2010/12/29 by José A. Díaz‐García, Jose A. Diaz-Garcia, Diaz-Garcia, Jose A. +3 · 2 citations
Mathematics · #Morphological variations and asymmetry #Statistical and numerical algorithms #math.ST #msc:15A09 #msc:15A52 #msc:62E15 #stat.TH
paper · pdf · doi:10.48550/arxiv.1012.5856
13 pages
arxiv created 2010/12/29 · arxiv updated 2010/12/30
This work sets the statistical affine shape theory in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncentral and non-isotropic elliptical distribution; then the separated published works about real and complex shape distributions can be obtained as corollaries by a suitable selection of the field parameter and univariate integrals involving the generator elliptical function. As a particular case, the complex normal affine density is derived and applied in brain magnetic resonance scans of normal and schizophrenic patients.