An Improvement in Estimation of Population Mean using Two Auxiliary Variables and Two- Phase Sampling Scheme under Non-Response

  • Manoj K. Chaudhary Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi, India
  • Amit Kumar Department of Statistics, University of Allahabad, Prayagraj, India
Keywords: Ratio and regression-type estimators, population mean, two-phase sampling scheme, auxiliary information, non-response

Abstract

In the present paper, we have proposed some improved ratio and regression-type estimators of the finite population mean utilizing the information on two auxiliary variables in the presence of non-response. The two-phase sampling scheme has been used to accomplish the job of estimating the desired parameter. The expressions for the basic properties such as bias and mean square error (MSE) of the proposed estimators have been derived up to the first order of approximation. A comparative study of the proposed estimators with some existing estimators has also been carried out through a real data set.

Author Biographies

Manoj K. Chaudhary, Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi, India

Manoj K. Chaudhary is a Professor (Associate) in the Department of Statistics at Banaras Hindu University, Varanasi, India. He has made significant contributions to the survey methodology and methods of estimation. He has published more than 45 research papers in internationally and nationally renowned journals.

Amit Kumar, Department of Statistics, University of Allahabad, Prayagraj, India

Amit Kumar is a Guest Faculty in the Department of Statistics at University of Allahabad, Prayagraj, India. He has made significant contributions to the survey methodology and methods of estimation. He has published more than 8 research papers in internationally and nationally renowned journals.

Published
2021-01-03
Section
Articles