The Family of Log-Skew-Normal Alpha-Power Distributions using Precipitation Data
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Nacional de Colombia
2013
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| _version_ | 1876468172989661184 |
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| author | Guillermo Martínez-Flórez |
| author_facet | Guillermo Martínez-Flórez |
| contents | The Family of Log-Skew-Normal Alpha-Power Distributions using Precipitation Data Guillermo Martínez-Flórez Sandra Vergara-Cardozo Luz Mery González Física, Astronomía y Matemáticas Kurtosis Asymmetry Likelihood ratio test Fisher information matrix Maximum likelihood estimator We present a new set of distributions for positive data based on a skew-normal alpha-power (PSN) model including a new parameter which in turn makes the log-skew-normal alpha-power (LPSN) model more flexible than both the log-normal (LN) model and log-skew-normal (LSN) model. The LPSN model contains the LN model and LSN model as special cases. Fur- thermore, it models positive data with asymmetry and kurtosis larger than the one permitted by the LN distribution. Precipitation data illustrates the usefulness of the LPSN model being less influenced by outliers. 2013 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89928087003 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_89928087003 |
| institution | Redalyc |
| language | en |
| publishDate | 2013 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | The Family of Log-Skew-Normal Alpha-Power Distributions using Precipitation Data Guillermo Martínez-Flórez Física, Astronomía y Matemáticas Kurtosis Asymmetry Likelihood ratio test Fisher information matrix Maximum likelihood estimator The Family of Log-Skew-Normal Alpha-Power Distributions using Precipitation Data Guillermo Martínez-Flórez Sandra Vergara-Cardozo Luz Mery González Física, Astronomía y Matemáticas Kurtosis Asymmetry Likelihood ratio test Fisher information matrix Maximum likelihood estimator We present a new set of distributions for positive data based on a skew-normal alpha-power (PSN) model including a new parameter which in turn makes the log-skew-normal alpha-power (LPSN) model more flexible than both the log-normal (LN) model and log-skew-normal (LSN) model. The LPSN model contains the LN model and LSN model as special cases. Fur- thermore, it models positive data with asymmetry and kurtosis larger than the one permitted by the LN distribution. Precipitation data illustrates the usefulness of the LPSN model being less influenced by outliers. 2013 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89928087003 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 | The Family of Log-Skew-Normal Alpha-Power Distributions using Precipitation Data |
| topic | Física, Astronomía y Matemáticas Kurtosis Asymmetry Likelihood ratio test Fisher information matrix Maximum likelihood estimator |
| url | https://www.redalyc.org/articulo.oa?id=89928087003 |