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Improved estimators for population mean in presence of measurement error
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(1) · pp. 201–210
Abstract
This paper proposed some improved class of estimators of population mean in presence of measurement error using auxiliary variable based on arithmetic mean, geometric mean and harmonic mean of the usual unbiased estimator, Salabh estimator (1977) and estimators due to Bahal and Tuteja (1991) in case of simple random sampling without replacement (SRSWOR). The expressions of bias and MSEs have been obtained up to the first order of approximation. The performances of the proposed estimators are checked using real population data set. In addition, an empirical study is carried out in the support of theoretical results.
Survey Sampling and Estimation TechniquesEstimatorPopulation meanHarmonic meanMathematicsStatisticsMean squared errorSimple random samplePopulationSample mean and sample covarianceGeometric mean
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