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

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Resum

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	Anglès
Número d’article	109900
Nombre de pàgines	4
Revista	Statistics and Probability Letters
Volum	201
DOIs	https://doi.org/10.1016/j.spl.2023.109900
Estat de la publicació	Publicada - d’oct. 2023

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10.1016/j.spl.2023.109900

https://ddd.uab.cat/record/283158

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MODELIZACION ESTADISTICA DE EVENTOS EXTREMOS Y RIESGOS PARA LA SALUD
Puig Casado, P. (PI), Baena Mirabete, S. (Col.laborador/a), Fernandez Fontelo, A. (Col.laborador/a), Higueras Hernaez, M. (Col.laborador/a), Lilio Rodríguez, R. E. (Col.laborador/a), Moriña Soler, D. (Col.laborador/a), Valero Baya, J. (Col.laborador/a), Zaiats Protchenko, V. (Col.laborador/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. (Col.laborador/a)
Ministerio de Economía y Competitividad (MINECO), Fons Europeu de Desenvolupament Regional (FEDER)
1/01/19 → 31/12/22
Projecte: Projectes i Ajuts a la Recerca

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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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publisher = "Elsevier",

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TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=85164693039&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/586d3412-9d60-3a65-8b74-3a0002fc7bb5/

U2 - 10.1016/j.spl.2023.109900

DO - 10.1016/j.spl.2023.109900

M3 - Article

SN - 0167-7152

VL - 201

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

M1 - 109900

ER -

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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