Comparing TL-Moments, L-Moments and Conventional Moments of Dagum Distribution by Simulated data
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional de Colombia
2013
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| author | Mirza Naveed Shahzad |
| author_facet | Mirza Naveed Shahzad |
| contents | Comparing TL-Moments, L-Moments and Conventional Moments of Dagum Distribution by Simulated data Mirza Naveed Shahzad Zahid Asghar Física, Astronomía y Matemáticas TL Para moments meter estimation Method of moments Modeling income, wage, wealth, expenditure and various other social variables have always been an issue of great concern. The Dagum distribution is considered quite handy to model such type of variables. Our focus in this study is to derive the L-moments and TL-moments of this distribution in closed form. Using L & TL-moments estimators we estimate the scale parameter which represents the inequality of the income distribution from the mean income. Comparing L-moments, TL-moments and conventional moments, we observe that the TL-moment estimator has lessbias and root mean square errors than those of L and conventional estimators considered in this study. We also find that the TL-moments have smaller root mean square errors for the coefficients of variation, skewness and kurtosis. These results hold for all sample sizes we have considered in our Monte Carlo simulation study. 2013 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89928087005 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.36 |
| format | Artículo científico |
| id | redalyc_89928087005 |
| institution | Redalyc |
| language | en |
| publishDate | 2013 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Comparing TL-Moments, L-Moments and Conventional Moments of Dagum Distribution by Simulated data Mirza Naveed Shahzad Física, Astronomía y Matemáticas TL Para moments meter estimation Method of moments Comparing TL-Moments, L-Moments and Conventional Moments of Dagum Distribution by Simulated data Mirza Naveed Shahzad Zahid Asghar Física, Astronomía y Matemáticas TL Para moments meter estimation Method of moments Modeling income, wage, wealth, expenditure and various other social variables have always been an issue of great concern. The Dagum distribution is considered quite handy to model such type of variables. Our focus in this study is to derive the L-moments and TL-moments of this distribution in closed form. Using L & TL-moments estimators we estimate the scale parameter which represents the inequality of the income distribution from the mean income. Comparing L-moments, TL-moments and conventional moments, we observe that the TL-moment estimator has lessbias and root mean square errors than those of L and conventional estimators considered in this study. We also find that the TL-moments have smaller root mean square errors for the coefficients of variation, skewness and kurtosis. These results hold for all sample sizes we have considered in our Monte Carlo simulation study. 2013 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89928087005 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.36 |
| title | Comparing TL-Moments, L-Moments and Conventional Moments of Dagum Distribution by Simulated data |
| topic | Física, Astronomía y Matemáticas TL Para moments meter estimation Method of moments |
| url | https://www.redalyc.org/articulo.oa?id=89928087005 |