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A family of skew-normal distributions for modeling proportions and rates with zeros/ones excess
| dc.contributor.author | Martínez-Flórez, Guillermo | |
| dc.contributor.author | Leiva, Víctor | |
| dc.contributor.author | Gómez-Déniz, Emilio | |
| dc.contributor.author | Marchant-Fuentes, Carolina | |
| dc.date.accessioned | 2020-12-28T20:35:19Z | |
| dc.date.available | 2020-12-28T20:35:19Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/3382 | |
| dc.description.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. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | Symmetry, 12(9), 1439 | es_CL |
| dc.subject | Beta distribution | es_CL |
| dc.subject | Centered skew-normal distribution | es_CL |
| dc.subject | Maximum-likelihood methods | es_CL |
| dc.subject | Monte Carlo simulations | es_CL |
| dc.subject | Proportions | es_CL |
| dc.subject | R software | es_CL |
| dc.subject | Rates | es_CL |
| dc.subject | Zero/one inflated data | es_CL |
| dc.title | A family of skew-normal distributions for modeling proportions and rates with zeros/ones excess | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.indexacion | Isi | es_CL |
| dc.ucm.doi | doi.org/10.3390/sym12091439 | es_CL |
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