Module « scipy.special »

Fonction gdtrc - module scipy.special

Signature de la fonction gdtrc

Description

gdtrc.__doc__

gdtrc(x1, x2, x3, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

gdtrc(a, b, x)

Gamma distribution survival function.

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

.. math::

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

where :math:`\Gamma` is the gamma function.

Parameters
----------
a : array_like
    The rate parameter of the gamma distribution, sometimes denoted
    :math:`\beta` (float). It is also the reciprocal of the scale
    parameter :math:`\theta`.
b : array_like
    The shape parameter of the gamma distribution, sometimes denoted
    :math:`\alpha` (float).
x : array_like
    The quantile (lower limit of integration; float).

Returns
-------
F : ndarray
    The survival function of the gamma distribution with parameters `a`
    and `b` evaluated at `x`.

See Also
--------
gdtr, gdtrix

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] Cephes Mathematical Functions Library,
       http://www.netlib.org/cephes/