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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2008 / Cilt: 37 - Sayı: 2

New Generalized Estimators for the Population Variance Using Auxiliary Information

Hulya CİNGİ
Yesim Unyazıcı TURGUT
Sayfa
177–184
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We illustrate the results with anapplication using original data.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We suggest a generalized class of estimators for the population varianceusing an auxiliary variable.
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Temel Bulgular & Veri:A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition5(6), 887–908, 2002) proposed some generalized estimators for a population parameter.
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Sonuç & Katkı:We illustrate the results with anapplication using original data.
🔬Tür:Araştırma Makalesi
📍Kapsam:2002 Verileri
⚙️Değişkenler:Variance estimation · Ratio estimator · Auxiliary variable

Abstract

We suggest a generalized class of estimators for the population varianceusing an auxiliary variable. Triphati et al. (T.P. Tripathi, Singh, H.P.and Upadhyaya, L.N. A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition5(6), 887–908, 2002) proposed some generalized estimators for a population parameter. By adapting these estimators to population variance,we develop some estimators. We obtain the mean square error (MSE)equation of the proposed estimators. We illustrate the results with anapplication using original data.

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Bu Makaleye Atıf Yap

CİNGİ, H., TURGUT, Y. U. (2022). New Generalized Estimators for the Population Variance Using Auxiliary Information. Hacettepe Journal of Mathematics and Statistics, Cilt: 37 - Sayı: 2, 177–184. https://ajindex.com/articles/530717

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Kaynakça (7)

  1. Das, A.K. and Tripathi, T.P. Sampling strategies for population mean when coefficient of variation of an auxiliary character is known, Sankhya 42(C), 76–86, 1980.
  2. Kadırlar, C. and C¸ ıngı, H. Improvement in variance estimation using auxiliary information, Hacettepe Journal of Mathematics and Statistics 35(1), 111–115, 2006.
  3. Kadılar, C. and C¸ ıngı, H. Improvement in variance estimating in simple random sampling, Communications in Statistics: Theory and Methods 36(11), 2075–2081, 2007.
  4. Kendall, M. and Stuart, A. The advanced theory of statistics: Distribution Theory, Vol.1 (London:Griffin, 1963).
  5. Savcı, A.E. The bio-ecology of Centaurea Tchihatcheffii Fischer ve Meyer (Asteraceae) in the vicinity of Ankara-G¨olba¸sı, (M.Sc. Thesis (Turkish), Faculty of Science, Hacettepe University, Ankara, 2007).
  6. Tripathi, T.P., Singh, H.P. and Upadhyaya, L.N. A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition 5(6), 887– 908, 2002.
  7. Unyazıcı, Y. 2008, Variance estimation methods in some sampling designs (PhD. Thesis (Turkish), pp. 131, Faculty of Science, Hacettepe University, 2008).