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...
Main Author: | ANDRADE, Thiago Alexandro Nascimento de |
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Other Authors: | CORDEIRO, Gauss Moutinho |
Format: | doctoralThesis |
Language: | por |
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Universidade Federal de Pernambuco
2018
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https://repositorio.ufpe.br/handle/123456789/23659 |
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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 |
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Estatística matemática Distribuições exponencializadas |
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Estatística matemática Distribuições exponencializadas ANDRADE, Thiago Alexandro Nascimento de The exponentiated generalized family of continuous distributions |
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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 |