EFFICIENT FAMILY OF EXPONENTIALESTIMATORS FOR THE POPULATIONMEAN

Year 2013, Volume: 42 Issue: 6, 671 - 677, 01.06.2013

Subhash Kumar Yadav Cem Kadılar

Abstract

This paper deals with the estimation of the population mean with improved family of exponential estimators for the variable under studyusing some known population parameters of the auxiliary variable. Theexpressions for the bias and mean square error (MSE) of the estimatorsof the proposed family have been derived to the first degree of approximation. A comparison has been made with the exponential family ofestimators of Singh et al. [10]. An improvement has been shown overthe family of estimators of Singh et al. [10] through an empirical study.

Keywords

Exponential estimator, auxiliary variable, bias, mean square error, efficiency.

EFFICIENT FAMILY OF EXPONENTIALESTIMATORS FOR THE POPULATIONMEAN

Abstract

-

Keywords

-

References

• Bahl, S. and Tuteja, R.K. Ratio and product type exponential estimator, Information and Optimization Sciences XII (I), 159-163, 1991.
• Cochran, W.G. The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce, Jour. Agri. Sci. 59, 1225-1226, 1940.
• Kadilar, C. and Cingi, H. A new ratio estimator using correlation coefficient, InterStat 12 (3), 1-11, 2006. http://interstat.statjournals.net/YEAR/2006/articles/0603004.pdf
• Kadilar, C. and Cingi, H. Improvement in estimating the population mean in simple random sampling, Applied Mathematics Letters 19, 75-79, 2006.
• Khoshnevisan, M. Singh, R. Chauhan, P. Sawan, N. and Smarandache, F. A general family of estimators for estimating population mean using known value of some population parameter(s), Far East Journal of Theoretical Statistics 22 (2), 181-191, 2007.
• Koyuncu, N. and Kadilar, C. Efficient estimators for the population mean, Hacettepe Journal of Mathematics and Statistics 38 (2), 217-225, 2009.
• Sen, A.R. Estimation of the population mean when the coefficient of variation is known, Comm. Stat.- Theory Methods A7, 657-672, 1978.
• Singh, H.P. and Kakran, M.S. A modified ratio estimator using coefficient of variation of auxiliary character, unpublished, 1993.
• Singh, H.P. and Tailor, R. Use of known correlation coefficient in estimating the finite population mean, Statistics in Transition 6 (4), 555-560, 2003.
• Singh, R., Chauhan, P., Sawan, N. and Smarandache, F. Improvement in estimating the population mean using exponential estimator in simple random sampling, Bulletin of Statistics and Economics 3, 13-18, 2009.
• Sisodia, B.V.S. and Dwivedi, V.K., A modified ratio estimator using coefficient of variation of auxiliary variable, Jour. Ind. Soc. Agri. Stat. 33, 13-18, 1981.
• Upadhyaya, L.N. and Singh, H. P. On the estimation of population mean with known coefficient of variation. Biometrical Journal 26, 915–922, 1984.
• Upadhyaya, L.N., Singh, H.P., Chatterjee S., and Yadav R. Improved ratio and product exponential type estimators. Journal of Statistical Theory and Practice 5 (2), 285-302, 2011.