Ultra log-concavity of discrete order statistics
In this work we show that discrete order statistics preserve log-concavity and ultra log-concavity. We use a recursive expression for discrete order statistics and the concept of synchronized sequences. This finding allows to conclude that Poisson order statistics are underdispersed.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:283158 |
| Acceso en línea: | https://ddd.uab.cat/record/283158 https://dx.doi.org/urn:doi:10.1016/j.spl.2023.109900 |
| Access Level: | acceso abierto |
| Palabra clave: | Poisson distribution Underdispersion |
| Sumario: | In this work we show that discrete order statistics preserve log-concavity and ultra log-concavity. We use a recursive expression for discrete order statistics and the concept of synchronized sequences. This finding allows to conclude that Poisson order statistics are underdispersed. |
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