% Upper-case A B C D E F G H I J K L M N O P Q R S T U V W X Y Z % Lower-case a b c d e f g h i j k l m n o p q r s t u v w x y z % Digits 0 1 2 3 4 5 6 7 8 9 % Exclamation ! Double quote " Hash (number) # % Dollar $ Percent % Ampersand & % Acute accent ' Left paren ( Right paren ) % Asterisk * Plus + Comma , % Minus - Point . Solidus / % Colon : Semicolon ; Less than < % Equals = Greater than > Question mark ? % At @ Left bracket [ Backslash \ % Right bracket ] Circumflex ^ Underscore _ % Grave accent ` Left brace { Vertical bar | % Right brace } Tilde ~ % ---------------------------------------------------------------------| % --------------------------- 72 characters ---------------------------| % ---------------------------------------------------------------------| % ---------------------------------------------------------------------| % Special Symbols/Macros % ---------------------------------------------------------------------| % % (c) Copyright 2007 by Theodore P. Pavlic % % Additional symbols, phrases, etc. \newcommand{\ie}{i.e.{}} \newcommand{\eg}{e.g.{}} \newcommand{\exante}{ex ante} \newcommand{\expost}{ex post} \newcommand{\apriori}{a priori} \newcommand{\adinfinitum}{ad infinitum} \newcommand{\aka}{a.k.a.{}} % Our math conventions %\newcommand{\seq}[1]{\ensuremath{\mathcal{#1}}} \newcommand{\setset}[1]{\ensuremath{\mathscr{#1}}} \newcommand{\set}[1]{\ensuremath{\mathcal{#1}}} \newcommand{\rel}[1]{\ensuremath{\mathrel{#1}}} \newcommand{\bin}[1]{\ensuremath{\mathbin{#1}}} %\renewcommand{\v}[1]{\ensuremath{#1}} %\renewcommand{\v}[1]{{\ensuremath{\underline{#1}}}} \renewcommand{\v}[1]{{\ensuremath{#1}}} \newcommand{\symdiff}{\ensuremath{\mathbin{\Delta}}} \newcommand{\setdiff}{\ensuremath{-}} %\newcommand{\setdiff}{\ensuremath{\setminus}} \newcommand{\comp}{\ensuremath{\circ}} \newcommand{\mat}[1]{\ensuremath{#1}} \newcommand{\I}{\ensuremath{\mathbb{I}}} %\newcommand{\mat}[1]{\ensuremath{\mathbf{#1}}} \newcommand{\T}{\ensuremath{\top}} \newcommand{\interior}{\ensuremath{\operatorname{int}}} \newcommand{\biject}{\ensuremath{\mathrel{\leftrightarrow}}} \newcommand{\Pow}{\ensuremath{\mathscr{P}}} \newcommand{\Borel}{\ensuremath{\mathfrak{B}}} \renewcommand{\th}{\ensuremath{^\text{th}}} \newcommand{\nhd}{\ensuremath{\setset{N}}} \newcommand{\R}{\ensuremath{\mathbb{R}}} \newcommand{\extR}{\ensuremath{\mathbb{\overline{R}}}} \newcommand{\N}{\ensuremath{\mathbb{N}}} \newcommand{\W}{\ensuremath{\mathbb{W}}} \newcommand{\Z}{\ensuremath{\mathbb{Z}}} \newcommand{\Q}{\ensuremath{\mathbb{Q}}} \newcommand{\bang}{!} \newcommand{\pipe}{|} \newcommand{\ppipe}{\|} \newcommand{\total}{\ensuremath{\operatorname{d}}} \newcommand{\E}{\ensuremath{\operatorname{E}}} \newcommand{\iid}{i.i.d.} % Should be able to be a label \newcommand{\var}{\ensuremath{\operatorname{var}}} \newcommand{\cov}{\ensuremath{\operatorname{cov}}} \newcommand{\std}{\ensuremath{\operatorname{std}}} \newcommand{\LPV}{\ensuremath{\operatorname{LPV}}} \newcommand{\LPM}{\ensuremath{\operatorname{LPM}}} \newcommand{\range}{\ensuremath{\operatorname{range}}} \newcommand{\sgn}{\ensuremath{\operatorname{sgn}}} \newcommand{\aslim}{\ensuremath{\operatorname*{aslim}}} \newcommand{\limean}{\ensuremath{\operatorname*{l.i.m.}}} \newcommand{\mslim}{\ensuremath{\operatorname*{mslim}}} \newcommand{\plim}{\ensuremath{\operatorname*{plim}}} \newcommand{\dlim}{\ensuremath{\operatorname*{dlim}}} \newcommand{\xto}[1]{\ensuremath{\mathrel{\xrightarrow{#1}}}} % The classical OFT model %\newcommand{\oft}[1]{\ensuremath{\tilde{#1}}} \newcommand{\oft}[1]{\ensuremath{\widetilde{#1}}} % A special box to catch my eye to highlight spots where work still % needs to be done \newcommand{\todo}[1]{\vspace{0.25in}% \noindent% \fbox{\parbox{\columnwidth}% {\noindent\textbf{\fbox{TODO:} #1}}}% \vspace{0.25in}}