3 problems

Let $p$ be the dimension, $n$ the sample size, and $d$ the tensor order. Consider estimating the order-$d$ moment or cumulant tensors of a sub-Gaussian random vector, with consiste…

Let $X_n$ be an $n\times n$ generalized random Toeplitz, circulant, or symmetric circulant matrix with symmetric standard sub-Gaussian entries, meaning mean-zero, variance-one sub-…

Let ${\mathcal Z}=\mathbb R$, let $Z$ be the observation, and let the null family be … Let $F_+$ denote the nonnegative measurable functions, and let ${\mathcal E}$ be the set of a…