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dad (version 4.1.6)

matddlppar: Matrix of distances between discrete probability densities given the probabilities on their common support

Description

Computes the matrix of the \(L^p\) distances between several multivariate or univariate discrete probability distributions on the same support (which can be a Cartesian product of \(q\) sets), given the probabilities of the states (which are \(q\)-tuples) of the support.

Usage

matddlppar(freq, p = 1)

Value

Positive symmetric matrix whose order is equal to the number of distributions, consisting of the pairwise \(L^p\) distances between these distributions.

Arguments

freq

list of arrays. Their dim attribute is a vector with length \(q\), its elements containing the numbers of levels of the \(sets\). Each array contains the probabilities of the discrete distribution on the same support.

p

integer. Parameter of the distance.

Author

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

References

Deza, M.M. and Deza E. (2013). Encyclopedia of distances. Springer.

See Also

ddlppar.

matddlp for discrete probability distributions which are estimated from samples.