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Abstract

The present investigation deals with the problem of estimation of population variance in presence of random non-response in two-phase (double) sampling. Using information on two auxiliary variables, two general classes of estimators have been suggested in two different situations of random non-response and studied their properties under two different set up of two-phase sampling. It is shown that several estimators may be generated from our proposed classes of estimators. Proposed classes of estimators are empirically compared with some contemporary estimators of population variance under the similar realistic situations and their performances have been demonstrated through numerical illustration and graphical interpretation which are followed by suitable recommendations.

Keywords

Variance estimation Two-phase sampling random non-response study variable auxiliary variable bias mean square error

Article Details

Author Biographies

Arnab Bandyopadhyay, Department of Mathematics, Asansol Engineering College, Asansol-713305, India.

Assistant Professor, Department of Mathematics, Asansol Engineering College, Asansol-713305, India

Garib Nath Singh, Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India

Professor, Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
How to Cite
Bandyopadhyay, A., & Singh, G. N. (2015). Estimation of Population Variance in Two-Phase Sampling in Presence of Random Non-Response. Pakistan Journal of Statistics and Operation Research, 11(4), 525-542. https://doi.org/10.18187/pjsor.v11i4.1028