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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Persistent link: https://EconPapers.repec.org/RePEc:spr:waterr:v:27:y:2013:i:5:p:1363-1376
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DOI: 10.1007/s11269-012-0242-7
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