Diagonal dominance conjecture for squared components of a truncated normal vector
Let X∼Nv(0,Λ)X\sim\mathcal{N}_{v}(0,\Lambda)X∼Nv(0,Λ), where Λ=diag(λ)\Lambda=\operatorname{diag}(\lambda)Λ=diag(λ), and let … be the Euclidean ball of radius ρ\rhoρ. Consider the covariance matrix of the vector…