Generalized Power Transformed Robust Ratio Type Estimator: An Application to COVID-19

Abstract

The use of power transformed estimator results in higher precision in the estimation as these estimators provide a lesser MSE. Such precision is much appreciated when the population under study is rare or hidden clustered as with this population, getting a representative sample is difficult and when the precision of the estimate is paramount. To deal with such a situation, in this article we have proposed the first generalized power transformation robust type ratio estimator and from this, we have proposed sixteen power transformation robust type ratio estimators. Further, the performance of these estimators has been studied in estimating the average cases of COVID-19 in the Indian union territory of Andaman and Nicobar islands and the state of Goa with respect to some related estimators. The proposed estimators resulted in higher precision.