TY - JOUR
T1 - A family of skew-normal distributions for modeling proportions and rates with zeros/ones excess
AU - Martínez-Flórez, Guillermo
AU - LEIVA SANCHEZ, VICTOR ELISEO
AU - Gómez-Déniz, Emilio
AU - Marchant, Carolina
N1 - Publisher Copyright:
© 2020 by the authors.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/9
Y1 - 2020/9
N2 - 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.
AB - 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.
KW - Beta distribution
KW - Centered skew-normal distribution
KW - Maximum-likelihood methods
KW - Monte Carlo simulations
KW - Proportions
KW - R software
KW - Rates
KW - Zero/one inflated data
UR - http://www.scopus.com/inward/record.url?scp=85091013315&partnerID=8YFLogxK
U2 - 10.3390/sym12091439
DO - 10.3390/sym12091439
M3 - Article
AN - SCOPUS:85091013315
VL - 12
JO - Symmetry
JF - Symmetry
SN - 2073-8994
IS - 9
M1 - 1439
ER -