Mathematical Problems in Engineering · 2021 · 11 citations · 9 references
Natural SciencesEconomicsEconometricsStatistical ModelingStatisticsEstimation TheoryInferential StatisticsMaximum Likelihood EstimationPopulation EstimationStatistical AnalysisStatistical InferenceEfficiencyEfficiency ComparisonEstimation EquationsFinite Population EstimationFinite Sample EstimationMean Squared Error EstimationRegression EstimationStatistical Efficiency
In this paper, a ratio-exponential-log type general class of estimators is proposed in estimating the finite population mean using two auxiliary variables when population parameters of the auxiliary variables are known. From the proposed estimator, some special estimators are identified as members of the proposed general class of estimators. The mean square error (MSE) expressions are obtained up to the first order of approximation. This study finds that the proposed general class of estimators outperforms as compared to the conventional mean estimator, usual ratio estimators, exponential-ratio estimators, log-ratio type estimators, and many other competitor regression type estimators. Four real-life applications are used for efficiency comparison.
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M. N. Murthy · 1967 · 471 citations
MULTIVARIATE RATIO ESTIMATION FOR FINITE POPULATIONS
Ingram Olkin · Biometrika · 1958 · 177 citations