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Calibration Approach Alternative Ratio Estimator for Population Mean in Stratified Sampling

Etebong P. Clement, Ekaette I. Enang

Abstract


This paper develops the theory of calibration estimation for ratio estimator and proposes calibration approach alternative ratio estimator for population mean of the study variable y using auxiliary variable x in stratified sampling. The bias and variance of the proposed estimator have been derived under large sample approximation. Asymptotic optimum estimator (AOE) and its approximate variance estimator are derived. An empirical study to evaluate the relative performances of the proposed estimator against members of its class is carried out.

Keywords


Asymptotic optimum estimator, alternative ratio estimator, auxiliary variable, calibration approach, optimality conditions, stratified sampling, study variable.

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