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. © 2023 The Auth...

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Detalhes bibliográficos
Autores: Badiella, L., del Castillo, J., Puig, P.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/536869
Acesso em linha:http://hdl.handle.net/2072/536869
Access Level:acceso abierto
Palavra-chave:Poisson distribution
Underdispersion
Descrição
Resumo: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. © 2023 The Authors