A Ratio-Cum-Product Type Exponential Estimator Using Double Sampling for Stratification

Gajendra K. Vishwakarma (vishwagk@rediffmail.com)
Indian Institute of Technology (ISM) Dhanbad
Sayed Mohammed Zeeshan (zeeshan008x52@gmail.com)
Indian Institute of Technology (ISM) Dhanbad


This paper proposes an improved class of ratio-cum-product type exponential estimator for estimating the finite population mean of the study variate (when sampling of study variate is costly or difficult to fetch). The proposed estimator uses two auxiliary variates associated with study variate in order to increase its efficiency under the double sampling for stratification scheme. The expression for the bias and mean square error (MSE) of the proposed estimator are obtained under large sample approximation. Efficiency comparisons are made to demonstrate the performance of the proposed estimation procedure over the existing estimation procedures. We have considered the six natural population data-sets to examine the merits of the proposed estimator and carried out the empirical study in support of theoretical findings. Numerical illustration shows that the proposed estimator is more efficient.

Keywords: Auxiliary variate, Study variate, Double sampling for stratification, Estimator, MSE.
JEL Classification: C13, C46

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Romanian Statistical Review 2/2018