Improved exponential ratio-cum-regression type estimators under stratified random sampling for population mean
DOI:
https://doi.org/10.21015/vtm.v13i2.2054Keywords:
Proportion, MSE, Attributes, Efficiency, AncillaryAbstract
This research introduces a distinctive class of exponential ratio-cum-regression estimators under the technique of stratified random sampling (STRS) , designed for the efficient assessment of the population mean by incorporating dual concomitant variables (CV). Six refined estimators are introduced, by deriving their mean square error (MSE) through the approximation of first-order. These derivations are carried out through Taylor expansion technique. Their performance is systematically assessed against existing alternatives based on the MSE criterion. Theoretical developments supported by empirical evidence, and reveal that the proposed estimators consistently offer reduced MSE and enhanced percentage relative efficiency (PRE) over conventional methods.
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