A general class of mean estimators  using mixture of auxiliary variables for two-phase sampling in the  presence of non-response

Zahoor  Ahmad; Rahma  Zubair; Ummara  Shahid

doi:https://doi.org/10.59170/stattrans-2014-033

A general class of mean estimators using mixture of auxiliary variables for two-phase sampling in the presence of non-response

Zahoor Ahmad Department of Statistics, University of Gujrat, Gujrat, Pakistan. , Rahma Zubair Department of Statistics, University of Gujrat, Gujrat, Pakistan. , Ummara Shahid Department of Statistics, University of Gujrat, Gujrat, Pakistan. Statistics in Transition new series, vol. 15, 2014, 4, pages: 501-524 Published online: 1 December 2014 https://doi.org/10.59170/stattrans-2014-033

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ABSTRACT

In this paper we have proposed a general class of estimators for two-phase sampling to estimate the population mean in the case when non-responses occur at the first phase. Furthermore, several continuous and categorical auxiliary variable(s) have been simultaneously used while constructing the class. Also, it is assumed that the information on all auxiliary variables is not available for population, which is often the case. The expressions of the mean square error of the suggested class have been derived and several special cases of the proposed class have been identified. The empirical study has also been conducted.

KEYWORDS

non-response, multi-auxiliary variables, regression-cum-ratio-exponential estimators, no information case.

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