statsmodels.nonparametric.kernel_density.KDEMultivariate.cdf¶

KDEMultivariate.cdf(data_predict=None)[source]¶

Evaluate the cumulative distribution function.

Parameters:¶

data_predictarray_like, optional

Points to evaluate at. If unspecified, the training data is used.

Returns:¶

cdf_estarray_like

The estimate of the cdf.

Notes

See https://en.wikipedia.org/wiki/Cumulative_distribution_function For more details on the estimation see Ref. [5] in module docstring.

The multivariate CDF for mixed data (continuous and ordered/unordered discrete) is estimated by:

\[F(x^{c},x^{d})=n^{-1}\sum_{i=1}^{n}\left[G(\frac{x^{c}-X_{i}}{h})\sum_{u\leq x^{d}}L(X_{i}^{d},x_{i}^{d}, \lambda)\right]\]

where G() is the product kernel CDF estimator for the continuous and L() for the discrete variables.

Used bandwidth is self.bw.