q-Deformed Distributions

Jan Naudts ()
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Jan Naudts: University of Antwerp, Physics Department

Chapter Chapter 7 in Generalised Thermostatistics, 2011, pp 95-114 from Springer

Abstract: Abstract The q-deformed exponential and logarithmic functions are introduced. Their properties are studied. They form the basis to define the q-exponential families. The notion of escort probability distributions is explained. The q-Gaussian and the q-Maxwellian are given as examples. The relevance of the q-deformed exponential family for closed systems of classical mechanics is demonstrated.

Keywords: Logarithmic Function; Exponential Family; Multiplicative Noise; Dual Exponential Function; Average Kinetic Energy (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-0-85729-355-8_7

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