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\renewcommand{\labelenumi}{\arabic{enumi}.}
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\makeatletter
\let\orig@Itemize =\itemize
\let\orig@Enumerate =\enumerate
\let\orig@Description =\description % Zero the vertical spacing parameters
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    \expandafter
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%      {\def\makelabel##1{\hss\llap{##1}}}%
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    \xdef\@curr@file{\expandafter\string\csname #1\endcsname}%
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}
\def\quote@name#1{"\quote@@name#1\@gobble""}
\def\quote@@name#1"{#1\quote@@name}
\def\unquote@name#1{\quote@@name#1\@gobble"}
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\def\hsp{\vspace{0.1 in}}
\def\fsp{\vspace{0.2 in}}

\makeatother


\renewcommand\rmdefault{ppl}

\newcommand\textsclarge[1]{\fontshape{sc}\fontsize{14}{15} \selectfont{#1}}
\newcommand\textscnormal[1]{\fontshape{sc}\fontsize{12}{15} \selectfont{#1}}

%\newcommand{\mathsfsmall}{\fontshape{sf}\fontsize{12}{15} \selectfont{#1}}
%\def\transpose{{\mathsfsmall{T}}}
\DeclareOldFontCommand{\sf}{\small\it\sffamily}{\mathsf}
\def\transpose{\top}

\def\Xmean{\overline{X}}
\def\xmean{\overline{x}}

%\newcommand\Xvecsub[1]{{\skew0\undertilde{X}}_{\! #1}}
%\newcommand\Zvecsub[1]{{\skew0\undertilde{Z}}_{\! #1}}
%\newcommand\Zvec{{\skew0\undertilde{Z}}}

%\newcommand\Xbarvecn{{\overline{\skew0\undertilde{X}}_{\!n}}}


\DeclareSymbolFont{AMSb}{U}{msb}{m}{n}
\DeclareMathSymbol{\N}{\mathbin}{AMSb}{"4E}
\DeclareMathSymbol{\Z}{\mathbin}{AMSb}{"5A}
\DeclareMathSymbol{\R}{\mathbin}{AMSb}{"52}
\DeclareMathSymbol{\Q}{\mathbin}{AMSb}{"51}
\DeclareMathSymbol{\I}{\mathbin}{AMSb}{"49}
\DeclareMathSymbol{\C}{\mathbin}{AMSb}{"43}

\def\argmax{\arg \max}
\def\argmin{\arg \min}
\def\One{\mathbbm{1}}
\def\One{\mathbb{1}}
\def\Zero{\mathbf{0}}

\def\Student{\text{Student}}
\def\FisherF{\text{Fisher}}


\def\betahat{\widehat{\beta}}
\def\X{\mathbb{X}}
\def\Y{\mathbb{Y}}
\def\CalC{\mathscr{C}}
\def\CalH{\mathcal{H}}
\def\CalY{\mathcal{Y}}
\def\calY{\mathcal{Y}}
\def\calX{\mathcal{X}}
\def\calP{\mathcal{P}}
\def\calR{\mathcal{R}}


\def\calA{\mathscr{A}}
\def\calAN{\mathcal{A N}}

\def\calB{\mathcal{B}}
\def\calE{\mathscr{E}}
\def\calF{\mathcal{F}}

\def\calN{\mathcal{N}}


\def\Pr{\text{Pr}}
\def\P{\text{P}}

\def\Expect{\mathbbmss{{E}}}
\def\E{\mathbb{E}}
\def\Var{\text{Var}}

\def\KL{\mathbbmss{{K}}}
\def\Hell{\mathbbmss{{H}}}

\def\Cov{\text{Cov}}
\def\Corr{\text{Corr}}

\def\Ind{\mathbb{{I}}}
\def\Ident{\mathbf{{I}}}

\def\Fbar{\overline{F}}

%\def\dsum#1#2{\displaystyle{\sum_{#1}^{#2}}~}
%\def\dint#1#2{\displaystyle{\int_{#1}^{#2}}}
\def\Prob#1{\mbox{P}\left (~#1~\right )}
\def\Exp#1#2{\mbox{E}_{#1} [~#2~]}
\def\bigchoose#1#2{\displaystyle{#1 \choose #2}}

\newcommand{\undertilde}[1]{\underset{\widetilde{}}{#1}}

\newcommand\Normal{\mathcal{N}}

\def\by{\mathbf{y}}
\def\bx{\mathbf{x}}
\def\bY{\mathbf{Y}}
\def\bX{\mathbf{X}}
\def\bH{\mathbf{H}}
\def\bL{\mathbf{L}}
\def\bV{\mathbf{V}}
\def\bM{\mathbf{M}}
\def\bm{\mathbf{m}}
\def\bS{\mathbf{S}}
\def\bt{\mathbf{t}}
\def\ba{\mathbf{a}}
\def\bg{\mathbf{g}}

\def\bA{\mathbf{A}}

\def\bz{\mathbf{z}}
\def\bZ{\mathbf{Z}}
\def\muvec{\mathbf{\mu}}

\def\Xvecn{{\mathbf{X_n}}}
\def\xvec{{\mathbf{x}}}
\def\xunder{{\utilde{x}}}
\newcommand\Xvec{\mathbf{X}}
\newcommand\Yvec{\mathbf{Y}}
\def\yvec{{\bm{y}}}
\def\tvec{{\undertilde{t}}}
\def\gvec{{\utilde{g}}}
\def\thvec{{\mathbf{\theta}}}
\def\phivec{{\mathbf{\phi}}}
\def\etavec{{\utilde{\eta}}}
\def\wvec{{\undertilde{w}}}
\def\Svec{\mathbf{S}}
\def\Tvec{\mathbf{T}}
\def\zerovec{{\mathbf{0}}}
\def\onevec{{\mathbf{1}}}
\def\Psimat{{\bm{\Psi}}}
\def\avec{{\mathbf{a}}}

\def\Xveca{{\mathbf{X}}_1}
\def\Xvecb{{\mathbf{X}}_2}
\def\xveca{{\mathbf{x}}_1}
\def\xvecb{{\mathbf{x}}_2}
\def\mvec{{\mathbf{m}}}
\def\cvec{{\mathbf{c}}}


\def\dotb{\dot{b}}
\def\ddotb{\ddot{b}}
\def\dotg{\dot{g}}
\def\ddotg{\ddot{g}}
\def\dotf{\dot{f}}
\def\ddotf{\ddot{f}}

\newcommand\Xbarn{{\overline{X}_n}}


\newcommand\pivec{{\mathbf{\pi}}}

\def\lra{\longrightarrow}
\def\Lra{\Longrightarrow}
\def\Llra{\Longleftrightarrow}


\def\CiP{\stackrel{p}{\lra}}
\def\CiR{\stackrel{r}{\lra}}
\newcommand\CRM[1]{\stackrel{r = #1}{\lra}}
\newcommand\CiM[1]{\stackrel{#1}{\lra}}
\newcommand\Cqm{\stackrel{q.m.}{\lra}}
\def\Cas{\stackrel{a.s.}{\lra}}
\def\CiL{\stackrel{\mathfrak{L}}{\lra}}
\def\eqdef{\stackrel{def}{=}}
\def\CiD{\stackrel{d}{\lra}}
\def\Cae{\stackrel{a.e.}{\lra}}
\def\Cwp{\stackrel{w.p. 1}{\lra}}

\def\nlra{\nrightarrow}

\def\nCas{\stackrel{a.s.}{\nlra}}
\def\nCiP{\stackrel{p}{\nlra}}


\def\approxsim{\; \; \raisebox{-0.25ex}{.} \\ \hspace{-0.12in} \sim \\ \hspace{-0.1175in} \raisebox{0.95ex}{.} \; \; }

\newcommand*{\approxdist}{\mathrel{\vcenter{\offinterlineskip
\vskip-.25ex\hbox{\hskip.55ex$\cdot$}\vskip-.25ex\hbox{$\sim$}
\vskip-.5ex\hbox{\hskip.55ex$\cdot$}}}}



\def\nlranew{{\; \; \raisebox{-0.3ex}{.} \\ \hspace{-0.11in} \sim \\ \hspace{-0.105in} \raisebox{0.95ex}{.} \; \;
}}

\def\eqdist{\stackrel{d}{=}}


\newcommand\Xvecsub[1]{{\mathbf{X}}_{\! #1}}
\newcommand\Zvecsub[1]{{\mathbf{Z}}_{\! #1}}
\newcommand\Zvec{\mathbf{Z}}
\newcommand\Uvec{\mathbf{U}}

\newcommand\Xbarvecn{{\overline{\mathbf{X}}_{\!n}}}

\def\Xmean{\overline{X}}
\def\xmean{\overline{x}}


\def\O{\text{O}}
\def\o{\text{o}}

\def\expit{\text{expit}}
\def\logit{\text{logit}}

\def\EF{Exponential Family }

\def\tildethn{\skew2\widetilde{\thvec}_n}
\def\hatthn{\skew2\hat{\thvec}_n}
\def\tildephin{\skew2\widetilde{\bmphi}_n}
\def\Fisher{\mathcal{I}}
\def\FisherI{\mathcal{I}}
\def\FisherItilde{\widetilde{\mathcal{I}}}
\def\FisherIhat{\widehat{I}_n}
\def\FisherIhatzzo{\widehat{I}_{n00.1}}
\def\FisherIhatzz{\widehat{I}_{n00}}
\def\FisherIhatzo{\widehat{I}_{n01}}
\def\FisherIhatoz{\widehat{I}_{n10}}
\def\FisherIhatoo{\widehat{I}_{n11}}

\def\tildethetan{{\widetilde{\theta}_n}}
\def\Xseq{X_1,\ldots,X_n}
\def\xseq{x_1,\ldots,x_n}
\def\Yseq{Y_1,\ldots,Y_n}
\def\yseq{y_1,\ldots,y_n}
\def\Zseq{Z_1,\ldots,Z_n}
\def\zseq{z_1,\ldots,z_n}
\def\lvec{{\mathbf{l}}}
\def\lvecn{{\mathbf{l}_n}}
\def\dotlvec{{\mathbf{\dot{l}}}}
\def\dotlvecn{{{\dot{l}}_n}}
\def\ddotlvecn{{{\ddot{l}}_n}}
\def\dddotlvecn{{{\dddot{l}}_n}}
\def\thvec{{\mathbf{\theta}}}
\def\thveczero{{\mathbf{\theta}_0}}
\def\thvecone{{\mathbf{\theta}_1}}
\def\thvectwo{{\mathbf{\theta}_2}}
\def\phivec{{\mathbf{\phi}}}
\def\betavec{{\mathbf{\beta}}}
\def\omegavec{{\mathbf{\omega}}}
\def\wvec{{\undertilde{w}}}

\def\Psimat{{\bm{\Psi}}}
\def\tildethn{\skew2\widetilde{\thvec}_n}
\def\hatthn{\skew2\hat{\thvec}_n}
\def\tildephin{\skew2\widetilde{\bmphi}_n}

\def\thnstar{\bm{\theta}_n^\star}

\def\thtilde{\widetilde{\theta}_n}
\def\thhat{\widehat{\theta}_n}
\def\thhatzero{\widehat{\theta}_{n0}}
\def\thhatone{\widehat{\theta}_{n1}}
%\def\dsum#1#2{\displaystyle{\sum_{#1}^{#2}}~}
%\def\dint#1#2{\displaystyle{\int_{#1}^{#2}}}
\def\thetahat{\widehat{\theta}}
\def\sigmahat{\widehat{\sigma}}
\def\tauhat{\widehat{\tau}}
\def\lambdahat{\widehat{\lambda}}


\def\xbar{\overline{x}}

\def\d{\;\text{d}}

\def\coursetitle{\textsclarge{Math 556: Mathematical Statistics I}}

\def\unitvec{{\mathbf{e}}}
