gstools.tools.tplstable_cor

gstools.tools.tplstable_cor(r, len_scale, hurst, alpha)[source]

Calculate the correlation function of the TPLStable model.

Given by the following correlation function:

\[\rho(r) = \frac{2H}{\alpha} \cdot E_{1+\frac{2H}{\alpha}} \left(\left(\frac{r}{\ell}\right)^{\alpha} \right)\]
Parameters:

  • r (numpy.ndarray) – input values

  • len_scale (float) – length-scale of the model.

  • hurst (float) – Hurst coefficient of the power law.

  • alpha (float, optional) – Shape parameter of the stable model.