Estimation of the Population Total using the Generalized Difference Estimator and Wilcoxon Ranks
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Nacional de Colombia
2009
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| _version_ | 1876483390269554688 |
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| author | Hugo Andrés Gutiérrez |
| author_facet | Hugo Andrés Gutiérrez |
| contents | Estimation of the Population Total using the Generalized Difference Estimator and Wilcoxon Ranks Hugo Andrés Gutiérrez F. Jay Breidt Física, Astronomía y Matemáticas Wilcoxon score Finite population Regression estimator 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. 2009 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89912230007 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.32 |
| format | Artículo científico |
| id | redalyc_89912230007 |
| institution | Redalyc |
| language | en |
| publishDate | 2009 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Estimation of the Population Total using the Generalized Difference Estimator and Wilcoxon Ranks Hugo Andrés Gutiérrez Física, Astronomía y Matemáticas Wilcoxon score Finite population Regression estimator Estimation of the Population Total using the Generalized Difference Estimator and Wilcoxon Ranks Hugo Andrés Gutiérrez F. Jay Breidt Física, Astronomía y Matemáticas Wilcoxon score Finite population Regression estimator 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. 2009 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89912230007 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.32 |
| title | Estimation of the Population Total using the Generalized Difference Estimator and Wilcoxon Ranks |
| topic | Física, Astronomía y Matemáticas Wilcoxon score Finite population Regression estimator |
| url | https://www.redalyc.org/articulo.oa?id=89912230007 |