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Volume 12
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Article

A Gamma-Type Distribution with Applications

by
Yuri A. Iriarte
1,
Héctor Varela
1,*,
Héctor J. Gómez
2 and
Héctor W. Gómez
1
1
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
2
Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, Chile
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(5), 870; https://doi.org/10.3390/sym12050870
Submission received: 5 March 2020 / Revised: 28 April 2020 / Accepted: 6 May 2020 / Published: 25 May 2020
(This article belongs to the Special Issue Symmetric and Asymmetric Distributions: Theoretical Developments and Applications II)
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Abstract

This article introduces a new probability distribution capable of modeling positive data that present different levels of asymmetry and high levels of kurtosis. A slashed quasi-gamma random variable is defined as the quotient of independent random variables, a generalized gamma is the numerator, and a power of a standard uniform variable is the denominator. The result is a new three-parameter distribution (scale, shape, and kurtosis) that does not present the identifiability problem presented by the generalized gamma distribution. Maximum likelihood (ML) estimation is implemented for parameter estimation. The results of two real data applications revealed a good performance in real settings.
Keywords: asymmetry; generalized gamma distribution; kurtosis; maximum likelihood estimation; slash distribution asymmetry; generalized gamma distribution; kurtosis; maximum likelihood estimation; slash distribution

Share and Cite

MDPI and ACS Style

Iriarte, Y.A.; Varela, H.; Gómez, H.J.; Gómez, H.W. A Gamma-Type Distribution with Applications. Symmetry 2020, 12, 870. https://doi.org/10.3390/sym12050870

AMA Style

Iriarte YA, Varela H, Gómez HJ, Gómez HW. A Gamma-Type Distribution with Applications. Symmetry. 2020; 12(5):870. https://doi.org/10.3390/sym12050870

Chicago/Turabian Style

Iriarte, Yuri A., Héctor Varela, Héctor J. Gómez, and Héctor W. Gómez. 2020. "A Gamma-Type Distribution with Applications" Symmetry 12, no. 5: 870. https://doi.org/10.3390/sym12050870

APA Style

Iriarte, Y. A., Varela, H., Gómez, H. J., & Gómez, H. W. (2020). A Gamma-Type Distribution with Applications. Symmetry, 12(5), 870. https://doi.org/10.3390/sym12050870

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