scipy.special.gdtr¶

scipy.special.gdtr(a, b, x) = <ufunc 'gdtr'>¶

Gamma distribution cumulative density 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:

Parameters:	a : array_like The rate parameter of the gamma distribution, sometimes denoted \(\beta\) (float). It is also the reciprocal of the scale parameter \(\theta\). b : array_like The shape parameter of the gamma distribution, sometimes denoted \(\alpha\) (float). x : array_like The quantile (upper limit of integration; float).
Returns:	F : ndarray The CDF of the gamma distribution with parameters a and b evaluated at x.

a : array_like

The rate parameter of the gamma distribution, sometimes denoted \(\beta\) (float). It is also the reciprocal of the scale parameter \(\theta\).

b : array_like

The shape parameter of the gamma distribution, sometimes denoted \(\alpha\) (float).

x : array_like

The quantile (upper limit of integration; float).

Returns:

F : ndarray

The CDF of the gamma distribution with parameters a and b evaluated at x.