scipy.special.gdtria#

scipy.special.gdtria(p, b, x, out=None) = <ufunc 'gdtria'>#

Inverse of gdtr vs a.

Returns the inverse with respect to the parameter a of p = gdtr(a, b, x), the cumulative distribution function of the gamma distribution.

Parameters:

parray_like: Probability values.
barray_like: b parameter values of gdtr(a, b, x). b is the “shape” parameter of the gamma distribution.
xarray_like: Nonnegative real values, from the domain of the gamma distribution.
outndarray, optional: If a fourth argument is given, it must be a numpy.ndarray whose size matches the broadcast result of a, b and x. out is then the array returned by the function.

Returns:

ascalar or ndarray: Values of the a parameter such that p = gdtr(a, b, x)`. ``1/a is the “scale” parameter of the gamma distribution.

See also

Notes

gdtria is implemented in terms of the incomplete gamma inverse as gdtria(p, b, x) = gammaincinv(b, p)/x.

Examples

First evaluate gdtr.

>>> from scipy.special import gdtr, gdtria
>>> p = gdtr(1.2, 3.4, 5.6)
>>> print(p)
0.94378087442

Verify the inverse.

>>> gdtria(p, 3.4, 5.6)
1.2