Loading [MathJax]/jax/output/HTML-CSS/jax.js
SciPy

This is documentation for an old release of SciPy (version 0.18.1). Read this page in the documentation of the latest stable release (version 1.15.1).

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=x0abΓ(b)tb1eatdt,

where Γ is the gamma function.

Parameters:

a : array_like

The rate parameter of the gamma distribution, sometimes denoted β (float). It is also the reciprocal of the scale parameter θ.

b : array_like

The shape parameter of the gamma distribution, sometimes denoted α (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.

See also

gdtrc
1 - CDF of the gamma distribution.

Notes

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

Wrapper for the Cephes [R363] routine gdtr.

References

[R363](1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

Previous topic

scipy.special.fdtridfd

Next topic

scipy.special.gdtrc