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http://hdl.handle.net/10553/75499
Title: | A family of skew-normal distributions for modeling proportions and rates with zeros/ones excess | Authors: | Martínez-Flórez, Guillermo Leiva, Víctor Gómez-Déniz, Emilio Marchant, Carolina |
UNESCO Clasification: | 5302 Econometría | Keywords: | Beta Distribution Centered Skew-Normal Distribution Maximum-Likelihood Methods Monte Carlo Simulations Proportions, et al |
Issue Date: | 2020 | Journal: | Symmetry | Abstract: | In this paper, we consider skew-normal distributions for constructing new a distribution which allows us to model proportions and rates with zero/one inflation as an alternative to the inflated beta distributions. The new distribution is a mixture between a Bernoulli distribution for explaining the zero/one excess and a censored skew-normal distribution for the continuous variable. The maximum likelihood method is used for parameter estimation. Observed and expected Fisher information matrices are derived to conduct likelihood-based inference in this new type skew-normal distribution. Given the flexibility of the new distributions, we are able to show, in real data scenarios, the good performance of our proposal. | URI: | http://hdl.handle.net/10553/75499 | ISSN: | 2073-8994 | DOI: | 10.3390/sym12091439 | Source: | Symmetry [EISSN 2073-8994], v. 12 (9), 1439, (Septiembre 2020) |
Appears in Collections: | Artículos |
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