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Normal-G Class of Probability Distributions: Properties and Applications

Modified Power-Symmetric Distribution

Department of Quantitative Methods in Economics and TIDES Institute, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Spain
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
Centre for Actuarial Studies, Department of Economics, The University of Melbourne, Melbourne, VIC 3010, Australia
Author to whom correspondence should be addressed.
Symmetry 2019, 11(11), 1410;
Received: 2 October 2019 / Revised: 8 November 2019 / Accepted: 13 November 2019 / Published: 15 November 2019
In this paper, a general class of modified power-symmetric distributions is introduced. By choosing as symmetric model the normal distribution, the modified power-normal distribution is obtained. For the latter model, some of its more relevant statistical properties are examined. Parameters estimation is carried out by using the method of moments and maximum likelihood estimation. A simulation analysis is accomplished to study the performance of the maximum likelihood estimators. Finally, we compare the efficiency of the modified power-normal distribution with other existing distributions in the literature by using a real dataset. View Full-Text
Keywords: maximum likelihood; kurtosis; power-normal distribution maximum likelihood; kurtosis; power-normal distribution
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MDPI and ACS Style

Gómez-Déniz, E.; Iriarte, Y.A.; Calderín-Ojeda, E.; Gómez, H.W. Modified Power-Symmetric Distribution. Symmetry 2019, 11, 1410.

AMA Style

Gómez-Déniz E, Iriarte YA, Calderín-Ojeda E, Gómez HW. Modified Power-Symmetric Distribution. Symmetry. 2019; 11(11):1410.

Chicago/Turabian Style

Gómez-Déniz, Emilio, Yuri A. Iriarte, Enrique Calderín-Ojeda, and Héctor W. Gómez 2019. "Modified Power-Symmetric Distribution" Symmetry 11, no. 11: 1410.

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