2.2.5.1. Uniform Law

The Uniform law is defined between a minimum and a maximum, as

\[f(x)= \frac{1}{(x_{\rm max}-x_{\rm min})}{\rm 1\kern-0.28emI}_{[x_{\rm min},x_{\rm max}]}(x)\]

Uranie code to simulate an uniform random variable is:

tds = DataServer.TDataServer("tdssampler", "Sampler Uranie demo")
tds.addAttribute(DataServer.TUniformDistribution("u", -2., 3.))

fsamp = Sampler.TSampling(tds, "lhs", 300)
fsamp.generateSample()  # Create a representative sample 

tds.Draw("u")

Figure 2.5 shows the PDF, CDF and inverse CDF generated for a given set of parameters.

Figure 2.5 Example of PDF, CDF and inverse CDF for Uniform distributions.