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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 1

An efficient new class of estimators of population variance using information on auxiliary attribute in sample surveys

Housila P. Singh
Surya K. Pal
Sayfa
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Yayın Tarihi
2018-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The theoretical findings are well supported through an empirical study.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper addresses the problem of estimating the population variance $S_y^2$ of the study variate $Y$ when information on an auxiliary attribute is available.
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Temel Bulgular & Veri:We have suggested a new class of estimators for the population variance  $S_y^2$ using information on an auxiliary attribute.
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Sonuç & Katkı:The theoretical findings are well supported through an empirical study.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Study variate · Auxiliary attribute · Population variance

Abstract

This paper addresses the problem of estimating the population variance $S_y^2$ of the study variate $Y$ when information on an auxiliary attribute is available. We have suggested a new class of estimators for the population variance  $S_y^2$ using information on an auxiliary attribute. It has been shown that the proposed class of estimators is more efficient than those estimators considered by [16], [19] and [23]. The theoretical findings are well supported through an empirical study.

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Bu Makaleye Atıf Yap

Singh, H. P., Pal, S. K. (2018). An efficient new class of estimators of population variance using information on auxiliary attribute in sample surveys. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 1. https://ajindex.com/articles/1402981

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Kaynakça (23)

  1. Abd-Elfattah, A.M., El-Sherpieny, E. A., Mohamed, S.M. and Abdou, O.F. (2010): Improvement in estimating the population mean in simple random sampling using information on auxiliary attribute.Appl. Math. Comp., 215, 4198-4202.
  2. Adichwal, N. K., Sharma, P. and Singh, R. (2015): Estimation of nite population variances using auxiliary attribute. Jour. Adv. Comp., 4(2), 88-100.
  3. Adichwal, N. K., Sharma, P., Verma, H.K. and Singh, R. (2015):Generalized class of estimators for estimating population variances using auxiliary attribute. Inter. Jour. Comp. Math., 1(3), 1-10.
  4. Asghar, A., Sanaullah, A. and Hanif, M. (2014): Generalized exponential-type estimator for population variance in survey sampling. Rev. Colomb. Estad., 37(1), 211-222.
  5. Jhajj, H.S., Sharma, M. K. and Grover, L.K. (2006): Families of estimators of population mean using information on auxiliary attribute. Pak. Jour. Statist., 22(1), 43-50.
  6. Kendall, M. and Stuart, A. (1977): The advanced theory of statistics. I, Charles, Grin and Co. London.
  7. Koyuncu, N. (2012): Ecient estimators of population mean using auxiliary attributes.Appl. Math. Comp., 218, 10900-10905.
  8. Malik, S. and Singh, R. (2013): An improved estimator using two auxiliary attributes. Appl. Math. Comp., 219, 10983-10986.
  9. Naik, V.D. and Gupta, P.C. (1996): A note on estimation of mean with known population proportion of an auxiliary character. Jour. Ind. Soc. Agri. Statist., 48(2), 151-158.
  10. Shabbir, J. and Gupta, S. (2007): On improvement in variance estimation using auxiliary information. Commun. Statist. Theo. Meth., 36(12), 2177 -2185.
  11. Sharma, P. and Singh, R. (2013): Ecient estimators of population mean in stratied random sampling using auxiliary attribute. World Appl. Sci. Jour., 27(12), 1786-1791.
  12. Sharma, P. and Singh, R. (2014):Improved ratio type estimators using two auxiliary variables under second order approximation. Math. Jour. Inter. Sci., 2(2), 193-214.
  13. Sharma, P., Singh, R. and Kim, J. M. (2013b): Study of some improved ratio-type estimators using information on auxiliary attributes under second order approximation. Jour. Sci. Res., 57, 138-146.
  14. Sharma, P., Verma, H., Sanaullah, A. and Singh, R. (2013a): A study of some exponential ratio-product type estimators using information on auxiliary attributes under second order approximation. Inter. Jour. Statist. Eco., 12(3), 58-66.
  15. Sharma, P., Verma, V. K. and Singh, R. (2015): An ecient class of estimators using two auxiliary attribute. Chilean Jour. Statist., 6(2), 59-68.
  16. Singh, R. and Kumar, M. (2011): A family of estimators of population variance using in- formation on auxiliary attribute. Studies in Sampling Techniques and Time Series Analysis. Zip Publish., 63-70.
  17. Singh, H.P. and Solanki, R.S. (2012): Improved estimation of population mean in simple random sampling using information on auxiliary attribute. Appl. Math. Comp., 218, 7798- 7812.
  18. Singh, H.P. and Solanki, R.S. (2013): Improved estimation of population variance using auxiliary information. Commun. Statist. Theo. Meth., 42, 2718-2730.
  19. Singh, R. and Malik, S. (2014): Improved estimation of population variance using information on auxiliary attribute in simple random sampling. Appl. Math. Comp., 235, 43-49.
  20. Singh, R., Chauhan, P., Swain, N. and Smarandache, F. (2008):Ratio estimators in simple random sampling using information on attribute. Pak. Jour. Statist. Opera. Res., 4(1), 47-53.
  21. Sukhatme P.V. and Sukhatme B.V. (1970): Sampling theory of surveys with applications. Iowa State University Press, Ames.
  22. Verma, H.K., Sharma, P. and Singh, R. (2015): Some families of estimators using two auxiliary variables in stratied random sampling. Rev. Invest. Opera., 36(2), 140-150.
  23. Yadav, S. K. and Pandey, H. (2012):Improved family of estimators for population variance using qualitative auxiliary information. Assam Statist. Rev., 26 (1-2), 63-70.