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http://hdl.handle.net/10553/35693
Title: | The Modified Borel-Tanner (MBT) regression model | Authors: | Gómez-Déniz, Emilio Vázquez-Polo, Francisco J. Garcia, Victoriano |
UNESCO Clasification: | 1209 Estadística | Keywords: | Borel-Tanner distribution Covariate Estimation |
Issue Date: | 2017 | Journal: | Revstat Statistical Journal | Abstract: | A new one-parameter family of discrete distributions is presented. It has some advantages against the Poisson distribution as a suitable model for modelling data with a high frequencies of zeros and showing over-dispersion (variance larger than the mean). The distribution is obtained from a simple modification of the Borel-Tanner distribution, which has not received attention from the statistical community in the past. We also propose a generalized regression model which can be used for a count dependent variable, when the above features are observed, as an alternative to the well-known Poisson regression model, among others. Maximum likelihood estimation is investigated and illustrated with an example of interrelation between fatalities in trucks accidents on American roads and some covariates considered. | URI: | http://hdl.handle.net/10553/35693 | ISSN: | 1645-6726 | Source: | Revstat Statistical Journal[ISSN 1645-6726],v. 15, p. 425-442 |
Appears in Collections: | Artículos |
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