% \usepackage[total={6.4in,8.6in}]{geometry}

% \newtheorem{lemma}{Lemma}
% \newtheorem{theorem}{Theorem}
% \newtheorem{proof}{Proof}
% \newtheorem{corollary}{Corollary}
% \newtheorem{remark}{Remark}
%\newtheorem{example}{Example}
% \newtheorem{corollary}{Corollary}
%\@addtoreset{equation}{section}
%\renewcommand{\theequation}{\thesection.\arabic{equation}}
%\renewcommand{\thefootnote}{\fnsymbol{footnote}}

\newcommand{\blind}{0}
\newcommand{\fb}{{\bf b}}
\newcommand{\fs}{{\bf s}}
\newcommand{\fR}{{\bf R}}
% \newcommand{\Var}{{\mbox{Var}}}
% \newcommand{\Cov}{{\mbox{cov}}}
\newcommand{\Corr}{{\mbox{corr}}}
\newcommand{\diag}{{\mbox{diag}}}
\newcommand{\prob}{{\mbox{Pr}}}
\newtheorem{coro}{Corollary}[section]
\newtheorem{prop}{Proposition}
%\newtheorem*{note}{Notation}
% \newtheorem{lemma}{Lemma}[section]
\newtheorem{defi}{Definition}[section]
% \newtheorem{assumption}{Assumption}
%\newtheorem{theorem}[theorem]{Theorem}


%\newtheorem{algorithm}{Algorithm}[section]
%\newtheorem{remark}[theorem]{Remark}
%\newtheorem{cor}[theorem]{Corollary}
%\newtheorem{model}{Model}
%\newtheorem{cond}{Condition}
%\newcommand\specialref{A}
%\newtheorem{altcon}{Condition \specialref}
\def\per{\Delta}
\def\wper{\widehat{\text{per}}}
\newcommand{\indep}{\rotatebox[origin=c]{90}{$\models$}}



\let\code=\texttt
\let\proglang=\textsf
% \newcommand{\E}{{\rm I\!E}}
% \newcommand{\R}{{\rm I\!R}}
\newcommand{\Id}{{\rm I\!I}}
\newcommand{\II}{{\rm I\!I}}
\def\EE{\mathbb{E}}
\newcommand{\Abld}{{\mbox{\boldmath $A$}}}
\newcommand{\xbld}{{\mbox{\boldmath $x$}}}
\newcommand{\ubld}{{\mbox{\boldmath $u$}}}
\newcommand{\zbld}{{\mbox{\boldmath $z$}}}
\newcommand{\Zbld}{{\mbox{\boldmath $Z$}}}

\newcommand{\Bbld}{{\mbox{\boldmath $B$}}}
\newcommand{\Cbld}{{\mbox{\boldmath $C$}}}
\newcommand{\Dbld}{{\mbox{\boldmath $D$}}}
\newcommand{\Fbld}{{\mbox{\boldmath $F$}}}
\newcommand{\scref}{{\rm{\scriptstyle ref}}}
\newcommand{\tsb}[1]{\textnormal{#1}}
\newcommand{\TV}{\tsb{\textrm{TV}}}
% \newcommand{\KL}{\tsb{\textrm{KL}}}
\newcommand{\ol}{\overline}
\newcommand{\IE}{{\rm I}\!{\rm E}}
\newcommand{\IP}{{\rm I}\!{\rm P}}
\newcommand\barb{\overset{\circ}{\beta}}
\newcommand\xih{\left(\frac{X_i-x}{h}\right)}
\newcommand\xh{\left(\frac{x^\prime-x}{h}\right)}
\newcommand\barO{\bar{B}}
\newcommand\barQ{\bar{Q}}
\newcommand\lpl{LP(l) }
\newcommand\kx{K\left(\frac{s^\prime-x}{h}\right)}
\newcommand\kxi{K\left(\frac{X_i-x}{h}\right)}
\newcommand\hth{\hat{\mathcal{L}}}
\newcommand\sigmav{\vec{\sigma}}
\newcommand\lbeta{\lfloor \beta \rfloor} %{\underline{\beta}}
\newcommand\independent{\protect\mathpalette{\protect\independenT}{\perp}}
\newcommand{\Var}{\mathrm{Var}}
\def\independenT#1#2{\mathrel{\rlap{$#1#2$}\mkern2mu{#1#2}}}



\def\px{P_X}
\def\eps{\epsilon}
\def\begar{$$\begin{array}{lll}}
\def\endar{\end{array}$$}
\def\begarlab{\begin{equation} \begin{array}{lll} \label}
\def\endarlab{\end{array} \end{equation}}
\def\argmax{\text{argmax}}
\def\argmin{\text{argmin}}
\def\supp{\text{supp}}
\def\cvgn{\mathop{\longrightarrow}_{n\to+\infty}}
\def\ds1{{\mathrm{1 \hspace{-2.6pt} I}}}
\def\dsB{\mathbb {B}}
\def\dsC{\mathbb {C}}
\def\dsE{\mathbb {E}}
\def\dsN{\mathbb {N}}
\def\dsP{\mathbb {P}}
\def\dsQ{\mathbb {Q}}
\def\dsR{\mathbb {R}}
\def\dsS{\mathbb {S}}
\def\dsV{\mathbb {V}}
\def\dsZ{\mathbb {Z}}
\def\calA{{\cal A}}
\def\calB{{\cal B}}
\def\calBX{{{\cal B}_\calX}}
\def\calBY{{{\cal B}_\calY}}
\def\calBR{{\cal B}}
\def\calBZ{{{\cal B}_\calZ}}
\def\calC{{\cal C}}
\def\tcalC{{\tilde{\cal C}}}
\def\calCm{{{\cal C}_{max}}}
\def\calD{{\cal D}}
\def\calE{{\cal E}}
\def\calF{{\cal F}}
\def\calFXY{{\cal F}}%(\dsR^d,\calY)}
\def\calG{{\cal G}}
\def\calH{{\cal H}}
\def\calI{{\cal I}}
\def\calK{{\cal K}}
\def\calL{{\cal L}}
\def\calM{{\cal M}}
\def\calN{{\cal N}}
\def\calP{{\cal P}}
\def\calQ{{\cal Q}}
\def\calR{{\cal R}}
\def\tcalR{{\tilde{\cal R}}}
\def\calS{{\cal S}}
\def\calT{{\cal T}}
\def\calU{{\cal U}}
\def\calV{{\cal V}}
\def\calW{{\cal W}}
\def\calX{{\cal X}}
\def\calY{{\cal Y}}
\def\calZ{{\cal Z}}

\def\floor#1{\lfloor #1 \rfloor}

\usepackage{xr}
\externaldocument{suppVE3}
\def\red#1{{\color{black}#1}}
\def\blue#1{{\color{black}#1}}

\def\bfblue#1{{\bf \color{black}#1}}

\def\AIC{\textsc{aic}}
\def\T{{ \mathrm{\scriptscriptstyle T} }}
\def\v{{\varepsilon}}
\def\old{\scriptsize{\tsb{old}}}
\def\new{\scriptsize{\tsb{new}}}

%\newcounter{favoritecondition}
%\newcommand\independent{\protect\mathpalette{\protect\independenT}{\perp}}
\def\independenT#1#2{\mathrel{\rlap{$#1#2$}\mkern2mu{#1#2}}}

% DON'T change margins - should be 1 inch all around.
%\addtolength{\oddsidemargin}{-.5in}%
%\addtolength{\evensidemargin}{-.5in}%
%\addtolength{\textwidth}{1in}%
%\addtolength{\textheight}{-.3in}%
%\addtolength{\topmargin}{-.8in}%
\newcommand{\QZL}[1]{{\color{red}{#1}}}
\usepackage{hyperref}
\usepackage{url}
\usepackage{enumitem}



%\setlength{\topmargin}{-0.35in}
%\setlength{\oddsidemargin}{0.2in}

%\pdfminorversion=4
% NOTE: To produce blinded version, replace "0" with "1" below.
%\newtheorem{lemma}{Lemma}
