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:

p : array_like

Probability values.

b : array_like

b parameter values of gdtr(a, b, x). b is the “shape” parameter of the gamma distribution.

x : array_like

Nonnegative real values, from the domain of the gamma distribution.

out : ndarray, 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:

a : 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

gdtr

CDF of the gamma distribution.

gdtrib

Inverse with respect to b of gdtr(a, b, x).

gdtrix

Inverse with respect to x of gdtr(a, b, x).

Examples

First evaluate gdtr.

>>> p = gdtr(1.2, 3.4, 5.6)
>>> print(p)
0.94378087442

Verify the inverse.

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