scipy.special.kolmogi#

scipy.special.kolmogi(p, out=None) = <ufunc 'kolmogi'>#

Inverse Survival Function of Kolmogorov distribution

It is the inverse function to kolmogorov. Returns y such that kolmogorov(y) == p.

Parameters:

pfloat array_like: Probability
outndarray, optional: Optional output array for the function results

Returns:

scalar or ndarray: The value(s) of kolmogi(p)

See also

kolmogorov: The Survival Function for the distribution
scipy.stats.kstwobign: Provides the functionality as a continuous distribution
smirnov, smirnovi: Functions for the one-sided distribution

Notes

kolmogorov is used by stats.kstest in the application of the Kolmogorov-Smirnov Goodness of Fit test. For historical reasons this function is exposed in scpy.special, but the recommended way to achieve the most accurate CDF/SF/PDF/PPF/ISF computations is to use the stats.kstwobign distribution.

Examples

>>> from scipy.special import kolmogi
>>> kolmogi([0, 0.1, 0.25, 0.5, 0.75, 0.9, 1.0])
array([        inf,  1.22384787,  1.01918472,  0.82757356,  0.67644769,
        0.57117327,  0.        ])