\newcommand{\E}{\mathbb E} \newcommand{\Pp}{\mathbb P} \newcommand{\R}{\mathbb R} \newcommand{\dd}{\,\mathrm d} \DeclareMathOperator{\Var}{Var} \newcommand{\eps}{\varepsilon} \newcommand{\ind}{\mathbf 1} \newcommand{\cE}{\mathcal E} \newcommand{\cX}{\mathcal X} \newcommand{\abs}[1]{\left|#1\right|} \DeclareMathOperator{\Col}{Col} \DeclareMathOperator{\Bin}{Bin} \DeclareMathOperator{\Pois}{Pois} \newcommand{\cF}{\mathcal F}