• Corpus ID: 239009920

A new class of $\alpha$-transformations for the spatial analysis of Compositional Data

  title={A new class of \$\alpha\$-transformations for the spatial analysis of Compositional Data},
  author={Lucia Clarotto and Denis Allard and Alessandra Menafoglio},
Georeferenced compositional data are prominent in many scientific fields and in spatial statistics. This work addresses the problem of proposing models and methods to analyze and predict, through kriging, this type of data. To this purpose, a novel class of transformations, named the Isometric α-transformation (α-IT), is proposed, which encompasses the traditional Isometric Log-Ratio (ILR) transformation. It is shown that the ILR is the limit case of the α-IT as α tends to 0 and that α = 1… 


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