Sampling

Random number sampling using Olver & Townsend 2013. The following code samples 10,000 from a PDF given as the absolute value of the sine function on [-5,5]:

using ApproxFun

f = abs(Fun(sin,-5..5))
x = ApproxFun.sample(f, 10000);

We plot a histogram of the samples

import Plots
Plots.histogram(x; bins=100, normalize = :pdf,
    title = "Histogram", xlabel="value", ylabel="frequency",
    xlim = (-5,5), ylim=(0, Inf), legend = false)
Plots.plot!(f/sum(f), linewidth=3)

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