IMPROVED RATIO-TYPE ESTIMATORS FOR POPULATION MEAN UNDER SIMPLE RANDOM SAMPLING
Keywords:
Estimation, Bias, Mean squared error, Efficiency, Sample size.Abstract
In this study, sample size and known population parameters were used to enhance the estimation of the population mean for the main variable under investigation. A new modified generalized ratio-type estimator for the population mean, along with its variants, were proposed, and their efficiencies were evaluated using two real data sets. The large-sample properties, biases, and mean squared errors (MSE) of the newly proposed estimators were approximated to the first order using Taylor’s series of expansion. The optimal values of the scalar parameters that minimize MSE were identified, and the corresponding minimum MSEs were computed.
References
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