Name
Title | ||
|---|---|---|
A Family of Skew-Normal Distributions for Modeling Proportions and Rates with Zeros/Ones Excess. |
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. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.3390/sym12091439 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
beta distribution,centered skew-normal distribution,maximum-likelihood methods,Monte Carlo simulations,proportions,R software,rates,zero,one inflated data | Journal | 12 |
Issue | Citations | PageRank |
9 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guillermo Martínez-Flórez | 1 | 0 | 0.34 |
| VíCtor Leiva | 2 | 138 | 19.85 |
| Emilio Gómez-Déniz | 3 | 4 | 3.59 |
| Carolina Marchant | 4 | 12 | 2.42 |