Maxwell#
- class pymc_extras.distributions.Maxwell(name, a, **kwargs)[source]#
The Maxwell-Boltzmann distribution
The pdf of this distribution is
\[f(x \mid a) = {\displaystyle {\sqrt {\frac {2}{\pi }}}\,{\frac {x^{2}}{a^{3}}}\,\exp \left({\frac {-x^{2}}{2a^{2}}}\right)}\]Read more about it on Wikipedia
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Source code,png,hires.png,pdf)
Support
\(x \in (0, \infty)\)
Mean
\(2a \sqrt{\frac{2}{\pi}}\)
Variance
\(\frac{a^2(3 \pi - 8)}{\pi}\)
- Parameters:
a (tensor_like of float) – Scale parameter (a > 0).
- __init__()#
Methods
__init__()dist(a, **kwargs)maxwell_dist(a, size)
