# Inner product of probability densities

### Description

Functions computing the *L^2* inner product of two multivariate or univariate probability densities.

### Details

The functions use parametrical or nonparametrical estimation methods:

Gaussian densities, given the parameters:

multivariate:

`l2d.gp`

univariate:

`l2d.gp.u`

Parametrically estimated Gaussian densities, given samples:

multivariate:

`l2d.gs`

univariate:

`l2d.gs.u`

Estimated densities using the Gaussian kernel method, with the normal reference rule bandwidth:

multivariate:

`l2d.kga`

univariate:

`l2d.kga.u`

Estimated densities using the Gaussian kernel method, given the smoothing banwidths:

multivariate:

`l2d.kgw`

univariate:

`l2d.kgw.u`

### Author(s)

Rachid Boumaza, Pierre Santagostini, Smail Yousfi, Sabine Demotes-Mainard.

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