Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/41589
Title: The Geometric ArcTan distribution with applications to model demand for health services
Authors: Gómez-Déniz, E. 
Sarabia, J. M.
Calderín-Ojeda, Enrique
UNESCO Clasification: 12 Matemáticas
1209 Estadística
32 Ciencias médicas
Keywords: Estimation
Geometric Distribution
Medical Care
Negative Binomial
Distribution, et al
Issue Date: 2018
Project: Nuevos Desarrollos en Métodos Cuantitativos Bayesianos. Aplicaciónes en Evaluación Económica de Tratamientos Mediante Meta-Análisis y Medición de Riesgos Con Datos Actuariales 
ECO2013-48326-C2-2-P
Journal: Communications in Statistics Part B: Simulation and Computation 
Abstract: In this paper, a new discrete two–parameter distribution α ∈ ℜ − {0} and 0 < θ < 1, the Geometric ArcTan (GAT) distribution is introduced. The geometric distribution is a limiting case of this model when α tends to zero. Similarly to the the latter distribution, this probabilistic family is unimodal but the mode can be located at zero or in other point of the support. Then, after deriving some of its more relevant properties, the issue of parameter investigation is investigated. Next, the GAT distribution is used to explain the demand for health services by means of a regression model. Numerical results show that this new model outperforms the negative binomial distribution.
URI: http://hdl.handle.net/10553/41589
ISSN: 0361-0918
DOI: 10.1080/03610918.2017.1406509
Source: Communications in Statistics: Simulation and Computation[ISSN 0361-0918], v. 48(4), p. 1101-1120
URL: https://api.elsevier.com/content/abstract/scopus_id/85041098866
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