http://dx.doi.org/10.15446/rce.v37n1.44368

¹Virtual University of Pakistan, Department of Mathematics & Statistics, Lahore, Pakistan. Lecturer. Email: zukhruf10@gmail.com
²NCBA & E, Department of Statistics, Lahore, Pakistan. Lecturer. Email: chaamirsanaullah@yahoo.com
³NCBA & E, Department of Statistics, Lahore, Pakistan. Associate professor. Email: drmianhanif@gmail

In this paper, generalized exponential-type estimator has been proposed for estimating the population variance using mean auxiliary variable in single-phase sampling. Some special cases of the proposed generalized estimator have also been discussed. The expressions for the mean square error and bias of the proposed generalized estimator have been derived. The proposed generalized estimator has been compared theoretically with the usual unbiased estimator, usual ratio and product, exponential-type ratio and product, and generalized exponential-type ratio estimators and the conditions under which the proposed estimators are better than some existing estimators have also been given. An empirical study has also been carried out to demonstrate the efficiencies of the proposed estimators.

Key words: Auxiliary variable, Single-phase sampling, Mean square error, Bias.

En este artículo, de tipo exponencial generalizado ha sido propuesto con el fin de estimar la varianza poblacional a través de una variables auxiliar en muestreo en dos fases. Algunos casos especiales del estimador medio y el sesgo del estimador generalizado propuesto son derivados. El estimador es comprado teóricamente con otros disponibles en la literatura y las condiciones bajos los cuales éste es mejor. Un estudio empírico es llevado a cabo para comprar la eficiencia de los estimadores propuestos.

Palabras clave: Información auxiliar, muestras en dos fases, error cuadrático medio, sesgo.

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