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

Year 2018, Volume: 47 Issue: 1, 267 - 277, 01.02.2018

Housila P. Singh Surya K. Pal

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.

Keywords

Study variate, Auxiliary attribute, Population variance, Bias, Mean sqaured error

References

• 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.
• Adichwal, N. K., Sharma, P. and Singh, R. (2015): Estimation of nite population variances using auxiliary attribute. Jour. Adv. Comp., 4(2), 88-100.
• 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.
• 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.
• 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.
• Kendall, M. and Stuart, A. (1977): The advanced theory of statistics. I, Charles, Grin and Co. London.
• Koyuncu, N. (2012): Ecient estimators of population mean using auxiliary attributes.Appl. Math. Comp., 218, 10900-10905.
• Malik, S. and Singh, R. (2013): An improved estimator using two auxiliary attributes. Appl. Math. Comp., 219, 10983-10986.
• 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.
• Shabbir, J. and Gupta, S. (2007): On improvement in variance estimation using auxiliary information. Commun. Statist. Theo. Meth., 36(12), 2177 -2185.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Singh, H.P. and Solanki, R.S. (2013): Improved estimation of population variance using auxiliary information. Commun. Statist. Theo. Meth., 42, 2718-2730.
• 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.
• 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.
• Sukhatme P.V. and Sukhatme B.V. (1970): Sampling theory of surveys with applications. Iowa State University Press, Ames.
• 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.
• 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.