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Lower bounds on Information Divergence
Peter Harremoës, Christophe Vignat
In this paper we establish lower bounds on information divergence from a distribution to certain important classes of distributions as Gaussian, exponential, Gamma, Poisson, geomet…
Joint Range of Rényi Entropies
Peter Harremoës
The exact range of the joined values of several Rényi entropies is determined. The method is based on topology with special emphasis on the orientation of the objects studied. Like…
Testing Goodness-of-Fit via Rate Distortion
Peter Harremoes
A framework is developed using techniques from rate distortion theory in statistical testing. The idea is first to do optimal compression according to a certain distortion function…
Regret and Jeffreys Integrals in Exp. Families
Peter Grunwald, Peter Harremoes
The problem of whether minimax redundancy, minimax regret and Jeffreys integrals are finite or infinite are discussed.