Estimators for Population Mean in Adaptive Cluster Sampling

Abstract

In this article,we propose modified ratio estimators to estimate finite population mean under adaptive cluster sampling when initial sample is taken by simple random sampling without replacement. The estimators utilize information on known parameters of auxiliary variable. Mean square error equations for proposed estimators are obtained up to first degree of approximation. Proposed estimators are more efficient than estimators proposed by Thompson (1990) and Chutiman (2013) under certain realistic conditions. Simulation study is carried out to support the theoretical findings.