http://dx.doi.org/10.15446/rce.v37n1.44366

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

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.

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

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.

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

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