deerlab.dd_gengauss¶

dd_gengauss = <deerlab.model.Model object>¶

Generalized Gaussian distribution model

Parameters:

Returns:

Notes

Parameter List

Name	Lower	Upper	Type	Frozen	Unit	Description
`mean`	1	20	nonlin	No	nm	Mean
`std`	0.05	2.5	nonlin	No	nm	Standard deviation
`beta`	0.25	15	nonlin	No		beta parameter

Model

$P(r) = \frac{\beta}{2\sigma\Gamma(1/\beta)}\exp\left(-\left(\frac{|r-\left<r\right>|}{\sigma}\right)^\beta \right)$

where $\left<r\right>$ is the mean distance, $\sigma$ is the standard deviation, and $\beta$ determines the shape of the distribution.

Examples

Example of the model evaluated at the start values of the parameters: