Ultra log-concavity of discrete order statistics

Llorenç Badiella Busquets; Pedro Puig

doi:10.1016/j.spl.2023.109900

Ultra log-concavity of discrete order statistics

Llorenç Badiella Busquets, Pedro Puig

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	109900
Número de páginas	4
Publicación	Statistics and Probability Letters
Volumen	201
DOI	https://doi.org/10.1016/j.spl.2023.109900
Estado	Publicada - oct 2023

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MODELIZACION ESTADISTICA DE EVENTOS EXTREMOS Y RIESGOS PARA LA SALUD
Puig Casado, P. (Principal Investigator), Baena Mirabete, S. (Colaborador/a), Fernandez Fontelo, A. (Colaborador/a), Higueras Hernaez, M. (Colaborador/a), Lilio Rodríguez, R. E. (Colaborador/a), Moriña Soler, D. (Colaborador/a), Valero Baya, J. (Colaborador/a), Zaiats Protchenko, V. (Colaborador/a), Badiella Busquets, L. (Investigador/a), Blasco Moreno, A. (Investigador/a), Cabaña Nigro, A. A. (Investigador/a), Castillo Franquet, J. D. (Investigador/a), Espinal Berenguer, A. (Investigador/a) & Mlynarczyk ., D. A. (Colaborador/a)
Ministerio de Economía y Competitividad (MINECO)
1/01/19 → 31/12/22
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title = "Ultra log-concavity of discrete order statistics",

abstract = "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.",

keywords = "Poisson distribution, Underdispersion",

author = "{Badiella Busquets}, Lloren{\c c} and Pedro Puig",

note = "Publisher Copyright: {\textcopyright} 2023 The Authors",

year = "2023",

month = oct,

doi = "10.1016/j.spl.2023.109900",

language = "English",

volume = "201",

journal = "Statistics and Probability Letters",

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T1 - Ultra log-concavity of discrete order statistics

AU - Badiella Busquets, Llorenç

AU - Puig, Pedro

PY - 2023/10

Y1 - 2023/10

N2 - 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.

AB - 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.

KW - Poisson distribution

KW - Underdispersion

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DO - 10.1016/j.spl.2023.109900

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JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

M1 - 109900

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Ultra log-concavity of discrete order statistics

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MODELIZACION ESTADISTICA DE EVENTOS EXTREMOS Y RIESGOS PARA LA SALUD

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