New class of exponential estimators for finite population mean in two-phase sampling

This paper suggests a new family of exponential estimators in the two-phase sampling using the information of an auxiliary attribute. Theoretically, we obtain the mean square error (MSE) for these estimators. We compare the MSE equations of the proposed exponential ratio families of estimators with the MSE equations of the ratio estimators in literature. As a result of these comparisons, we observe that the proposed families of estimators give more efficient results than the estimators in literature for the determined conditions obtained in theory. In addition, these theoretical results are supported by an application with original data sets.