Flexible Power-Normal Models with Applications

被引：0

作者：

Martinez-Florez, Guillermo ^{[1
]}

Gallardo, Diego I. ^{[2
]}

Venegas, Osvaldo ^{[3
]}

Bolfarine, Heleno ^{[4
]}

Gomez, Hector W. ^{[5
]}

机构：

[1] Univ Cordoba, Fac Ciencias, Dept Matemat Estadist, Cordoba 2300, Colombia

[2] Univ Atacama, Fac Ingn, Dept Matemat, Copiapo 1530000, Chile

[3] Univ Catolica Temuco, Fac Ingn, Dept Ciencias Matemat Fis, Temuco 4780000, Chile

[4] Univ Sao Paulo, Dept Estat, IME, BR-05508090 Sao Paulo, Brazil

[5] Univ Antofagasta, Fac Ciencias Basicas, Dept Matemat, Antofagasta 1240000, Chile

来源：

MATHEMATICS | 2021年 / 9卷 / 24期

关键词：

power normal distribution; bimodal asymmetric distribution; moments; maximum likelihood estimators; fisher information matrix; SKEW; DISTRIBUTIONS;

D O I：

10.3390/math9243183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main object of this paper is to propose a new asymmetric model more flexible than the generalized Gaussian model. The probability density function of the new model can assume bimodal or unimodal shapes, and one of the parameters controls the skewness of the model. Three simulation studies are reported and two real data applications illustrate the flexibility of the model compared with traditional proposals in the literature.

引用

页数：15

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