scipy.special.gdtr#

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

Gamma distribution cumulative distribution function.

Returns the integral from zero to x of the gamma probability density function,

\[F = \int_0^x \frac{a^b}{\Gamma(b)} t^{b-1} e^{-at}\,dt,\]

where \(\Gamma\) is the gamma function.

Parameters

aarray_like: The rate parameter of the gamma distribution, sometimes denoted \(\beta\) (float). It is also the reciprocal of the scale parameter \(\theta\).
barray_like: The shape parameter of the gamma distribution, sometimes denoted \(\alpha\) (float).
xarray_like: The quantile (upper limit of integration; float).
outndarray, optional: Optional output array for the function values

Returns

Fscalar or ndarray: The CDF of the gamma distribution with parameters a and b evaluated at x.