statsmodels.distributions.copula.api.GaussianCopula.cdf#

GaussianCopula.cdf(u, args=(), rng=None)#

Evaluate the cdf of the copula.

Parameters:
uarray_like, 2-D

Points of random variables in unit hypercube at which method is evaluated.

argstuple, optional

Arguments for copula parameters. Not used by elliptical copulas, which take their parameters as attributes.

rngint, array_like of int, numpy.random.Generator, or numpy.random.RandomState, optional

Passed to the underlying SciPy distribution’s rng argument, if supported by the installed SciPy version, to control the quasi-Monte Carlo integration used to evaluate the cdf. If rng is None, a new Generator is created using fresh entropy from the operating system. If rng is an int or array of ints, a new Generator is created, seeded with rng. If rng is already a Generator or RandomState instance, that instance is used.

random_stateint, array_like of int, numpy.random.Generator, or numpy.random.RandomState, optional

Deprecated since version 0.15: random_state has been deprecated. In-line with SPEC-007, use rng for passing a random number generator or seed.

Returns:
cdfndarray

Copula cdf evaluated at points u.