Estimation of Population Variance in Two-Phase Sampling in Presence of Random Non-Response

Arnab Bandyopadhyay, Garib Nath Singh

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

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DOI: http://dx.doi.org/10.18187/pjsor.v11i4.1028

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Title

Estimation of Population Variance in Two-Phase Sampling in Presence of Random Non-Response

Keywords

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

Description

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.


Date

2015-12-03

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 11 No. 4, 2015



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810