skg.gauss_fit

skg.gauss_fit(x, y, sorted=True)[source]

Gaussian bell curve fit of the form a e^{-\frac{1}{2}\left(\frac{x - \mu}{\sigma}\right)^2}.

This implementation is based on an extentsion the approximate solution to integral equation (3), presented in Régressions et équations intégrales and extended in Extended Applications.

Parameters:
  • x (array-like) – The x-values of the data points. The fit will be performed on a raveled version of this array.
  • y (array-like) – The y-values of the data points corresponding to x. Must be the same size as x. The fit will be performed on a raveled version of this array.
  • sorted (bool) – Set to True if x is already monotonically increasing or decreasing. If False, x will be sorted into increasing order, and y will be sorted along with it.
Returns:

a, mu, sigma – A three-element array containing the estimated amplitude, mean and standard deviation, in that order.

Return type:

ndarray

References