preamble_latex.tex

% shape of the text in the page
%\usepackage[top=1.5in, bottom=1.5in, right=1.5in, left=1.5in]{geometry}
\usepackage{amsmath}
\usepackage{dsfont}
\usepackage{amsfonts}
\newcommand{\uns}[1]{\mathds{1}[ #1 ]}
\usepackage{subfig}
\newcommand{\esp}[1]{\mathbb{E}[ #1 ]}
\newcommand{\hatesp}[1]{\hat{\mathbb{E}}[ #1 ]}
\newcommand{\espE}{\mathbb{E}}
\newcommand\Ind{\protect\mathpalette{\protect\independenT}{\perp}}
\def\independenT#1#2{\mathrel{\setbox0\hbox{$#1#2$}\copy0\kern-\wd0\mkern4mu\box0}}
\newcommand{\var}[1]{\mathbb{V}[ #1 ]}
\newcommand{\hatvar}[1]{\hat{\mathbb{V}}[ #1 ]}
\newcommand{\cov}[1]{\mathbb{C}[ #1 ]}
\newcommand{\plim}[1]{\text{plim}_{ #1 \rightarrow \infty}}
\newcommand{\plims}{\text{plim}}
\newcommand{\distr}{\stackrel{d}{\rightarrow}}
\newcommand{\partder}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\partdersq}[2]{\frac{\partial^2 #1}{\partial #2^2}}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\asym}{Asym}
\DeclareUnicodeCharacter{200B}{{\hskip 0pt}}