Abstract
Estimation of the population mean or population total is considered. A new calibration estimator with a new likelihood function is proposed. The resultant estimator derives from the two-step calibration by Singh and Sedory (2013, 2016). The resultant estimator takes the form of Searls’ (1964) estimator. The Berger and De La Riva Torres (2016) methodology is shown to be a special case of the proposed power method of calibration. Conditional estimators of the mean squared errors of the empirical likelihood estimator and the proposed estimators are developed and investigated through extensive simulation study following Breidt and Opsomer (2000) and Breidt et al. (2016).
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