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An Improved Class of Ratio and Product Estimators Based on ORRT Models
Una clase mejorado de estimadores de razones y productos basados en modelos ORRT
DOI:
https://doi.org/10.15446/rce.v47n1.106991Keywords:
Auxiliary variable, Bias, Mean square error (MSE), Non-response, Optional RRT, Sensitive study variables (en)Error cuadrático medio (MSE), Falta de respuesta, Sesgo, TSR opcional, Variables sensibles del estudio, Variable auxiliar (es)
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In this study, we introduced a problem for the estimation of the population mean of two sensitive variables using ORRT models. A class of estimators has been developed for the estimation of ratio and product estimators. Up to the first degree of approximation, properties of the proposed estimators including bias and mean square error have been studied. To show the efficacy of the proposed class of estimators, we compare it with the conventional estimators and the PRE of the proposed class of estimators is obtained with respect to the usual ratio and product estimator. The simulation study justified that our suggested estimator is more efficient than the existing estimator in terms of having higher PRE.
En este estudio, presentamos un problema para la estimación de la media poblacional de dos variables sensibles utilizando modelos ORRT. Se ha desarrollado una clase de estimadores para la estimación de razón y producto. Hasta el primer grado de aproximación, se han estudiado las propiedades de los estimadores propuestos, incluido el sesgo y el error cuadrático medio. Para mostrar la eficacia de la clase de estimadores propuesta, la comparamos con los estimadores convencionales, y se obtiene el PRE de la clase de estimadores propuesta con respecto al estimador habitual de razón y producto. El estudio de simulación que nuestro estimador sugerido es más eficiente que el estimador existente en términos de tener un PRE más alto.
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