Generalized Exponential Type Estimator for Population Variance in Survey Sampling

Asghar, Amber; Sanaullah, Aamir; Hanif, Muhammad

doi:10.15446/rce.v37n1.44368

Cited by 24 publications

(23 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Recently Asghar et al (2014) introduced the following generalized exponential type estimator for population variance. Other work for exponential type estimators for finite population means can be found at Shabbir, Haq & Gupta (2014)…”

Section: Asghar Estimatormentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

“…Recientemente, un nuevo estimador generalizado de varianza de la población utilizando información sobre la variable auxiliar ha sido introducida por Asghar et al (2014). En ese documento había alguna inexactitud en las expresiones de sesgo y ECM.…”

Section: Introductionunclassified

“…En ese documento había alguna inexactitud en las expresiones de sesgo y ECM. En este trabajo, proporcionamos las expresiones correctas de sesgo y ECM de Asghar et al (2014) hasta el primer orden de aproximación. También proponemos un nuevo estimador tipo exponencial generalizado de la varianza de la población que se comporta mejor que los estimadores existentes.…”

Section: Introductionunclassified

“…

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

…”

mentioning

confidence: 99%

See 4 more Smart Citations

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

Shabbir¹,

Gupta²

2015

Rev. colomb. estad.

View full text Add to dashboard Cite

Recently a new generalized estimator for population variance using information on the auxiliary variable has been introduced by Asghar, Sanaullah & 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.Key words: Auxiliary Variable, Bias, Efficiency, Mean Square Error, Variance. ResumenRecientemente, un nuevo estimador generalizado de varianza de la población utilizando información sobre la variable auxiliar ha sido introducida por Asghar et al. (2014). En ese documento había alguna inexactitud en las expresiones de sesgo y ECM. En este trabajo, proporcionamos las expresiones correctas de sesgo y ECM de Asghar et al. (2014) hasta el primer orden de aproximación. También proponemos un nuevo estimador tipo exponencial generalizado de la varianza de la población que se comporta mejor que los estimadores existentes. Cuatro conjuntos de datos se utilizan para la comparación numérica de la eficiencia.Palabras clave: error cuadrático medio, sesgo, variable auxiliar, varianza, eficiencia.a Professor.

show abstract

Section: Asghar Estimatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionunclassified

“…

…”

mentioning

confidence: 99%

See 3 more Smart Citations

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

Shabbir¹,

Gupta²

2015

Rev. colomb. estad.

View full text Add to dashboard Cite

show abstract

An improved efficient class of estimators for the population variance

Niaz

Sanaullah

Saleem

et al. 2021

Concurrency and Computation

Self Cite

View full text Add to dashboard Cite

In this article, we propose an improved class of estimators for a finite population variance in presence of the auxiliary information. The expressions of the bias and mean squared error of the proposed class of estimators are obtained up to the first order of approximation. The conditions under which the proposed class of estimators is more efficient than the other estimators have also been derived. It is observed from the simulation results that the proposed class of estimators is more efficient than the usual linear regression estimator.

show abstract

Generalized Exponential Estimators for Population Variance Under Two-Phase Sampling

Sanaullah

Hanif

Asghar

2015

Int. J. Appl. Comput. Math

Self Cite

View full text Add to dashboard Cite

In this study, two-phase sampling is considered for estimating the population variance of study variable taking two auxiliary variables. The proposed generalized estimator and class of estimators are the exponential function of auxiliary variables. The mean square errors and biases equations have been obtained for the proposed estimators. The conditions for which proposed estimators are more efficient as compared to other estimators have been discussed. The empirical study showed that proposed estimators are more efficient as compared to the unbiased sample variance estimator, double sampling version of Isaki (J Am Stat

show abstract

Generalized Exponential Type Estimator for Population Variance in Survey Sampling

Cited by 24 publications

References 11 publications

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

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

An improved efficient class of estimators for the population variance

Generalized Exponential Estimators for Population Variance Under Two-Phase Sampling

Contact Info

Product

Resources

About