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Information gain within nonextensive thermostatistics. (English) Zbl 0938.82001
Summary: The authors discuss the information theoretical foundations of the Kullback information gain, recently generalized within a nonextensive thermostatistical formalism. General properties are studied and, in particular, a consistent test for measuring the degree of correlation between random variables is proposed. In addition, minimum entropy distributions are discussed and the H-theorem is proved within the generalized context.

MSC:
82B03Foundations of equilibrium statistical mechanics
82B30Statistical thermodynamics
81P68Quantum computation