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Research Article Open access CC BY 4.0

Ameliorated Class of Estimators of Finite Population Variance

J. O. Muili, E. N. Agwamba, A. B. Odeyale, A. Adebiyi

Asian Journal of Probability and Statistics · pp. 1–14 · Published 29 Jun 2020

10.9734/ajpas/2020/v7i430189

Abstract

A class of ratio estimators of finite population variance is proposed in this study. The properties of the proposed estimators have been derived using Taylor’s Series method up to first order of approximation. The efficiency conditions which are the mean square errors (MSEs) and percentage relative efficiency (PRE) of the proposed estimators over existing estimators have been established. The analytical illustration was also conducted to affirm the theoretical results. The results of the empirical study revealed that the proposed estimators are more efficient than the existing estimators considered in the study.

Mid-range quartiles mean square error estimator finite population variance.

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