KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 5

A generalized class of difference type estimators for population median in survey sampling

Javid Shabbir
Sat Gupta
Sayfa
—
Yayın Tarihi
2017-10-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Numerical comparisons reveal that the proposed class of estimators performs better than the unbiased sample median estimator, ratio estimator, exponential estimator, usual difference estimator, Rao [10] estimator and other difference type estimators.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we propose a generalized class of difference type estimators of nite population median in simple and stratied random sampling.
📊
Temel Bulgular & Veri:The expressions for bias and mean square error are derived up to first order of approximation.
💡
Sonuç & Katkı:Numerical comparisons reveal that the proposed class of estimators performs better than the unbiased sample median estimator, ratio estimator, exponential estimator, usual difference estimator, Rao [10] estimator and other difference type estimators.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Auxiliary variable · Median · Bias

Abstract

In this paper, we propose a generalized class of difference type estimators of nite population median in simple and stratied random sampling. The expressions for bias and mean square error are derived up to first order of approximation. Numerical comparisons reveal that the proposed class of estimators performs better than the unbiased sample median estimator, ratio estimator, exponential estimator, usual difference estimator, Rao [10] estimator and other difference type estimators.

🔖

Bu Makaleye Atıf Yap

Shabbir, J., Gupta, S. (2017). A generalized class of difference type estimators for population median in survey sampling. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 5. https://ajindex.com/articles/1403012

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (15)

  1. Aczel, A. D. and Sounderpandian, J. Complete Business Statistics. tth ed., McGraw Hill, New York, 2004.
  2. Al. S. and Cingi, H. New estimators for the population median in simple random sampling, Proceedings of the Tenth Islamic Countries Conference on Statistical Sciences (ICCS-X), held in New Cairo, Egypt, 375-383, 2009.
  3. Aladag, S. and Cingi, H. Improvement in estimating the population median in simple random sampling and stratied random sampling using auxiliary information, Communications in Statistics-Theory and Methods, 44, 1013-132, 2015.
  4. Chen, Z., Bai, Z. and Sinha, B. K. Ranked Set Sampling: Theory and Applications, New York, Springer-Verlag, 2004.
  5. Gupta, S., Shabbir, J. and Ahmad, S. Estimation of median in two phase sampling using two auxiliary variables, Communications in Statistics-Theory and Methods, 37(11), 1815-1822, 2008.
  6. PDS Punjab Development Statistics, Bureau of Statistics, Government of the Punjab, La- hore, Pakistan, 2012.
  7. Jhajj, H. S., Kaur, H. and Walia, G. Efficient family of ratio-product type estimators of median, Model Assisted Statistics and Applications, 9, 277-282, 2014.
  8. Kuk, A.Y.C and Mak, T. K. Median estimation in the presence of auxiliary information, Journal of the Royal Statistical Society, B, 51, 261-269, 1989.
  9. MFA. Crops Area Production, Government of Pakistan, Ministry of Food, Agriculture and Livestock. Economic Wing, Islamabad, Pakistan, 2004.
  10. Rao, T. On certain methods of improving ratio and regression estimators, Communications in Statistics-Theory and Methods, 20 (10), 3325-3340, 1991.
  11. Shabbir, J. and Gupta, S. On improvement in variance estimation using auxiliary information, Communications in Statistics-Theory and Methods, 36 (12), 1-9, 2007.
  12. Sharma, P. and Singh, R. Generalized class of estimators for population median using auxiliary information, Hacettepe Journal of Mathematics and Statistics, 44(2), 443-453, 2015.
  13. Singh, S. Advances Sampling Theory and Applications: How Michael Selected Amy, Volumes I and II, Kluwer Academic Publishers, The Netherlands, 2003.
  14. Singh, H. P. and Solanki R. S. Some classes of estimators for the population median using auxiliary information, Communications in Statistics-Theory and Methods, 42, 4222-4238, 2013.
  15. Solanki, R. S. and Singh, H. P. Some classes of estimators for median estimation in survey sampling, Communications in Statistics-Theory and Methods, 44(7), 1450-1465, 2015.