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Our current study is about estimating the finite population mean under cluster sampling in existence of random non-response and measurement error state. Using material on a secondary variable, a logarithmic kind of estimator has been planned. We proposed this type of estimator as we have seen that in this field we have many types of estimators except logarithmic. Active imputation techniques have been proposed for a transaction with the random non-response and measurement error states. The possessions of the recommended estimation plans have been deliberate for diverse belongings of random non-response and measurement error states in real life studies. The Advantage of the recommended procedure over the usual sample mean estimator of population mean has been well- known over experiential studies approved through the data sets of usual population and artificially generated population. Appropriate recommendations to the study statistician are made.

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