Unbiased Estimator of Finite Population Variance Based on a Ratio Type Estimator


Abstract


In this paper, an estimator of the finite population variance S2_y is proposed. The proposed estimator is exactly unbiased estimatorfor S2_y; further, the mean squared error (MSE) of the proposedestimator is derived. Empirical studies from real data sets are usedto compare the proposed estimator and other estimators proposed inthe literature. The proposed estimator is stable among otherfamilies and practically has minimum MSE among other estimators.

DOI Code: 10.1285/i20705948v11n1p196

Keywords: Hartely and Ross Estimator; Ratio Type Estimators; Finite Population Variance; Auxiliary Variable; Mean Squared Error; Simple Random Sample

References


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