statsmodels.sandbox.distributions.extras.mvnormcdf¶
-
statsmodels.sandbox.distributions.extras.
mvnormcdf
(upper, mu, cov, lower=None, **kwds)[source]¶ multivariate normal cumulative distribution function
This is a wrapper for scipy.stats.kde.mvn.mvndst which calculates a rectangular integral over a multivariate normal distribution.
- Parameters
- lower, upperarray_like, 1d
lower and upper integration limits with length equal to the number of dimensions of the multivariate normal distribution. It can contain -np.inf or np.inf for open integration intervals
- mu
array_lik
, 1d list or array of means
- covarray_like, 2d
specifies covariance matrix
- optional keyword parameters to influence integration
- maxptsint, maximum number of function values allowed. This
parameter can be used to limit the time. A sensible strategy is to start with maxpts = 1000*N, and then increase maxpts if ERROR is too large.
abseps : float absolute error tolerance.
releps : float relative error tolerance.
- Returns
- cdfvalue
float
value of the integral
- cdfvalue
See also
mvstdnormcdf
location and scale standardized multivariate normal cdf
Notes
This function normalizes the location and scale of the multivariate normal distribution and then uses mvstdnormcdf to call the integration.