Some mechanisms leading to underdispersion : Old and new proposals
Puig, Pedro (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valero, Jordi (Universitat Politècnica de Catalunya. Escola Superior d'Agricultura de Barcelona)
Fernández-Fontelo, Amanda (Humboldt University of Berlin. School of Business and Economics)

Date:	2023
Abstract:	In statistical modeling, it is important to know the mechanisms that cause underdispersion. Several mechanisms that lead to underdispersed count distributions are revisited from new perspectives, and new ones are introduced. These include procedures based on the number of arrivals in arrival processes, such as renewal and pure birth processes and steady-state distributions of birth-death processes, like queues with state-dependent service rates. Weighted Poisson and other well-known underdispersed distributions are also related to birth-death processes. Classical and variable binomial thinning mechanisms are also viewed as important procedures for generating underdispersed distributions, which can also generate bivariate count distributions with negative correlation. Some example applications are shown, one of which is related to Biodosimetry.
Grants:	Agencia Estatal de Investigación PID2022-137414OB-I00 Agencia Estatal de Investigación CEX2020-001084-M
Note:	Altres ajuts: acords transformatius de la UAB
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Arrival process ; Binomial thinning ; Birth-death process ; COM-Poissondistribution ; Count distributions ; State-dependent service rates ; Weighted Poisson distribution
Published in:	Scandinavian Journal of Statistics, (August 2023) , p. 1-23, ISSN 1467-9469

DOI: 10.1111/sjos.12677

23 p, 1.8 MB

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