windkit.weibull.fit_weibull_wasp_m1_m3_fgtm

windkit.weibull.fit_weibull_wasp_m1_m3_fgtm(m1, m3, freq_gt_mean, atol=1e-08)

Fit weibull parameters from the first and third moments and the fraction of probability mass above the mean

Parameters:

• m1 (xarray.DataArray) – First moment / mean

• m3 (xarray.DataArray) – Third moment / skewness

• freq_gt_mean (xarray.DataArray) – Skewness term: frequency-mass that falls above the mean value

• atol (float) – Absolute tolerance for root-finding algorithm

Returns:

• A (xarray.DataArray) – Weibull scale parameter

• k (xarray.DataArray) – Weibull shape parameter

Notes

This function has the optional dependency ‘numba’. If numba is installed, the function will use a numba-compiled version of the algorithm which is much faster. If numba is not installed, the function will use a scipy-based root-finding algorithm and vectorization through np.vectorize which is much slower.