Pardo Llorente, María del CarmenVajda, Igor2023-06-202023-06-202003-070018-944810.1109/TIT.2003.813509https://hdl.handle.net/20.500.14352/50258Abstract—Mutual asymptotic equivalence is established within three classes of information-theoretic divergences of discrete probability distributions, namely, -divergences of Csiszár, -divergences of Bregman, and -divergences of Burbea–Rao. These equivalences are used to find asymptotic distributions of the corresponding divergence statistics for testing the goodness of fit when the hypothetic distribution is uniform. All results are based on standard expansion techniques and on a new relation between the Bregman and Burbea–Rao divergences formulated in Lemma 2.engjournal articlehttp://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1207389http://ieeexplore.ieee.org/Xplore/home.jsprestricted access007Terms—Asymptotic distributionsAsymptotic equivalenceBregman divergencesBurbea–Rao divergencesDivergences of CsiszárDivergence statistics.Teoría de la información5910.01 Información