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In this paper, we have proposed estimatorsof finite population mean using generalized Ratio- cum-product estimator fortwo-Phase sampling using multi-auxiliary variables under full, partial and noinformation cases and investigated their finite sample properties. An empiricalstudy is given to compare the performance of the proposed estimators with theexisting estimators that utilize auxiliary variables for finite populationmean. It has been found that the generalized Ra-tio-cum-product estimator in fullinformation case using multiple auxiliary variables is more efficient than meanper unit, ratio and product estimator using one auxiliary variable, ratio andproduct estimator using multiple auxiliary variable and ratio-cum-productestimators in both partial and no information case in two phase sampling. Ageneralized Ratio-cum-product estimator in partial information case is moreefficient than Generalized Ratio-cum-product estimator in No information case.

KEYWORDS

Ratio-Cum-Product Estimator, Multiple Auxiliary Variables, Two-Phase Sampling

Cite this paper

Kung’u, J. and Nderitu, J. 2016 Generalized Ratio-Cum-Product Estimators for Two-Phase Sampling Using Multi-Auxiliary Variables. Open Journal of Statistics, 6, 616-627. doi: 10.4236-ojs.2016.64052.





Author: John Kung’u, Joseph Nderitu

Source: http://www.scirp.org/



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