# scipy.special.gdtrc¶

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

Gamma distribution survival function.

Integral from x to infinity of the gamma probability density function,

$F = \int_x^\infty \frac{a^b}{\Gamma(b)} t^{b-1} e^{-at}\,dt,$

where $$\Gamma$$ is the gamma function.

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 (lower limit of integration; float). F : ndarray The survival function of the gamma distribution with parameters a and b evaluated at x.

gdtr, gdtri

Notes

The evaluation is carried out using the relation to the incomplete gamma integral (regularized gamma function).

Wrapper for the Cephes [1] routine gdtrc.

References

 [1] (1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

#### Previous topic

scipy.special.gdtr

#### Next topic

scipy.special.gdtria