Title
The Geometric ArcTan distribution with applications to model demand for health services
Abstract
In this paper , a new discrete two-parameter distribution alpha is an element of R - {0} and 0 < theta < 1, the Geometric ArcTan (GAT) distribution is introduced. The geometric distribution is a limiting case of this model when alpha 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.
Year
DOI
Venue
2019
10.1080/03610918.2017.1406509
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
Field
DocType
Estimation,Geometric Distribution,Medical Care,Negative Binomial Distribution,Overdispersion,Regression
Econometrics,Health services,Mathematics,Inverse trigonometric functions
Journal
Volume
Issue
ISSN
48.0
4.0
0361-0918
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Emilio Gómez-Déniz143.59
José María Sarabia2367.61
enrique calderinojeda301.01