Editing Gumbel distribution (section)

===Probability paper===
[[File:Gumbel paper.JPG|thumb|320px|A piece of graph paper that incorporates the Gumbel distribution.]]

In pre-software times probability paper was used to picture the Gumbel distribution (see illustration). The paper is based on linearization of the cumulative distribution function <math>F</math> :
: <math> -\ln(-\ln(F)) = \frac{x-\mu}\beta </math>
In the paper the horizontal axis is constructed at a double log scale. The vertical axis is linear. By plotting <math>F</math> on the horizontal axis of the paper and the <math>x</math>-variable on the vertical axis, the distribution is represented by a straight line with a slope 1<math>/\beta</math>. When [[distribution fitting]] software like [[CumFreq]] became available, the task of plotting the distribution was made easier.