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.
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2023 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:283158 |
| Online Access: | https://ddd.uab.cat/record/283158 https://dx.doi.org/urn:doi:10.1016/j.spl.2023.109900 |
| Access Level: | Open access |
| Keyword: | Poisson distribution Underdispersion |
| Summary: | 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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