Two-parameter Rayleigh distribution with location \(\mu\) and scale \(\sigma\). The distribution is lower-bounded at the location parameter. Fitting uses closed-form L-moment expressions derived from gamma-function relationships; the location is obtained from the first two L-moments and the scale from the second L-moment ratio.
The probability density function is: $$f(x) = \frac{x - \mu}{\sigma^2} \exp\left(-\frac{(x-\mu)^2}{2\sigma^2}\right), \quad x \ge \mu$$ where:
\(\mu\) — location parameter (
location)\(\sigma\) — scale parameter (
scale)