Ameliorated Class of Estimators of Finite Population Variance
J. O. Muili *
Department of Mathematics, Kebbi State University of Science and Technology, Aliero, Nigeria.
E. N. Agwamba
Department of Mathematics, Kebbi State University of Science and Technology, Aliero, Nigeria.
A. B. Odeyale
Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria.
A. Adebiyi
Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: Mid-range, quartiles, mean square error, estimator, finite population variance.