Published

2009-01-01

ESTIMACIÓN DEL TOTAL POBLACIONAL USANDO EL ESTIMADOR DE DIFERENCIA

ESTIMATION OF THE POPULATION TOTAL USING THE GENERALIZED DIFFERENCE ESTIMATOR AND WILCOXON RANKS

Keywords:

estimador de regresión, población finita, puntaje de Wilcoxon (es)
Finite population, Regression estimator, Wilcoxon score (en)

Downloads

Authors

  • Hugo Andrés Gutiérrez Universidad Santo Tomás
  • F. Jay Breidt Colorado State University
Este artículo presenta un nuevo estimador de regresión para el total poblacional de una característica de interés, creado por la minimización de una medida de dispersión y el uso de los puntajes de Wilcoxon. Se considera el uso de un modelo no paramétrico con el fin de obtener un estimador asistido por modelos, que surge del estimador de diferencia gene ralizada. En primer lugar, se presenta un nuevo estimador del vector de coeficientes de regresión y luego, haciendo uso de los principios del estimador de diferencia generalizada, se propone un estimador para el total poblacional. El estudio de las medidas de precisión y eficiencias, como el sesgo y el error cuadrático medio, se lleva a cabo mediante experimentos de simulación.
This paper presents a new regression estimator for the total of a population created by means of the minimization of a measure of dispersion and the use of the Wilcoxon scores. The use of a particular nonparametric model is considered in order to obtain a model-assisted estimator by means of the generalized difference estimator. First, an estimator of the vector of the regression coefficients for the finite population is presented and then, using the generalized difference principles, an estimator for the total a population is proposed. The study of the accuracy and efficiency measures, such as design bias and mean square error of the estimators, is carried out through simulation experiments.

Downloads

Download data is not yet available.

License

Copyright (c) 2009 Revista Colombiana de Estadística

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).