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oai:docta.ucm.es:20.500.14352/502582023-08-11T00:12:36Zcom_20.500.14352_14col_20.500.14352_15

Pardo Llorente, María del Carmen Vajda, Igor 2023-06-20T09:43:43Z 2023-06-20T09:43:43Z 2003-07 0018-9448 10.1109/TIT.2003.813509 https://hdl.handle.net/20.500.14352/50258 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1207389 http://ieeexplore.ieee.org/Xplore/home.jsp Abstract—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. eng restricted access On asymptotic properties of information-theoretic divergences journal article