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

On asymptotic properties of information-theoretic divergences Pardo Llorente, María del Carmen Vajda, Igor 007 Terms—Asymptotic distributions Asymptotic equivalence Bregman divergences Burbea–Rao divergences Divergences of Csiszár Divergence statistics. Teoría de la información 5910.01 Información 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. Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:43:43Z 2023-06-20T09:43:43Z 2003-07 journal article https://hdl.handle.net/20.500.14352/50258 0018-9448 10.1109/TIT.2003.813509 eng restricted access application/pdf Institute of Electrical and Electronics Engineers