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The analogues of entropy and of Fisher’s information measure in free probability theory. I. (English) Zbl 0781.60006
Summary: Analogues of the entropy and Fisher information measure for random variables in the context of free probability theory are introduced. Monotonicity properties and an analogue of the Cramér-Rao inequality are proved.

MSC:
60A99 Foundations of probability theory
94A17 Measures of information, entropy
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