Tsallis statistics

The parameter q represents the degree of non-extensivity of the distribution.

Tsallis statistics are useful for characterising complex, anomalous diffusion.

The q-deformed exponential and logarithmic functions were first introduced in Tsallis statistics in 1994.

, proposed by George Box and David Cox in 1964.

[2] The q-exponential is a deformation of the exponential function using the real parameter q.

[3] Note that the q-exponential in Tsallis statistics is different from a version used elsewhere.

The q-logarithm is the inverse of q-exponential and a deformation of the logarithm using the real parameter q.