Generalized ratio-cum-product type exponential estimation of the population mean in median ranked set sampling

Abstract EN

This study presents a proposal to estimate the finite population's mean of the main variable by median ranked set sampling MRSS through the generalized ratio-cum-product type exponential estimator.

the relative bias PRB, mean squared error MSE, and percentage relative efficiencies pre of the proposed estimator is obtained to the first degree of approximation.

the proposed estimator are more efficient than the usual unbiased estimator, ratio, product type, and other estimators.

finally, the estimators' abilities are evaluated through simulations, showing that the proposed estimator is more efficient than several other estimators.