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

Ana Silva (), Jailson Rodrigues (), Lucas Chaves () and Devanil Souza ()

Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), 2013, vol. 27, issue 5, 1363-1376

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. Copyright Springer Science+Business Media Dordrecht 2013

Keywords: Crovelli’s bivariate gamma distribution; Sums of random variables; Products of random variables; Ratios of random variables; Moments (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11269-012-0242-7

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