File:Sech squared a arctanh.png

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Summary

This is a plot comparing a histogram of real data with a normal distribution, a logistic distribution, and a distribution defined as

f(x;μ,s)=a4scosh2[asinh1(xμ2s)](xμ)24s2+1

...where a=1.6,sσ/2.25=2σ/3.

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