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...

Full description

Autores:
Shabbir, Javid
Gupta, Sat
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
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/
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.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary: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.