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

摘要

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. Crovelli's bivariate gamma distribution; Sums of random variables; Products of random variables;