Propriedades das distribuições bivariadas de crovelli, gumbel tipo I e gama beta tipo II, com uma aplicação a dados de precipitação pluviométrica

One can find a lot of bivariate probability distributions when studying the pooled behavior of two random variables, as well as their sum, product or difference. In particular, such approach had been extensively used in hydrology, where the target variables are the run period and the inter consecuti...

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Detalles Bibliográficos
Autor: Silva, Ana Paula Coelho Madeira
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2011
País:Brasil
Institución:Universidade Federal de Lavras (UFLA)
Repositorio:Repositório Institucional da UFLA
Idioma:portugués
OAI Identifier:oai:repositorio.ufla.br:1/3816
Acceso en línea:https://repositorio.ufla.br/handle/1/3816
Access Level:acceso abierto
Palabra clave:CNPQ_NÃO_INFORMADO
Gama bivariada de crovelli
Exponencial bivariada gumbel tipo I
Distribuição bivariada gama beta II
Combinação de variáveis aleatórias, precipitação pluviométrica
Gama beta II bivariate distribution
Random variables combination
Rain precipitation
Descripción
Sumario:One can find a lot of bivariate probability distributions when studying the pooled behavior of two random variables, as well as their sum, product or difference. In particular, such approach had been extensively used in hydrology, where the target variables are the run period and the inter consecutive runs period. In this work we deduce properties for the Crovelli bivariate gamma model and the Gumbel Type I bivariate exponential model, as well as their sum, product and difference. Those properties are not described in specialized literature. We also introduce a new bivariate distribution, which we called gamma beta II. As an application, we fitted these three distributions to rain precipitation data. The results show acceptable behavior of those models