An implementation of the methodology described in Petersen and Mueller (2016) <doi:10.1214/15AOS1363> for the functional data analysis of samples of density functions. Densities are first transformed to their corresponding log quantile densities, followed by ordinary Functional Principal Components Analysis (FPCA). Transformation modes of variation yield improved interpretation of the variability in the data as compared to FPCA on the densities themselves. The standard fraction of variance explained (FVE) criterion commonly used for functional data is adapted to the transformation setting, also allowing for an alternative quantification of variability for density data through the Wasserstein metric of optimal transport.
Package details 


Author  A. Petersen, P. Z. Hadjipantelis and H.G. Mueller 
Maintainer  Alexander Petersen <[email protected]> 
License  BSD_3_clause + file LICENSE 
Version  0.1.1 
URL  https://github.com/functionaldata/tDENS 
Package repository  View on CRAN 
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