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2018•Università del SalentoOpen access

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

Jehad Al-Jararha

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Minimum-variance unbiased estimator, Estimator, Bias of an estimator, Efficient estimator, Mean squared error, Mathematics, Stein's unbiased risk estimate, Statistics

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