Dr Ahmed Audu

(Department of Mathematics, Usmanu Danfodiyo University Sokoto, Nigeria)

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1. Jamiu olasunkanmi muili
2. eric ndukaku agwamba
3. yahqub ayinde erinola
4. mojeed abiodun yunusa
5. dr. ahmed audu
6. muslihu adeyemi hamzat

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A family of ratio-type estimators of finite population variance

Author : Jamiu olasunkanmi muili, eric ndukaku agwamba, yahqub ayinde erinola, mojeed abiodun yunusa, dr. ahmed audu, muslihu adeyemi hamzat

Keyword : Sampling survey, ratio estimator, mean square error, percentiles.

Subject : Statistics

Article Type : Original article (research)

DOI : doi: 10.35629/5252-0204309319

Article File : Full Text PDF

Abstract : This paper deals with the estimation of finite population variance. A class of ratio-type estimators is proposed for estimation of finite population variance of study variable. The purpose of this study is to develop a new class of ratio-type estimators to improve the precision of estimation of finite population variance in sample random sampling without replacement using information of auxiliary variable. The expressions of the bias and mean square error (MSE) of the proposed estimators were derived up to first degree of approximation by Taylor series method. The efficiency conditions under which the proposed ratio-type estimators are better than sample variance, ratio estimator, and other estimators considered in this study have been established. The empirical results shown that the proposed estimators are more efficient than the sample variance, Isaki ratio estimator and other existing estimators.

Article by : Dr Ahmed Audu

Article add date : 2020-11-02


How to cite : Jamiu olasunkanmi muili, eric ndukaku agwamba, yahqub ayinde erinola, mojeed abiodun yunusa, dr. ahmed audu, muslihu adeyemi hamzat. (2020-November-02). A family of ratio-type estimators of finite population variance. retrieved from https://openacessjournal.com/abstract/344