Polish Statistical Association

Central Statistical Office of Poland

**Subject:** Economics, Statistics & Probability

**ISSN:** 1234-7655

**eISSN:** 2450-0291

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

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

**Citation Information : **
Statistics in Transition New Series. Volume 19,
Issue 4,
Pages 575-596,
DOI: https://doi.org/10.21307/stattrans-2018-031

**License : **
(CC BY-NC-ND 4.0)

**Published Online: ** 15-March-2019

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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.

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