TsallisEntropyEstimator

class infomeasure.estimators.entropy.TsallisEntropyEstimator(*data, k: int = 4, q: float | int = None, base: int | float | str = 'e')

Bases: EntropyEstimator

Estimator for the Tsallis entropy.

Attributes:

*dataarray_like

The data used to estimate the entropy.

kint

The number of nearest neighbors used in the estimation.

qfloat

The Tsallis parameter, order or exponent. Sometimes denoted as \(q\), analogous to the Rényi parameter \(\alpha\).

Raises:

ValueError

If the Tsallis parameter is not a positive number.

ValueError

If the number of nearest neighbors is not a positive integer.

Notes

In the \(q \to 1\) limit, the Jackson sum (q-additivity) reduces to ordinary summation, and the Tallis entropy reduces to Shannon Entropy. This class of entropy measure is in particularly useful in the study in connection with long-range correlated systems and with non-equilibrium phenomena.