A Computational Approach for Estimation of a Finite Population Mean   under Two-Phase Sampling in Presence of Two Auxiliary Variables

Manish Kumar; Sarvesh Kumar Dubey; V.N. Rai; B.V.S. Sisodia

doi:10.56093/jisas.v77i03.171457

Authors

Manish Kumar Acharya Narendra Deva University of Agriculture and Technology, Ayodhya
Sarvesh Kumar Dubey Acharya Narendra Deva University of Agriculture and Technology, Ayodhya
V.N. Rai Acharya Narendra Deva University of Agriculture and Technology, Ayodhya
B.V.S. Sisodia Acharya Narendra Deva University of Agriculture and Technology, Ayodhya

https://doi.org/10.56093/jisas.v77i03.171457

Keywords:

Auxiliary variable; Bias; Mean square error; Percent relative efficiency; Study variable; Two-phase sampling.

Abstract

In this paper, a transformed class of ratio-cum-product estimators has been developed for estimating the mean of a finite population using two auxiliary variables in two-phase sampling. The mathematical expressions for bias and mean square error (MSE) of the proposed class, as well as for the other pre-existing estimators, have been obtained to the first order of approximation. Some of the existing estimators are shown to be the members of the proposed class. The proposed class of estimators has been compared with the other existing estimators using the MSE criterion. The theoretical results have been empirically validated by using real population datasets, and also by conducting a simulation study.

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