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Revista Colombiana de Estadística
versión impresa ISSN 0120-1751
Rev.Colomb.Estad. vol.46 no.1 Bogotá ene./jun. 2023 Epub 18-Ene-2023
https://doi.org/10.15446/rce.v46n1.104427
Original articles of research
An Improved Estimator of Finite Population Variance Using two Auxiliary Variable SRS
Un estimador mejorado de varianza de población finita utilizando dos atributos auxiliares en SRS
1 Department of Statistics, University of Jammu, Jammu, India
In the present study, we explore the problem of estimation of finite population variance in simple random sampling (without replacement) by utilizing information of two auxiliary variables. A ratio cum exponential estimator has been proposed and its properties are studied to the first degree of approximation. To demonstrate the efficiency, members of the proposed estimator as well as other existing estimators are compared to the usual unbiased estimator. To study the performance, a simulation study is undertaken for both real and artificial population using R software. The suggested estimator is found to be more efficient than other existing estimators in terms of having minimum MSE.
Key words: Simple random sampling; Variance estimation; Study variable; Auxiliary variable; Bias; Mean square error
En el presente estudio, exploramos el problema de la estimación de la varianza de una población finita en un muestreo aleatorio simple (sin reemplazo) utilizando la información de dos variables auxiliares. Se ha propuesto un estimador de razón cum exponencial y se estudian sus propiedades hasta el primer grado de aproximación. Para demostrar la eficiencia, los miembros del estimador propuesto, así como otros estimadores existentes, se comparan con el estimador insesgado habitual. Usando el software R, se lleva a cabo un análisis de simulación para respaldar las conclusiones teóricas. Se determina que el estimador sugerido es más eficiente que otros estimadores existentes según el análisis del estudio de simulación.
Palabras clave: Muestreo aleatorio simple; Estimación de la varianza; Variable de estudio; Variable auxiliar; Sesgo; Error cuadrático medio
Acknowledgement
We are very grateful to the anonymous referee for his valuable comments that improved the quality of the paper.
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Received: April 2022; Accepted: November 2022
This is an open-access article distributed under the terms of the Creative Commons Attribution License
