The Censored Beta-Skew Alpha-Power Distribution
This paper introduces a new family of distributions for modelling censored multimodal data. The model extends the widely known tobit model by introducing two parameters that control the shape and the asymmetry of the distribution. Basic properties of this new family of distributions are studied in d...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/7/1114 |
| _version_ | 1797529168786751488 |
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| author | Guillermo Martínez-Flórez Roger Tovar-Falón María Martínez-Guerra |
| author_facet | Guillermo Martínez-Flórez Roger Tovar-Falón María Martínez-Guerra |
| author_sort | Guillermo Martínez-Flórez |
| collection | DOAJ |
| description | This paper introduces a new family of distributions for modelling censored multimodal data. The model extends the widely known tobit model by introducing two parameters that control the shape and the asymmetry of the distribution. Basic properties of this new family of distributions are studied in detail and a model for censored positive data is also studied. The problem of estimating parameters is addressed by considering the maximum likelihood method. The score functions and the elements of the observed information matrix are given. Finally, three applications to real data sets are reported to illustrate the developed methodology. |
| first_indexed | 2024-03-10T10:09:54Z |
| format | Article |
| id | doaj.art-98e44a8bf102451ca3e3f9d0784d65e7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T10:09:54Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-98e44a8bf102451ca3e3f9d0784d65e72023-11-22T01:18:52ZengMDPI AGSymmetry2073-89942021-06-01137111410.3390/sym13071114The Censored Beta-Skew Alpha-Power DistributionGuillermo Martínez-Flórez0Roger Tovar-Falón1María Martínez-Guerra2Departamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Montería 230027, ColombiaDepartamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Montería 230027, ColombiaEscuela de Ingeniería Industrial, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, ChileThis paper introduces a new family of distributions for modelling censored multimodal data. The model extends the widely known tobit model by introducing two parameters that control the shape and the asymmetry of the distribution. Basic properties of this new family of distributions are studied in detail and a model for censored positive data is also studied. The problem of estimating parameters is addressed by considering the maximum likelihood method. The score functions and the elements of the observed information matrix are given. Finally, three applications to real data sets are reported to illustrate the developed methodology.https://www.mdpi.com/2073-8994/13/7/1114censored beta-skew alpha-power distributionmultimodal dataasymmetrymaximum likelihood estimationinformation matrix |
| spellingShingle | Guillermo Martínez-Flórez Roger Tovar-Falón María Martínez-Guerra The Censored Beta-Skew Alpha-Power Distribution Symmetry censored beta-skew alpha-power distribution multimodal data asymmetry maximum likelihood estimation information matrix |
| title | The Censored Beta-Skew Alpha-Power Distribution |
| title_full | The Censored Beta-Skew Alpha-Power Distribution |
| title_fullStr | The Censored Beta-Skew Alpha-Power Distribution |
| title_full_unstemmed | The Censored Beta-Skew Alpha-Power Distribution |
| title_short | The Censored Beta-Skew Alpha-Power Distribution |
| title_sort | censored beta skew alpha power distribution |
| topic | censored beta-skew alpha-power distribution multimodal data asymmetry maximum likelihood estimation information matrix |
| url | https://www.mdpi.com/2073-8994/13/7/1114 |
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