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Estimation of Population Mean in the Presence of Nonresponse and Measurement Errors Under Double Sampling for Stratification

Onyango O. Ronald, Oduor Brian, Odundo Francis


The present study addresses the problem of estimation of the finite population mean in the presence of nonresponse and measurement errors under double sampling for stratification. In the literature, nonresponse and measurement errors have been studied independently under double sampling for stratification. A generalized estimator of the population mean that utilizes information on a single auxiliary variable is proposed. The expression for the bias and mean square error of the proposed generalized estimator are obtained for the fixed sample size and cost up to the first order of approximation. The unbiased version of the proposed generalized estimator is developed and the minimum variance is derived. The cost of the survey is studied theoretically. The numerical study reveals that the optimum estimator is more efficient than other existing estimators.


Double sampling for stratification, population mean, nonresponse, measurement errors, and optimal allocation

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