Extended Generalized Sinh-Normal Distribution

Positively skewed data sets are common in different areas, and data sets such as material fatigue, reaction time, neuronal reaction time, agricultural engineering, and spatial data, among others, need to be fitted according to their features and maintain a good quality of fit. Skewness and bimodalit...

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Autores principales:	Guillermo Martínez-Flórez, David Elal-Olivero, Carlos Barrera-Causil
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	bimodality Birnbaum–Saunders maximum likelihood estimation moments positively skewed model sinh-normal distribution Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/09031dddaaa340c0acd3856576016547
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spelling	oai:doaj.org-article:09031dddaaa340c0acd38565760165472021-11-11T18:19:49ZExtended Generalized Sinh-Normal Distribution10.3390/math92127932227-7390https://doaj.org/article/09031dddaaa340c0acd38565760165472021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2793https://doaj.org/toc/2227-7390Positively skewed data sets are common in different areas, and data sets such as material fatigue, reaction time, neuronal reaction time, agricultural engineering, and spatial data, among others, need to be fitted according to their features and maintain a good quality of fit. Skewness and bimodality are two of the features that data sets like this could present simultaneously. So, flexible statistical models should be proposed in this sense. In this paper, a general extended class of the sinh-normal distribution is presented. Additionally, the asymmetric distribution family is extended, and as a natural extension of this model, the extended Birnbaum–Saunders distribution is studied as well. The proposed model presents a better goodness of fit compared to the other studied models.Guillermo Martínez-FlórezDavid Elal-OliveroCarlos Barrera-CausilMDPI AGarticlebimodalityBirnbaum–Saundersmaximum likelihood estimationmomentspositively skewed modelsinh-normal distributionMathematicsQA1-939ENMathematics, Vol 9, Iss 2793, p 2793 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	bimodality Birnbaum–Saunders maximum likelihood estimation moments positively skewed model sinh-normal distribution Mathematics QA1-939
spellingShingle	bimodality Birnbaum–Saunders maximum likelihood estimation moments positively skewed model sinh-normal distribution Mathematics QA1-939 Guillermo Martínez-Flórez David Elal-Olivero Carlos Barrera-Causil Extended Generalized Sinh-Normal Distribution
description	Positively skewed data sets are common in different areas, and data sets such as material fatigue, reaction time, neuronal reaction time, agricultural engineering, and spatial data, among others, need to be fitted according to their features and maintain a good quality of fit. Skewness and bimodality are two of the features that data sets like this could present simultaneously. So, flexible statistical models should be proposed in this sense. In this paper, a general extended class of the sinh-normal distribution is presented. Additionally, the asymmetric distribution family is extended, and as a natural extension of this model, the extended Birnbaum–Saunders distribution is studied as well. The proposed model presents a better goodness of fit compared to the other studied models.
format	article
author	Guillermo Martínez-Flórez David Elal-Olivero Carlos Barrera-Causil
author_facet	Guillermo Martínez-Flórez David Elal-Olivero Carlos Barrera-Causil
author_sort	Guillermo Martínez-Flórez
title	Extended Generalized Sinh-Normal Distribution
title_short	Extended Generalized Sinh-Normal Distribution
title_full	Extended Generalized Sinh-Normal Distribution
title_fullStr	Extended Generalized Sinh-Normal Distribution
title_full_unstemmed	Extended Generalized Sinh-Normal Distribution
title_sort	extended generalized sinh-normal distribution
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/09031dddaaa340c0acd3856576016547
work_keys_str_mv	AT guillermomartinezflorez extendedgeneralizedsinhnormaldistribution AT davidelalolivero extendedgeneralizedsinhnormaldistribution AT carlosbarreracausil extendedgeneralizedsinhnormaldistribution
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Extended Generalized Sinh-Normal Distribution

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