mathellinger function

Matrix of Hellinger distances between Gaussian densities

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

mathellinger(x)

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.

Returns

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

Author(s)

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)