Neat! Still, I wouldn't say the Planck distribution is noticeably better. The reason the other 4 distributions appear to have the peak too low is because they're doing a tradeoff: they do that to better fit the values of the left hand side of the graph.
The Planck fit gets the peak height right, but mainly because it has no chance of fitting the left hand side at all (since it increases much more slowly than the other distributions), so it doesn't even try.
This is why I said it would be better to have actual statistical tests -- we shouldn't have to have this kind of qualitative discussion when it's already a solved problem.
The Planck fit gets the peak height right, but mainly because it has no chance of fitting the left hand side at all (since it increases much more slowly than the other distributions), so it doesn't even try.
This is why I said it would be better to have actual statistical tests -- we shouldn't have to have this kind of qualitative discussion when it's already a solved problem.