Kaniadakis Exponential distribution

Short description: Probability distribution

The Kaniadakis exponential distribution (or κ-exponential distribution) is a probability distribution arising from the maximization of the Kaniadakis entropy under appropriate constraints. It is one example of a Kaniadakis distribution. The κ-exponential is a generalization of the exponential distribution in the same way that Kaniadakis entropy is a generalization of standard Boltzmann–Gibbs entropy or Shannon entropy.

The exponential distribution is recovered as [math]\displaystyle{ \kappa \rightarrow 0. }[/math]