Slash-Weighted Lindley Distribution: Properties, Inference, and Applications
The slash-weighted Lindley model is introduced due to the need to obtain a model with more kurtosis than the weighted Lindley distribution. Several expressions for the pdf of this model are given. Its cumulative distribution function is expressed in terms of a generalized hypergeometric function and...
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| Format: | Article |
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MDPI AG
2023-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/18/3980 |
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| author | Jaime S. Castillo Inmaculada Barranco-Chamorro Osvaldo Venegas Héctor W. Gómez |
| author_facet | Jaime S. Castillo Inmaculada Barranco-Chamorro Osvaldo Venegas Héctor W. Gómez |
| author_sort | Jaime S. Castillo |
| collection | DOAJ |
| description | The slash-weighted Lindley model is introduced due to the need to obtain a model with more kurtosis than the weighted Lindley distribution. Several expressions for the pdf of this model are given. Its cumulative distribution function is expressed in terms of a generalized hypergeometric function and the incomplete gamma function. Moments and maximum likelihood estimation were studied. A simulation study was carried out to illustrate the good performance of the estimates. Finally, two real applications are included. |
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| format | Article |
| id | doaj.art-9166d46e3d26466b8362f631c94056c3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T22:30:10Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9166d46e3d26466b8362f631c94056c32023-11-19T11:50:15ZengMDPI AGMathematics2227-73902023-09-011118398010.3390/math11183980Slash-Weighted Lindley Distribution: Properties, Inference, and ApplicationsJaime S. Castillo0Inmaculada Barranco-Chamorro1Osvaldo Venegas2Héctor W. Gómez3Departamento de Estadística y Ciencias de Datos, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileDepartamento de Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Sevilla, 41012 Sevilla, SpainDepartamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, ChileDepartamento de Estadística y Ciencias de Datos, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileThe slash-weighted Lindley model is introduced due to the need to obtain a model with more kurtosis than the weighted Lindley distribution. Several expressions for the pdf of this model are given. Its cumulative distribution function is expressed in terms of a generalized hypergeometric function and the incomplete gamma function. Moments and maximum likelihood estimation were studied. A simulation study was carried out to illustrate the good performance of the estimates. Finally, two real applications are included.https://www.mdpi.com/2227-7390/11/18/3980weighted Lindley distributionslash distributionhypergeometric functions |
| spellingShingle | Jaime S. Castillo Inmaculada Barranco-Chamorro Osvaldo Venegas Héctor W. Gómez Slash-Weighted Lindley Distribution: Properties, Inference, and Applications Mathematics weighted Lindley distribution slash distribution hypergeometric functions |
| title | Slash-Weighted Lindley Distribution: Properties, Inference, and Applications |
| title_full | Slash-Weighted Lindley Distribution: Properties, Inference, and Applications |
| title_fullStr | Slash-Weighted Lindley Distribution: Properties, Inference, and Applications |
| title_full_unstemmed | Slash-Weighted Lindley Distribution: Properties, Inference, and Applications |
| title_short | Slash-Weighted Lindley Distribution: Properties, Inference, and Applications |
| title_sort | slash weighted lindley distribution properties inference and applications |
| topic | weighted Lindley distribution slash distribution hypergeometric functions |
| url | https://www.mdpi.com/2227-7390/11/18/3980 |
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