Total Estimation in Three Frame Survey

In surveys from finite populations usually a probability sample is selected from a sampling frame containing all the units in the target population. In some cases the frame that is available cannot cover target population completely so survey statistics from these frames are bias. On the other hand updating the frame that is available is too expensive. Multiple frame survey can be used to increase population coverage, reduce bias and decrease costs. In multiple frame surveys samples are drown independently from overlapping multiple frames so that these frames give an appropriate coverage of the target population. Several estimators for population total in multiple frame surveys are discussed. In this article we introduce these estimators in a simulation study, we compare performance of different total estimators.