hyperfine.distributions.skewed_gaussian_pdf

hyperfine.distributions.skewed_gaussian_pdf(x: Sequence[float], mu: Annotated[float, slice(None, None, None)], sigma_m: Annotated[float, slice(0, None, None)], sigma_p: Annotated[float, slice(0, None, None)]) → Sequence[float][source]

Probability density function for a skewed Gaussian distribution.

This implementation uses a piecewise definition, wherein two scale parameters are used to define the width on either side of the distribution’s location parameter.

This convention here follows that of in musrfit).

Note - all parameters must have the same units (e.g., magnetic field)!

Parameters:

  • x – Position.

  • mu – Location parameter.

  • sigma_m – Negative scale parameter (i.e., for positions less than the location parameter).

  • sigma_p – Positive scale parameter (i.e., for positions greater than the location parameter).

Returns:

The probability density at position x.