RT Journal Article T1 On asymptotic properties of information-theoretic divergences A1 Pardo Llorente, María del Carmen A1 Vajda, Igor AB 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 fortesting 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. PB Institute of Electrical and Electronics Engineers SN 0018-9448 YR 2003 FD 2003-07 LK https://hdl.handle.net/20.500.14352/50258 UL https://hdl.handle.net/20.500.14352/50258 LA eng DS Docta Complutense RD 8 jun 2025