Title of article :
Generalized modified ratio-cum-product kind exponentially estimator of the populations mean in stratified ranked set sample
Author/Authors :
Ahmed, Rikan A. Department of Statistics and Informatics - Mosul University, Iraq , Hussein, Saja Mohammad Department of Statistics - Baghdad University, Baghdad, Iraq
Abstract :
In this study, we present a proposal aimed at estimating the finite population's mean of the main variable by stratification rank set sample StRSS through the modification made to generalized ratio-cum-product type exponential estimator. The relative bias PRB, Mean Squared Error Mse and percentage relative efficiencies PRE of the proposed modified estimator is obtained to the first degree of approximation. Conditions under which the proposed estimator is more efficient than the usual unbiased estimator, ratio, product type estimators, and some other estimators are obtained. Finally, the estimators' abilities are evaluated through the use of simulations, as showed that the proposed modified estimator is more efficient as compared to several other estimators.
Keywords :
Relative Bias , Mean square error , Percentage Relative Efficiency , Stratified ranked set sampling , ratio-cum-product type exponential estimator
Journal title :
International Journal of Nonlinear Analysis and Applications