A Class of Regression Type Estimators in Survey Sampling

• Authors: Misra Govind Charan , Yadav Subhash Kumar , Shukla Alok Kumar
• Languages of publication: EN

Abstracts

EN

A class of linear regression models has been proposed for the estimation of population mean and total when information regarding auxiliary variate is available in survey sampling using regression method of estimation by introducing a new auxiliary variable z, which may also be a function of the auxiliary variable x. The proposed model leads to reduction in mean squared error as compared to ordinary regression method of estimation. The improvement has been demonstrated over ordinary regression estimator and also on ratio estimator with the help of an empirical example.

Keywords

EN

Auxiliary variable; Mean Squared Error; Ratio estimator; Regression type estimators

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2011
• Volume: 12
• Issue: 3
• Pages: 579-586

Contributors

author

Misra Govind Charan

• D.A-V College

author

Yadav Subhash Kumar

• Dr R M L Avadh University

author

Shukla Alok Kumar

• D.A-V College

References

• COCHRAN, W.G. (1999). Sampling Techniques, John Wiley & Sons.
• DES RAJ (1972). The design of sampling surveys, McGraw-Hill, New York.
• EKPENYONG, E. J., OKONNAH, M.I. and JOHN, E.D. (2008), Polynomial (Non-linear) Regression.
• Method for Improved Estimation Based on Sampling, Journal of Applied Sciences, 8(8), 1597-1599.
• MISRA, G.C., SHUKLA, A.K. AND YADAV, S.K. (2009). A Comparison of Regression Methods for Improved Estimation in Sampling, Journal of reliability and statistical studies, Vol. 2, Issue2, 85-90.
• SUKHATME, P.V., SUKHATME, B.V., SUKHATME, S. and ASOK, C. (1984). Sampling Theory of Surveys with Applications, Indian Society of Agricultural Statistics. Sampath, S. (2005). Sampling Theory and Methods, Narosa Publishing House, India.