A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling

Recently a new generalized estimator for population variance using information on the auxiliary variable has been introduced by Asghar, Sanaullah  and Hanif (2014). In that paper there was some inaccuracy in the bias and MSE expressions. In this paper, we provide the correct expressions for bias and...

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Detalles Bibliográficos
Autores: Shabbir, Javid, Gupta, Sat
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Colombia
Institución:Universidad Nacional de Colombia
Repositorio:Repositorio UN
Idioma:español
OAI Identifier:oai:repositorio.unal.edu.co:unal/66532
Acceso en línea:https://repositorio.unal.edu.co/handle/unal/66532
http://bdigital.unal.edu.co/67560/
Access Level:acceso abierto
Palabra clave:51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Auxiliary Variable
Bias
Efficiency
Mean Square Error
Variance
Error cuadrático medio
Sesgo
Variable auxiliar
Varianza
Eficiencia.
Descripción
Sumario:Recently a new generalized estimator for population variance using information on the auxiliary variable has been introduced by Asghar, Sanaullah  and Hanif (2014). In that paper there was some inaccuracy in the bias and MSE expressions. In this paper, we provide the correct expressions for bias and MSE of the Asghar et al. (2014) estimator, up to the first order of approximation. We also propose a new generalized exponential type estimator for population variance which performs better than the existing estimators. Four data sets are used for numerical comparison of efficiencies.