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Water Resources Management

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01-03-2013

Sums, Products and Ratios for Crovelli’s Bivariate Gamma Distribution

Authors: Ana Paula C. Madeira Silva, Jailson de Araujo Rodrigues, Lucas Monteiro Chaves, Devanil Jaques de Souza

Published in: Water Resources Management | Issue 5/2013

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Abstract

Bivariate gamma distributions have been used successfully on modeling hydrological processes. In this work, supposing that X and Y follow the Crovelli’s bivariate gamma model, we deduce the exact distributions of the functions U = X + Y, P = XY and Q = X/(X + Y), as well as their respective moments. Those functions are important hidrological variables. A MAPLE code to compute the quantiles is provided. An application of the results is provided to rainfall data from Passo Fundo.

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Title: Sums, Products and Ratios for Crovelli’s Bivariate Gamma Distribution
Authors: Ana Paula C. Madeira Silva
Jailson de Araujo Rodrigues
Lucas Monteiro Chaves
Devanil Jaques de Souza
Publication date: 01-03-2013
Publisher: Springer Netherlands
Published in: Water Resources Management / Issue 5/2013
Print ISSN: 0920-4741
Electronic ISSN: 1573-1650
DOI: https://doi.org/10.1007/s11269-012-0242-7

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