![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/d/d9/The_Probability_Density_Function_of_q-exponential_distribution.svg/640px-The_Probability_Density_Function_of_q-exponential_distribution.svg.png&w=640&q=50)
q-exponential distribution
From Wikipedia, the free encyclopedia
The q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including constraining the domain to be positive. It is one example of a Tsallis distribution. The q-exponential is a generalization of the exponential distribution in the same way that Tsallis entropy is a generalization of standard Boltzmann–Gibbs entropy or Shannon entropy.[1] The exponential distribution is recovered as
Quick Facts Parameters, Support ...
Probability density function ![]() | |||
Parameters |
| ||
---|---|---|---|
Support |
| ||
| |||
CDF |
| ||
Mean |
Otherwise undefined | ||
Median |
| ||
Mode | 0 | ||
Variance |
| ||
Skewness |
| ||
Excess kurtosis |
|
Close
Originally proposed by the statisticians George Box and David Cox in 1964,[2] and known as the reverse Box–Cox transformation for a particular case of power transform in statistics.