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The objective of this text is to propose and study goodness-of-fit tests forDBP, which are consistent. Since the probability generating function (fgp)characterizes the distribution of a random vector and can be estimatedconsistently by the empirical probability generating function (fgpe), the testswe propose are functions of the fgpe. The first statistical test compares thefgpe of the data with an estimator of the fgp of the DPB. Then, we show thatthe fgp of the DPB is the only fgp that satisfies a certain system of partialdifferential equations, which leads us to propose two statistical tests basedon the empirical analogy of this system, one of them Cramer-von Mises type andthe other is based on the coefficients of the polynomials of the empiricalversion. The tests we propose can be seen as extensions to the bivariate caseof some goodness of fit tests designed for the univariate case.

Tests de bondad de ajuste para la distribuci\'on Poisson bivariante