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This article considers the problem of estimating the population varianceusing auxiliary information. An improved version of Singh’s exponential typeratio estimator has been proposed and its properties have been studied underlarge sample approximation. It is shown that the proposed exponential typeratio estimator is more efficient than that considered by the Singh estimator,conventional ratio estimator and the usual unbiased estimator under somerealistic conditions. An empirical study has been carried out to judge themerits of the suggested estimator over others.

Tipo de documento: Artículo - Article

Palabras clave: Auxiliary variable, Bias, Efficiency, Mean squared error





Fuente: http://www.bdigital.unal.edu.co


Introducción



Revista Colombiana de Estadística Junio 2013, volumen 36, no.
1, pp.
145 a 152 Improved Exponential Type Ratio Estimator of Population Variance Estimador tipo razón exponencial mejorado para la varianza poblacional Subhash Kumar Yadav1,a , Cem Kadilar2,b 1 Department of Mathematics and Statistics (A Centre of Excellence), Dr.
Rml Avadh University, Faizabad, India 2 Department of Statistics, Hacettepe University, Ankara, Turkey Abstract This article considers the problem of estimating the population variance using auxiliary information.
An improved version of Singh’s 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. Resumen 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. a Assistant b Professor. professor.
E-mail: drskystats@gmail.com E-mail: kadilar@hacettepe.edu.tr 145 146 Subhash Kumar Yadav and Cem Kadilar 1.
Introduction The auxiliary information in sampling theory is used...






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