The Efficiency of a Ratio Product Estimator in the Estimation of the Finite Population Coefficient of Variation

Zakari, Yahaya; Yunusa, Mojeed Abiodun; Abdulrahman, Rashida; Muhammad, Isah; Mohammed, Aminu Suleiman; Audu, Ahmed

doi:10.3390/asec2023-16263

The 4th International Electronic Conference on Applied Sciences 2023

DOI: 10.3390/asec2023-16263

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The Efficiency of a Ratio Product Estimator in the Estimation of the Finite Population Coefficient of Variation

Yahaya Zakari,

Mojeed Abiodun Yunusa,

Rashida Abdulrahman

et al.

Abstract: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).

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Generalized Ratio-Product cum Regression Variance Estimator in Two-Phase Sampling

Muhammad

2023

CBN-JAS

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This study develops a flexible and efficient generalized ratio-product cum regression-type estimator of population variance utilizing auxiliary variable in two-phase sampling that incorporates the properties of ratio-type and product-type estimators. The properties of the estimator were derived using first order approximation. The theoretical conditions under which the precision and the flexibility of the estimator is better than some classical estimators are also provided. Empirical evidence from five real datasets suggests that the proposed estimator outperforms the classical variance, ratio variance, product, and exponential ratio type estimators in terms of precision and efficiency. The estimator can be utilized to provide better variance estimates for various phenomena such as inflation variation, exchange rate variation and standard of living variation for better policymaking.

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Generalized Ratio-Product cum Regression Variance Estimator in Two-Phase Sampling

Muhammad

2023

CBN-JAS

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The Efficiency of a Ratio Product Estimator in the Estimation of the Finite Population Coefficient of Variation

Abstract: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).

Cited by 1 publication

References 18 publications

Generalized Ratio-Product cum Regression Variance Estimator in Two-Phase Sampling

Generalized Ratio-Product cum Regression Variance Estimator in Two-Phase Sampling

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