Modelo alfa normal assimétrico multivariado para redes de classificação

In this Thesis we expose the proposition of a new class of probability distributions, the so called alpha skew normal multivariate, an extension of the univariate Normal Alpha distribution, introduced by Elal-Olivero (2010). It can accommodates up to two modes and generalizes the distribution propos...

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Detalles Bibliográficos
Autor: Souza, Anderson Luiz Ara
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2016
País:Brasil
Institución:Universidade Federal de São Carlos (UFSCAR)
Repositorio:Repositório Institucional da UFSCAR
Idioma:portugués
OAI Identifier:oai:repositorio.ufscar.br:20.500.14289/7760
Acceso en línea:https://repositorio.ufscar.br/handle/20.500.14289/7760
Access Level:acceso abierto
Palabra clave:Distribuição Multivariada
Inferência Estatística
Assimetria
Bimodalidade
Data mining
CIENCIAS EXATAS E DA TERRA
Descripción
Sumario:In this Thesis we expose the proposition of a new class of probability distributions, the so called alpha skew normal multivariate, an extension of the univariate Normal Alpha distribution, introduced by Elal-Olivero (2010). It can accommodates up to two modes and generalizes the distribution proposed by Elal-Olivero in its marginal components. In addition, we apply this new distribution in the construction of two new data mining methods for classi cation. The procedures developed here increment the predictive ability of the classi cation in the presence of asymmetric and / or bimodal data. The results indicate that the new proposal is signi cantly more appropriate than the usual modeling by classical normal distribution, and is also suitable for datasets without the presence of asymmetry. In this thesis it is shown, using real and synthetic data, the procedures of construction, estimation and validation for the new probability distribution and for probabilistic networks for binary classi cations, particularly for the k-dependence probabilistic networks.