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.
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Naudts, J. (2011). q-Deformed Distributions. In: Generalised Thermostatistics. Springer, London. https://doi.org/10.1007/978-0-85729-355-8_7
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DOI: https://doi.org/10.1007/978-0-85729-355-8_7
Publisher Name: Springer, London
Print ISBN: 978-0-85729-354-1
Online ISBN: 978-0-85729-355-8
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