Development of chain-type  exponential estimators for population variance in two-phase sampling design  in presence of random non-response

G. N.  Singh; Amod  Kumar; Gajendra K.  Vishwakarma

doi:https://doi.org/10.21307/stattrans-2018-031

Development of chain-type exponential estimators for population variance in two-phase sampling design in presence of random non-response

G. N. Singh Department of applied Mathematics, Indian Institute of Technology (ISM) Dhanbad, Jharkhand-826004, India , Amod Kumar Department of applied Mathematics, Indian Institute of Technology (ISM) Dhanbad, Jharkhand-826004, India , Gajendra K. Vishwakarma Department of applied Mathematics, Indian Institute of Technology (ISM) Dhanbad, Jharkhand-826004, India Statistics in Transition new series, vol. 19, 2018, 4, pages: 575-596 Published online: 3 December 2018 https://doi.org/10.21307/stattrans-2018-031

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ABSTRACT

In this paper, an investigation has been carried out to deal with a unified approach of estimation procedures of population variance in two-phase sampling design under missing at random non-response mechanism circumstances. Using two auxiliary variables, we have developed different chain-type exponential estimators of finite population variance for two different set-ups and studied their properties under the different assumption of random non-response considered by Tracy and Osahan (1994). The comparisons of the proposed estimators have been made with some contemporary estimators of population variance under the similar realistic conditions. Numerical illustrations are presented to support the theoretical results. Results are analysed and suitable recommendations are put forward to the survey statisticians.

KEYWORDS

two-phase sampling, random non-response, variance estimation, study variable, auxiliary information, bias, mean square error

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