statsmodels.nonparametric.kernel_density.KDEMultivariate.pdf¶

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

Evaluate the probability density function.

Parameters:

data_predict: array_like, optional

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

Returns:

pdf_est: array_like

Probability density function evaluated at data_predict.

Notes

The probability density is given by the generalized product kernel estimator:

$K_{h}(X_{i},X_{j}) = \prod_{s=1}^{q}h_{s}^{-1}k\left(\frac{X_{is}-X_{js}}{h_{s}}\right)$