A note on gaussian distributions in R^n

Details A note on gaussian distributions in R^n A note on gaussian distributions in R^n

2011-08-08

arxiv.org/abs/1108.1647v3

Mathematics

Statistics Theory

Scientific paper

Given any finite set F of (n - 1)-dimensional subspaces of R^n we give
examples of nongaussian probability measures in R^n whose marginal distribution
in each subspace from F is gaussian. However, if F is an infinite family of
such (n - 1)-dimensional subspaces then such a nongaussian probability measure
in R^n does not exist.

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