A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling

Un nuevo estimador tipo diferencia-cum-exponencial de la media de una población finita en muestras aleatorias simple

Auxiliary information is frequently used to improve the accuracy of the estimators when estimating the unknown population parameters. In this paper, we propose a new difference-cum-exponential type estimator for the finite population mean using auxiliary information in simple random sampling. The expressions for the bias and mean squared error of the proposed estimator are obtained under first order of approximation. It is shown theoretically, that the proposed estimator is always more efficient than the sample mean, ratio, product, regression and several other existing estimators considered here. An empirical study using 10 data sets is also conducted to validate the theoretical findings.

Información auxiliar se utiliza con frecuencia para mejorar la precisión de los estimadores al estimar los parámetros poblacionales desconocidos. En este trabajo, se propone un nuevo tipo de diferencia-cum-exponencial estimador de la población finita implicar el uso de información auxiliar en muestreo aleatorio simple. Las expresiones para el sesgo y el error cuadrático medio del estimador propuesto se obtienen en primer orden de aproximación. Se muestra teóricamente, que el estimador propuesto es siempre más eficiente que la media de la muestra, la relación de, producto, regresión y varios otros estimadores existentes considerados aquí. Un estudio empírico utilizando 10 conjuntos de datos también se lleva a cabo para validar los resultados teóricos.

https://doi.org/10.15446/rce.v37n1.44366

A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling Un nuevo estimador tipo diferencia-cum-exponencial de la media de una población finita en muestras aleatorias simple JAVID SHABBIR¹, ABDUL HAQ², SAT GUPTA³

¹Quaid-I-Azam University, Department of Statistics, Islamabad, Pakistan. Professor. Email: javidshabbir@gmail.com
²Quaid-I-Azam University, Department of Statistics, Islamabad, Pakistan. Lecturer. Email: aaabdulhaq@gmail.com
³The University of North Carolina at Greensboro, Department of Mathematics and Statistics, Greensboro, USA. Professor. Email: sngupta@uncg.edu

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Abstract

Key words: Ratio estimator, Auxiliary Variable, Exponential type estimator, Bias, MSE, Efficiency.

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Resumen

Palabras clave: estimador de razón, variables auxiliares, estimador tipo exponencial, sesgo, error cuadrático medio.

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Texto completo disponible en PDF

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[Recibido en octubre de 2013. Aceptado en marzo de 2014]

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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:

@ARTICLE{RCEv37n1a13,
    AUTHOR  = {Shabbir, Javid and Haq, Abdul and Gupta, Sat},
    TITLE   = {{A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling}},
    JOURNAL = {Revista Colombiana de Estadística},
    YEAR    = {2014},
    volume  = {37},
    number  = {1},
    pages   = {199-211}
}

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