¹Dr. Rml Avadh University, Department of Mathematics & Statistics (A Centre of Excellence), Faizabad, India. Assistant professor. Email: drskystats@gmail.com
²Hacettepe University, Department of Statistics, Ankara, Turkey. Professor. Email: kadilar@hacettepe.edu.tr

\noindent This article considers the problem of estimating the population variance using auxiliary information. An improved version of Singhs exponential type ratio estimator has been proposed and its properties have been studied under large sample approximation. It is shown that the proposed exponential type ratio estimator is more efficient than that considered by the Singh estimator, conventional ratio estimator and the usual unbiased estimator under some realistic conditions. An empirical study has been carried out to judge the merits of the suggested estimator over others.

Key words: Auxiliary variable, Bias, Efficiency, Mean squared error.

Este artículo considera el problema de estimar la varianza poblacional usando información auxiliar. Una versión mejorada de un estimador exponencial tipo razón de Singh ha sido propuesta y sus propiedades han sido estudiadas bajo aproximaciones de grandes muestras. Se muestra que el estimador exponencial tipo razón propuesto es más eficiente que el estimador de Singh, el estimador de razón convencional y el estimador insesgado usual bajo algunas condiciones realísticas. Un estudio empírico se ha llevado a cabo con el fin de juzgar los méritos del estimador sugerido sobre otros disponibles.

Palabras clave: eficiencia, error cuadrático medio, sesgo, variable auxiliar.

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References

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