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The Kaniadakis exponential distribution (or κ-exponential distribution) is a probability distribution arising from the maximization of the 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 κ-exponential distribution of Type I is a particular case of the κ-Gamma distribution, whilst the κ-exponential distribution of Type II is a particular case of the κ-Weibull distribution.

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  • Kaniadakis exponential distribution (en)
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  • The Kaniadakis exponential distribution (or κ-exponential distribution) is a probability distribution arising from the maximization of the 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 κ-exponential distribution of Type I is a particular case of the κ-Gamma distribution, whilst the κ-exponential distribution of Type II is a particular case of the κ-Weibull distribution. (en)
name
  • κ-exponential distribution of type I (en)
  • κ-exponential distribution of type II (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Kaniadakis_Exponential_Distribution_Type_II_cdf.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Kaniadakis_Exponential_Distribution_Type_II_pdf.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Kaniadakis_Exponential_Distribution_Type_I_cdf.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Kaniadakis_Exponential_Distribution_Type_I_pdf.png
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  • density (en)
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  • The Kaniadakis exponential distribution (or κ-exponential distribution) is a probability distribution arising from the maximization of the 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 κ-exponential distribution of Type I is a particular case of the κ-Gamma distribution, whilst the κ-exponential distribution of Type II is a particular case of the κ-Weibull distribution. (en)
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  • File:Kaniadakis Exponential Distribution Type I cdf.png (en)
  • File:Kaniadakis Exponential Distribution Type II cdf.png (en)
parameters
  • rate (en)
  • shape (en)
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  • File:Kaniadakis Exponential Distribution Type I pdf.png (en)
  • File:Kaniadakis Exponential Distribution Type II pdf.png (en)
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