The maxwell-boltzmann distribution is given by 
(from MathWorld - A Wolfram Web Resource: wolfram.com)
. The scipy.stats.maxwell distribution uses loc and scale parameters to define this distribution. How are the parameters in the two definitions connected? I also would appreciate if someone could tell in general how to determine the relation between parameters in scipy.stats and their usual definition.
What are the loc and scale parameters in scipy.stats.maxwell?
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The
locparameter always shifts thexvariable. In other words, it generalizes the distribution to allow shiftingx=0tox=loc. So that whenlocis nonzero,becomes
The doc string for
scipy.stats.maxwellstates:So the scale corresponds to the parameter
ain the equation(from MathWorld - A Wolfram Web Resource: wolfram.com)
In general you need to read the distribution's doc string to know what parameters the distribution has. The beta distribution, for example, has
aandbshape parameters in addition tolocandscale.However, I believe for all continuous distributions,
distribution.pdf(x, loc, scale)is identically equivalent todistribution.pdf(y) / scalewithy = (x - loc) / scale.