Please use this identifier to cite or link to this item: 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)
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