The first such generalized (parameterized) measure of divergence, or 'gain of information', was proposed by Renyi (1961, 1970). However, Renyi's measure is ...
This chapter provides an overview of problem of inference. It reviews the basis of statistical inference and some testing hypotheses. The real inference problem ...
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Abstract. The concept of maximum Renyi information gain from quantum key is important in eavesdropping and security analyses of quantum key distribution.
In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, ...
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However Renyi's diver- gence and MI are not as general as KL because Shannon measure of information is the only one for which the increase in information is.
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Aug 23, 2022 · The Renyi entropy coprises a group of data estimates that sums up the well-known Shannon entropy, acquiring a considerable lot of its properties ...
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We introduce below a generalized form of Fisher information associated with Renyi entropy and that is, in some sense, dual to the p–th moment. A generalization ...
In this section we collect the basic definitions and well known results needed in what follows. Let S — (i2, j/, P) be a probability space, ...
We derive the systematic corrections to estimates of generalized (Renyi) entropies and to generalized dimensions Dq from finite data sets.