dad-package: Three-Way Data Analysis Through Densities

Description Details Author(s) References


The three-way data consists of a set of variables measured on several groups of individuals. To each group is associated an estimated probability density function. The package provides functional methods (principal component analysis, multidimensional scaling, cluster analysis, discriminant analysis...) for such probability densities.


Package: dad
Type: Package
Version: 4.0.0
Date: 2021-08-04
License: GPL-2

To cite dad, use citation("dad").

The main functions applying to the probability densities are:

The above functions are completed by:

We also introduce classes of objects and tools in order to handle collections of data frames:


Rachid Boumaza, Pierre Santagostini, Smail Yousfi, Sabine Demotes-Mainard with the contributions from Gilles Hunault, Julie Bourbeillon and Besnik Pumo


Boumaza, R. (1998). Analyse en composantes principales de distributions gaussiennes multidimensionnelles. Revue de Statistique Appliqu?e, XLVI (2), 5-20.

Boumaza, R., Yousfi, S., Demotes-Mainard, S. (2015). Interpreting the principal component analysis of multivariate density functions. Communications in Statistics - Theory and Methods, 44 (16), 3321-3339.

Boumaza, R. (2004). Discriminant analysis with independently repeated multivariate measurements: an L^2 approach. Computational Statistics & Data Analysis, 47, 823-843.

Cokelaer, T. and Pradal, C. (2010). MTG user guide

Delicado, P. (2011). Dimensionality reduction when data are density functions. Computational Statistics & Data Analysis, 55, 401-420.

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

Rudrauf, J.M., Boumaza, R. (2001). Contribution ? l'?tude de l'architecture m?di?vale: les caract?ristiques des pierres ? bossage des ch?teaux forts alsaciens. Centre de Recherches Arch?ologiques M?di?vales de Saverne, 5, 5-38.

Rachev, S.T., Klebanov, L.B., Stoyanov, S.V. and Fabozzi, F.J. (2013). The methods of distances in the theory of probability and statistics. Springer.

Yousfi, S., Boumaza, R., Aissani, D., Adjabi, S. (2014). Optimal bandwith matrices in functional principal component analysis of density functions. Journal of Statistical Computation and Simulation, 85 (11), 2315-2330.

dad documentation built on Aug. 9, 2021, 1:06 a.m.