Distribuição bivariada gama beta II: soma, produto e proporção das variáveis componentes

A. P. M. Silva, J. A. Rodrigues, L. M. Chaves, D. J. Souza

Abstract


Os modelos bivariados tem sido utilizados com sucesso na análise de processos hidrológicos. Neste trabalho, são deduzidas as distribuições exatas das variáveis U = X + Y, P = XY e Q = X/(X + Y) juntamente com seus respectivos momentos quando X e Y seguem o modelo bivariado gama beta II. Essas funções descrevem importantes variáveis hidrológicas. Os resultados obtidos são aplicados em dados de precipitações pluviométricas ocorridas
na cidade de Passo Fundo - RS.

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DOI: https://doi.org/10.5540/tema.2013.014.01.0095

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