Cool chart grids

[lewis]

I wanted to better understand the effects of the parameters for the gamma and Erlang distributions. I didn’t quite intuit the effects based on the formulas for the probability density function.

Carefully studying code examples for Plots, I amazingly got this to work first time, modulo font sizing on the leetle, teeny axes.

I did the same thing for the Erlang distribution but trust me, it is pretty similar and the code is identical except for references to the distribution.

I was delighted when it worked.

[Tamas_Papp]

I would consider plotting the density function directly (possibly on the same scale) — the noise from random draws just makes the graph more difficult to interpret.

[lewis]

Random draws are the point because that is how the distributions will be used. Important to see the typical spread. I chose gamma because fractional parameters allow more control over the shape than Erlang.