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)
Appears in Collections:Artículos
Thumbnail
pdf
Adobe PDF (695,97 kB)
Show full item record

SCOPUSTM   
Citations

3
checked on Sep 26, 2021

Page view(s)

91
checked on Sep 11, 2021

Download(s)

56
checked on Sep 11, 2021

Google ScholarTM

Check

Altmetric


Share



Export metadata



Items in accedaCRIS are protected by copyright, with all rights reserved, unless otherwise indicated.