. Kaur, P. An efficient regression type estimator in survey sampling, Biom. Journal 27 (1), 107–110, 1985
  8. Sahahi, A. and Ray, S. K. An efficient estimator using auxiliary information, Metrika 27, 271–275, 1980
  9. Shabbir, J. and Yaab, Z. Improvement over transformed auxiliary variables in estimating the finite population mean, Biometrical Journal 45 (6), 723–729, 2003
  10. Upadhyaya, L. N. and Singh, H. P. Almost unbiased ratio and product-type estimators of finite population variance in sample surveys, Statistics in Transition 7 (5), 1087–1096, 2006.