Some Remarks on Random Vectors and $O(n)$-Invariants
Numerical Analysis
2023-03-13 v2 Numerical Analysis
Probability
Representation Theory
Abstract
Computations involving invariant random vectors are directly related to the theory of invariants (cf. e.g \cite{Weing_1}). Some simple observations along these lines are presented in this paper. We note in particular that sum of elements of the standard basis of -invariants is equal to the expectation of a random Veronese tensor up to a known scalar multiplier.
Cite
@article{arxiv.2303.00247,
title = {Some Remarks on Random Vectors and $O(n)$-Invariants},
author = {Alexander Kushkuley},
journal= {arXiv preprint arXiv:2303.00247},
year = {2023}
}