The exponentiated generalized family of continuous distributions

Statistical and applied researchers have shown great interest in building new extended probability models that generalize well-known distributions and are more flexible for data modeling in many fields of applications. Probably, one of the most popular ways to extend well-known models is to consider d...

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Main Author: ANDRADE, Thiago Alexandro Nascimento de
Other Authors: CORDEIRO, Gauss Moutinho
Format: doctoralThesis
Language: por
Published: Universidade Federal de Pernambuco 2018
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Online Access: https://repositorio.ufpe.br/handle/123456789/23659
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spelling ir-123456789-236592019-10-26T01:57:28Z The exponentiated generalized family of continuous distributions ANDRADE, Thiago Alexandro Nascimento de CORDEIRO, Gauss Moutinho http://lattes.cnpq.br/4071377520425351 http://lattes.cnpq.br/3268732497595112 Estatística matemática Distribuições exponencializadas Statistical and applied researchers have shown great interest in building new extended probability models that generalize well-known distributions and are more flexible for data modeling in many fields of applications. Probably, one of the most popular ways to extend well-known models is to consider distribution generators. Aclass of univariate distributions called the exponentiated generalized (EG for short) class was recently proposed in the literature. We believe that the EG class of distributions can be widely used to generalize continuous distributions. For this reason, the present doctoral thesis presents some extended models using the EG class. For each model presented in the chapters that follow, we provide a complete mathematical treatment, simulation studies and applications to real data that illustrate the usefulness of the model sunder study. CAPES Estatísticos e pesquisadores aplicados têm mostrado grande interesse em propor novos modelos de probabilidade estendidos que generalizam distribuições bem estabelecidas na literatura. Provavelmente, uma das formas mais populares de estender modelos bem conhecido sé considerando os chama dos geradores de distribuições. Uma classe de distribuições univariadas chamada de classe exponencializada generalizada (EG) foi proposta recentemente na literatura. Acreditamos que a classe EG de distribuições pode ser amplamente utilizada para generalizar distribuições contínuas. Por esta razão, a presente tese de doutorado apresenta alguns modelos estendidos usando a classe EG. Para cada modelo apresentado nos capítulos que se seguem, fornecemos um tratamento matemático completo, estudos de simulação e aplicações a dados reais que ilustram a utilidade dos modelos em estudo. 2018-02-16T19:31:09Z 2018-02-16T19:31:09Z 2017-01-16 doctoralThesis https://repositorio.ufpe.br/handle/123456789/23659 por Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ application/pdf Universidade Federal de Pernambuco UFPE Brasil Programa de Pos Graduacao em Estatistica
institution REPOSITORIO UFPE
collection REPOSITORIO UFPE
language por
topic Estatística matemática
Distribuições exponencializadas
spellingShingle Estatística matemática
Distribuições exponencializadas
ANDRADE, Thiago Alexandro Nascimento de
The exponentiated generalized family of continuous distributions
description Statistical and applied researchers have shown great interest in building new extended probability models that generalize well-known distributions and are more flexible for data modeling in many fields of applications. Probably, one of the most popular ways to extend well-known models is to consider distribution generators. Aclass of univariate distributions called the exponentiated generalized (EG for short) class was recently proposed in the literature. We believe that the EG class of distributions can be widely used to generalize continuous distributions. For this reason, the present doctoral thesis presents some extended models using the EG class. For each model presented in the chapters that follow, we provide a complete mathematical treatment, simulation studies and applications to real data that illustrate the usefulness of the model sunder study.
author2 CORDEIRO, Gauss Moutinho
format doctoralThesis
author ANDRADE, Thiago Alexandro Nascimento de
author_sort ANDRADE, Thiago Alexandro Nascimento de
title The exponentiated generalized family of continuous distributions
title_short The exponentiated generalized family of continuous distributions
title_full The exponentiated generalized family of continuous distributions
title_fullStr The exponentiated generalized family of continuous distributions
title_full_unstemmed The exponentiated generalized family of continuous distributions
title_sort exponentiated generalized family of continuous distributions
publisher Universidade Federal de Pernambuco
publishDate 2018
url https://repositorio.ufpe.br/handle/123456789/23659
_version_ 1648654942364237824
score 13.657419