Exponential Estimators Under Non-Response Cases

This study proposes new families of estimators for the estimation of the population mean using the Hansen-Hurwitz method. This method is examined in two cases, referred to as Case I and Case II. According to both cases, the expressions for the proposed family of estimators are derived. After theoretical comparisons, a new data set on the magnitude and a simulation study are conducted to support these theoretical results. As a consequence of this study, the proposed families of estimators perform well under the obtained conditions for both non-response schemes and can be used successfully in the field of seismology.