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It should be noted that the Landau distribution has no free parameters! Thus, the curve in the figure is wrong. There is no Landau distribution with a most probable value of 2 and a of 1. Actually the most probable value is (ROOT TMath::Landau()) around 0.222.
Just by scaling and shifting one can introduce artificially a most probable value and a width
The physics of high energy ionized particles going through a thin piece of material edit
Deserves its own page too, and link back and forth.82.171.225.84 (talk) 21:09, 16 August 2011 (UTC)
Derivation edit
Could someone who knows add a section on why this is the distribution of particles' energy loss travelling through a thin medium?
Approximate expression wrong? edit
Is there a mistake in the approximation given? (which is used for the figure).
This has a peak at x=-0.001 p=0.242. Whereas the integral (evaluated with scipy)
give a peak at x=-0.223, p=0.181 which agrees with GSL:
#!/usr/bin/env python import numpy from matplotlib import pyplot import pygsl.rng x = numpy.linspace(-4, 10, 1000) pyplot.plot(x, pygsl.rng.landau_pdf(x)) pyplot.show()
195.194.110.142 (talk) 14:15, 13 January 2015 (UTC)
Figure edit
The figure should show the parameter values used.
Properties Section edit
The properties section is unnecessary. All those properties follow from the Landau distributions being stable. Skewray (talk) 19:25, 29 July 2023 (UTC)
Wrong μ? edit
I have to set μ = π/2 log (π/2) in order to get the Landau distribution to match the parametrization given for stable distributions in the stable distributions article. Does this article use a different stable distribution parametrization? There are at least ten in use... Skewray (talk) 15:50, 4 October 2023 (UTC)