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Continuous probability distribution
κ-Erlang distribution
Probability density function
Plot of the κ-Erlang distribution for typical κ-values and n=1, 2,3. The case κ=0 corresponds to the ordinary Erlang distribution.
Parameters
Support
PDF
CDF
The Kaniadakis Erlang distribution (or κ-Erlang Gamma distribution) is a family of continuous statistical distributions, which is a particular case of the κ-Gamma distribution, when and positive integer.[1] The first member of this family is the κ-exponential distribution of Type I. The κ-Erlang is a κ-deformed version of the Erlang distribution. It is one example of a Kaniadakis distribution.
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and 12 Related for: Kaniadakis Erlang distribution information
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Global Information
![{\displaystyle \prod _{m=0}^{n}\left[1+(2m-n)\kappa \right]{\frac {x^{n-1}}{(n-1)!}}\exp _{\kappa }(-x)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ba97bcdb88422c8950cc33544e08ffbc857363d1)
![{\displaystyle {\frac {1}{(n-1)!}}\prod _{m=0}^{n}\left[1+(2m-n)\kappa \right]\int _{0}^{x}z^{n-1}\exp _{\kappa }(-z)dz}](https://wikimedia.org/api/rest_v1/media/math/render/svg/64fd09c0d514e090e369a57f4ac9e6e1d8d19ae1)
