The Flat (Uniform) Distribution

gsl_ran_flat(a, b)

This function returns a random variate from the flat (uniform) distribution from a to b. The distribution is,

\[p(x) dx = {1 \over (b-a)} dx\]

if \(a \leq x < b\) and \(0\) otherwise.

gsl_ran_flat_pdf(x, a, b)

This function computes the probability density \(p(x)\) at \(x\) for a uniform distribution from a to b, using the formula given above.

gsl_cdf_flat_P(x, a, b)

gsl_cdf_flat_Q(x, a, b)

gsl_cdf_flat_Pinv(P, a, b)

gsl_cdf_flat_Qinv(Q, a, b)

These functions compute the cumulative distribution functions \(P(x), Q(x)\) and their inverses for a uniform distribution from a to b.

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The Gamma Distribution

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The Lognormal Distribution