dad (version 4.1.6)

mathellinger: Matrix of Hellinger distances between Gaussian densities

Description

Computes the matrix of the Hellinger distances between several multivariate (\(p > 1\)) or univariate (\(p = 1\)) Gaussian densities given samples and using hellinger.

Usage

mathellinger(x)

Value

Positive symmetric matrix whose order is equal to the number of densities, consisting of the pairwise Hellinger distances between the probability densities.

Arguments

x

object of class "folder" containing the data. Its elements have only numeric variables (observations of the probability densities). If there are non numeric variables, there is an error.

Author

Rachid Boumaza, Pierre Santagostini, Smail Yousfi, Gilles Hunault, Sabine Demotes-Mainard

See Also

hellinger.

mathellingerpar when the probability densities are Gaussian, given the parameters (means and variances).

Examples

    data(roses)
    
    # Multivariate:
    X <- as.folder(roses[,c("Sha","Den","Sym","rose")], groups = "rose")
    summary(X)
    mathellinger(X)
    
    # Univariate :
    X1 <- as.folder(roses[,c("Sha","rose")], groups = "rose")
    summary(X1)
    mathellinger(X1)