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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=xabΓ(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 (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, gdtri

Notes

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

Wrapper for the Cephes [R364] routine gdtrc.

References

[R364](1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

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