An efficient ratio estimator of population means under double sampling technique using information on auxiliary attribute

Catherine Shike Agbebia; Andrew Ekpung Ntul; Etorti Imoke John; Egomo Eric Monfung

doi:10.30574/wjarr.2024.22.2.1313

eISSN: 2581-9615 || CODEN: WJARAI || Impact Factor 8.2 || CrossRef DOI

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An efficient ratio estimator of population means under double sampling technique using information on auxiliary attribute

Catherine Shike Agbebia ^{1, *}, Andrew Ekpung Ntul ¹, Etorti Imoke John ²and Egomo Eric Monfung ¹

¹Department of Statistics, University of Cross River State (UNICROSS), Calabar, Nigeria.

²Department of Mathematics, College of Education, Akamkpa- Nigeria.

Review Article

World Journal of Advanced Research and Reviews, 2024, 22(02), 1165-1176

Article DOI: 10.30574/wjarr.2024.22.2.1313

DOI url: https://doi.org/10.30574/wjarr.2024.22.2.1313

Publication history

Received on 04 April 2024; revised on 13 May 2024; accepted on 15 May 2024

Abstract

This paper provides the estimation of population mean under double sampling, using supplementary information in the form of an attribute (that is, a proportion of the population possessing an attribute highly correlated with the study variable). A generalized efficient family of ratio estimator of the population mean is suggested and expressions for the bias and the mean square error of the estimator, as well as the minimum value are obtained. The proposed estimator has an improvement over some existing estimators when compared numerically using a natural population data and therefore provides a better substitute for the purpose of estimation.

Keywords

Double sampling; Proportion; Efficiency; Estimator and population mean

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Catherine Shike Agbebia, Andrew Ekpung Ntul, Etorti Imoke John and Egomo Eric Monfung. An efficient ratio estimator of population means under double sampling technique using information on auxiliary attribute. World Journal of Advanced Research and Reviews, 2024, 22(2), 1165-1176. Article DOI: https://doi.org/10.30574/wjarr.2024.22.2.1313

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An efficient ratio estimator of population means under double sampling technique using information on auxiliary attribute

Catherine Shike Agbebia ^{1, *}, Andrew Ekpung Ntul ¹, Etorti Imoke John ²and Egomo Eric Monfung ¹

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An efficient ratio estimator of population means under double sampling technique using information on auxiliary attribute

Catherine Shike Agbebia 1, *, Andrew Ekpung Ntul 1, Etorti Imoke John 2 and Egomo Eric Monfung 1

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Catherine Shike Agbebia ^{1, *}, Andrew Ekpung Ntul ¹, Etorti Imoke John ²and Egomo Eric Monfung ¹