R. Sanchez et al., SYMMETRY AND TRANSLATIONS IN MULTIMATERIAL LINE STATISTICS, Journal of quantitative spectroscopy & radiative transfer, 51(6), 1994, pp. 801-812
Inhomogeneous multimaterial line statistics are shown to be locally sy
mmetric. These statistics generate, however, non-symmetrical chord len
gth distributions. Homogeneous statistics, characterized by invariance
under translations, are shown to have symmetrical chord distributions
but they may have non symmetrical conditional translation probabiliti
es.