\(
\newcommand{\comma}{\textrm{,}}
\newcommand{\period}{\textrm{.}}
\newcommand{\bra}[1]{\left( #1 \right)}
\newcommand{\sqa}[1]{\left[ #1 \right]}
\newcommand{\cur}[1]{\left\{ #1 \right\}}
\newcommand{\ang}[1]{\left< #1 \right>}
\newcommand{\abs}[1]{\left| #1 \right|}
\newcommand{\nor}[1]{\left\| #1 \right\|}
\newcommand{\prob}{\mathbb{P}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\cN}{\mathcal{N}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\cA}{\mathcal{A}}
\newcommand{\cB}{\mathcal{B}}
\newcommand{\cD}{\mathbb{D}}
\newcommand{\cF}{\mathcal{F}}
\newcommand{\cT}{\mathcal{T}}
\newcommand{\esp}[1]{\mathbb{E}\sqa{#1}}
\newcommand{\E}[1]{\mathbb{E}\sqa{#1}}
\newcommand{\Var}[1]{\operatorname{Var}\bra{#1}}
\newcommand{\Cov}[1]{\operatorname{Cov}\bra{#1}}
\newcommand{\SUR}{\operatorname{SUR}}
\newcommand{\CDF}{\operatorname{CDF}}
\newcommand{\MGF}{\operatorname{MGF}}
\newcommand{\map}{\operatorname{MAP}}
\newcommand{\mle}{\operatorname{MLE}}
\newcommand{\ols}{\operatorname{OLS}}
\)