A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution

A generalized gamma (GG) distribution of four parameters was first introduced by Amoroso 1925, and since then, different distributions emerged as subclasses of this model. This model is commonly used to model lifetime data or data with a right skewed unimodal density function. In this article, we us...

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Autores principales:	Lagos Álvarez,B, Ferreira,G, Valenzuela Hube,M
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2011
Materias:	Gamma distribution likelihood estimators Moment estimators Probability weighted moment estimators Weighted least squares estimators Water pollution and watershed.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300009
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spelling	oai:scielo:S0716-091720110003000092012-06-18A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollutionLagos Álvarez,BFerreira,GValenzuela Hube,M Gamma distribution likelihood estimators Moment estimators Probability weighted moment estimators Weighted least squares estimators Water pollution and watershed. A generalized gamma (GG) distribution of four parameters was first introduced by Amoroso 1925, and since then, different distributions emerged as subclasses of this model. This model is commonly used to model lifetime data or data with a right skewed unimodal density function. In this article, we use a reparameterization of the GG distribution that is compared with other usual two-parameter distributions, Weibull, generalized exponential (Gupta and Kundu 1999), and gamma, using a real data set with a high coefficient of asymmetry and kurtosis (Valenzuela M. 2009). Akaike's information criterion and Bayesian information criterion indicates that our reparametrization of the gamma distribution is better. Besides a Monte Carlo simulation study, shows the behavior of five estimation methods: least squared, weighted least squared, moments, probability weighted moments and maximum likelihood methods.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.3 20112011-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300009en10.4067/S0716-09172011000300009
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Gamma distribution likelihood estimators Moment estimators Probability weighted moment estimators Weighted least squares estimators Water pollution and watershed.
spellingShingle	Gamma distribution likelihood estimators Moment estimators Probability weighted moment estimators Weighted least squares estimators Water pollution and watershed. Lagos Álvarez,B Ferreira,G Valenzuela Hube,M A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution
description	A generalized gamma (GG) distribution of four parameters was first introduced by Amoroso 1925, and since then, different distributions emerged as subclasses of this model. This model is commonly used to model lifetime data or data with a right skewed unimodal density function. In this article, we use a reparameterization of the GG distribution that is compared with other usual two-parameter distributions, Weibull, generalized exponential (Gupta and Kundu 1999), and gamma, using a real data set with a high coefficient of asymmetry and kurtosis (Valenzuela M. 2009). Akaike's information criterion and Bayesian information criterion indicates that our reparametrization of the gamma distribution is better. Besides a Monte Carlo simulation study, shows the behavior of five estimation methods: least squared, weighted least squared, moments, probability weighted moments and maximum likelihood methods.
author	Lagos Álvarez,B Ferreira,G Valenzuela Hube,M
author_facet	Lagos Álvarez,B Ferreira,G Valenzuela Hube,M
author_sort	Lagos Álvarez,B
title	A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution
title_short	A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution
title_full	A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution
title_fullStr	A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution
title_full_unstemmed	A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution
title_sort	proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300009
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A proposed reparametrization of gamma distribution for the analysis of data of rainfall-runoff driven pollution

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