Estimation of a ratio for general inverse sampling designs

In this article, we develop a consistent estimator of a ratio when the implemented sampling design is a general inverse sampling (Salehi and Seber, 2004). Using Taylor expansion an approximate variance estimator and its asymptotic unbiased population and a real life population are simulated. We compute its relative efficiency ever Simple Random Sample (SRS) estimator of ratio. The result show that the developed estimator of ratio is more efficient than its counterpart of SRS.

Keywords:

Multivariate Truncated Inverse Sampling (MVTIS) , Ratio estimator , Murthy’ estimator , Taylor’s expansion.