Estimation of population mean using multi-auxiliary characters with subsampling the nonrespondents

B. B.  Khare; R. R. Sinha

B. B. Khare Department of Statistics, Banaras Hindu University, Varanasi, India , R. R. Sinha Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India Statistics in Transition new series, vol. 12, 2011, 1, pages: 45-56 Published online: 1 August 2011

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ABSTRACT

The aim of this paper is to suggest a class of two phase sampling estimators for population mean using multi-auxiliary characters in presence of non-response on study character. The expressions for bias and mean square error are obtained. The condition for minimum mean square error of the proposed class of estimators has been given. The optimum values of the size of first phase sample, second phase sample and the sub sampling fraction of non-responding group have been determined for the fixed cost and for the specified precision. A comparative study of the proposed class of estimators has been carried out with an empirical study.

KEYWORDS

Population mean; Bias; Mean square error; Multi-auxiliary characters.

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