Robust estimator for estimation of population mean under PPS sampling: Application to radiation data

When the population features are same, choosing the units with the help of simple random sampling (SRS). However, in situations while there is a significant variation in unit dimensions, the probability proportional to size (PPS) sampling approach might be implemented. The aim of this work was to bring a new estimator for mean estimation using PPS sampling. The efficiency of the estimators was demonstrated using radiation data, also apply simulation analysis. When comparing the proposed estimator to existing counterparts, the numerical result shows that recommended estimators performs better for estimating population means. Visual representations of the data further prove the validity of the proposed estimator. As a result, we are in favor of utilizing the proposed estimator and believe it can improve outcomes when estimating the populations mean using a PPS sampling method.