Probability distributions with non-finite variance | Continuous distributions

Q-exponential distribution

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. The exponential distribution is recovered as Originally proposed by the statisticians George Box and David Cox in 1964, and known as the reverse Box–Cox transformation for a particular case of power transform in statistics. (Wikipedia).

Q-exponential distribution
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From playlist Continuous Random Variables

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From playlist Distributions (10 videos)

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Related pages

Tsallis entropy | Tsallis distribution | David Cox (statistician) | Generalized Pareto distribution | Inverse transform sampling | Lomax distribution | Power transform | Real number | Entropy (statistical thermodynamics) | Pareto distribution | Copula (probability theory) | Entropy (information theory) | Probability distribution | Exponential distribution | Shape parameter