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 – Probability density function evaluated at data_predict.
- Return type:
array_like
Notes
The probability density is given by the generalized product kernel estimator:
\[K_{h}(X_{i},X_{j}) = \prod_{s=1}^{q}h_{s}^{-1}k\left(\frac{X_{is}-X_{js}}{h_{s}}\right)\]