%\setlength\topmargin{-0.25in} \setlength\oddsidemargin{-0.25in}
%\setlength\textheight{9.0in} \setlength\textwidth{7.0in}
%\setlength\columnsep{0.375in} \newlength\titlebox
%\setlength\titlebox{2.25in} \setlength\headheight{0pt}
%\setlength\headsep{0pt}

\setlength{\evensidemargin}{-0.25 in} \setlength{\oddsidemargin}{-0.25 in}
\setlength{\textwidth}{6.8 in} \setlength{\topmargin}{-0.75 in}
\setlength{\textheight}{9.3 in}

\renewcommand{\baselinestretch}{0.9}

\renewcommand{\labelenumi}{\arabic{enumi}}
\renewcommand{\labelenumii}{(\alph{enumii})}
\renewcommand{\labelenumiii}{(\roman{enumiii})}

\makeatletter
\let\orig@Itemize =\itemize
\let\orig@Enumerate =\enumerate
\let\orig@Description =\description % Zero the vertical spacing parameters
\def\MySpacing{\itemsep=1.0ex\topsep=0.0ex\partopsep=0.0ex\parskip=0.0ex\parsep=0.0ex}
\def\WideSpacing{\itemsep=2.0ex\topsep=0.5ex\partopsep=0.0ex\parskip=0.0ex\parsep=0.0ex}
% Redefine the environments in terms of the original values
\renewenvironment{itemize}{\orig@Itemize\MySpacing}{\endlist}
\newenvironment{Myenumerate}{\orig@Enumerate\MySpacing}{\endlist}
\newenvironment{enumerateWide}{\orig@Enumerate\WideSpacing}{\endlist}
\renewenvironment{description}{\orig@Description\MySpacing}{\endlist}

\newenvironment{qenumerate}{\parindent 0in \orig@Enumerate}{\endlist}

\def\qitemize{%
  \ifnum \@itemdepth >\thr@@\@toodeep\else
    \advance\@itemdepth\@ne
    \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
    \expandafter
    \list
      \csname\@itemitem\endcsname
%      {\def\makelabel##1{\hss\llap{##1}}}%
       {\def\makelabel##1{\llap{##1}}}%
  \fi}

\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{\dst}{\displaystyle}
\newcommand{\bigone}{{\rm 1\hspace{-3 pt}l}}

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


\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\X{\mathbb{X}}
\def\CalC{\mathscr{C}}

\def\P{\text{Pr}}

\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\Xvec{{\skew0\utilde{X}}}

\def\Xvecn{{\undertilde{X_n}}}
\def\Yvec{{\utilde{Y}}}
\def\Tvec{{\utilde{T}}}
\def\xvec{{\utilde{x}}}
\def\yvec{{\utilde{y}}}
\def\zvec{{\utilde{z}}}
\def\tvec{{\utilde{t}}}
\def\qvec{{\utilde{q}}}
\def\gvec{{\utilde{g}}}
\def\hvec{{\utilde{h}}}
\def\lvec{{\utilde{l}}}
\def\thvec{{\skew0\utilde{\theta}}}
\def\thveczero{{\skew0\utilde{\theta}_0}}
\def\thvecone{{\skew0\utilde{\theta}_1}}
\def\thvectwo{{\skew0\utilde{\theta}_2}}
\def\phivec{{\skew0\utilde{\phi}}}
\def\etavec{{\undertilde{\eta}}}
\def\betavec{{\skew0\utilde{\beta}}}
\def\omegavec{{\skew0\utilde{\omega}}}
\def\wvec{{\undertilde{w}}}
\def\Svec{{\undertilde{S}}}
\def\zerovec{{\mathbf{0}}}
\def\Psimat{{\bm{\Psi}}}
\def\avec{{\undertilde{a}}}

\def\Normal{\text{Normal}}

\def\Xveca{{\skew0\utilde{X}}_1}
\def\Xvecb{{\skew0\utilde{X}}_2}
\def\xveca{{\skew0\utilde{x}}_1}
\def\xvecb{{\skew0\utilde{x}}_2}
\def\mvec{{\skew0\utilde{m}}}
\def\nvec{{\skew0\utilde{n}}}
\def\cvec{{\skew0\utilde{c}}}
\def\fvec{{\skew0\utilde{f}}}
\def\hvec{{\skew0\utilde{h}}}
\def\Dvec{{\skew0\utilde{D}}}
\def\xivec{{\skew0\utilde{\xi}}}


\def\lvec{{\skew0\utilde{l}}}
\def\lvecn{{\skew0\utilde{l}_n}}
\def\dotlvec{{\skew0\utilde{\dot{l}}}}
\def\dotlvecn{{\skew0\utilde{\dot{l}}_n}}
\def\ddotlvecn{{\skew0\utilde{\ddot{l}}_n}}
\def\dddotlvecn{{\skew0\utilde{\dddot{l}}_n}}

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

\def\calA{\mathcal{A}}
\def\calB{\mathcal{B}}
\def\calC{\mathcal{C}}
\def\calD{\mathcal{D}}
\def\calE{\mathcal{E}}
\def\calF{\mathcal{F}}
\def\calG{\mathcal{G}}
\def\calH{\mathcal{H}}
\def\calS{\mathcal{S}}
\def\calT{\mathcal{T}}

\def\bmt{\tvec}
\def\bmf{\fvec}
\def\bmx{\xvec}
\def\bmh{\hvec}
\def\bmxzero{\xvec_0}

\def\bmphi{\bm{\phi}}
\def\bmphizero{\bm{\phi_0}}

\def\bmth{\thvec}
\def\bmphi{\bm{\phi}}

\def\bmx{\bm{x}}
\def\bmg{\bm{g}}

\def\alphaline{\overline{\alpha}}
\def\betaline{\overline{\beta}}

\def\betadag{{\beta^\dag}}
\def\betastar{{\beta^\star}}

\def\transpose{{\textsf{T}}}

\def\bmZn{\bm{Z}_n}
\def\bmZ{\bm{Z}}
\def\bmD{\bm{D}}

%\def\dddot#1{\stackrel{\ldots}{#1}}

\setcounter{section}{0}
\newcounter{mytheorem}
\setcounter{mytheorem}{1}

\renewcommand\thesection{\arabic{section}.}
\renewcommand\thesubsection{\arabic{section}.\arabic{subsection}}

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

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

\def\tildethn{\skew2\tilde{\thvec}_n}
\def\hatthn{\skew2\hat{\thvec}_n}
\def\tildephin{\skew2\tilde{\bmphi}_n}

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

\def\th{\theta}

\def\Exp{\text{E}}
\def\Var{\text{Var}}
\newcommand{\SET}[1]{\left\{#1\right\}}

\def\muX{\muvec^\text{\tiny{$X$}}}
\def\muY{\muvec^\text{\tiny{$Y$}}}
\def\muXgy{\muvec^\text{\tiny{$X|y$}}}
\def\muXgY{\muvec^\text{\tiny{$X|Y$}}}

\def\Loss{\mathcal{L}}



%\newcommand\argmin[1]{\underset{#1}{\textrm{argmin}}}
%\newcommand\argmax[1]{\underset{#1}{\textrm{argmax}}}


\newcommand\Xbarn{{\overline{X}_n}}
\newcommand\xbarn{{\overline{x}_n}}
\newcommand\Xbar{{\overline{X}}}
\newcommand\xbar{{\overline{x}}}

\def\thetahat{\widehat{\theta}}
\def\sigmahat{\widehat{\sigma}}
\def\tauhat{\widehat{\tau}}
\def\lambdahat{\widehat{\lambda}}

\newcommand\muvec{{\skew0\undertilde{\mu}}}
\newcommand\pivec{{\skew0\utilde{\pi}}}

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


\def\CiP{\stackrel{p}{\lra}}
\def\CiR{\stackrel{r}{\lra}}
\newcommand\CRM[1]{\stackrel{r = #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{-0.3ex}{.} \\ \hspace{-0.11in} \sim \\ \hspace{-0.105in} \raisebox{0.95ex}{.} \; \; }

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

\newcommand\Xbarvecn{{\overline{\skew0\utilde{X}}_{\!n}}}

\def\Xmean{\overline{X}}
\def\xmean{\overline{x}}
\def\Ymean{\overline{Y}}
\def\ymean{\overline{y}}


\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\eqindist{\stackrel{d}{=}}

\def\O{\text{O}}
\def\o{\text{o}}
\def\E{\text{E}}
\def\Var{\text{Var}}
\def\Cov{\text{Cov}}

\def\Cramer{Cram\'{e}r}

\def\FisherI{\mathcal{I}}
\def\FisherItilde{\widetilde{\mathcal{I}}}

\def\MSE{\text{MSE}}

\def\calR{\mathcal{R}}
\def\calW{\mathcal{W}}
\def\calX{\mathcal{X}}
\def\calH{\mathcal{H}}

\def\thetapr{\theta^\prime}

\def\boldl{\lvec}

\def\thnstar{\thvec_n^\star}

\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{\thvec}_n}
\def\thhat{\widehat{\thvec}_n}
\def\thhatzero{\widehat{\thvec}_{n0}}
\def\thhatone{\widehat{\thvec}_{n1}}

%\def\thhatzeroone{\widehat{\thvec}_{n01}}
\def\thhatzeroone{{\skew0\utilde{\widehat{\theta}}_{n01}}}
\def\thhatonezero{{\skew0\utilde{\widehat{\theta}}_{n10}}}
\def\thhatoneone{{\skew0\utilde{\widehat{\theta}}_{n11}}}

\def\thtilzero{\widetilde{\thvec}_{n0}}
\def\thtilone{\widetilde{\thvec}_{n1}}

\def\thtilzeroone{{\skew0\utilde{\widetilde{\theta}}_{n01}}}
\def\thtilonezero{{\skew0\utilde{\widetilde{\theta}}_{n10}}}
\def\thtiloneone{{\skew0\utilde{\widetilde{\theta}}_{n11}}}


\def\dotlike{\dot{\bm{l}}_n}
\def\ddotlike{\ddot{\bm{l}}_n}

\def\thhatNewt{\widehat{\thvec}^{\dagger}}
\def\thhatScor{\widehat{\thvec}^{\star}}
\def\thddag{{\thvec}_n^{\ddag}}

\def\Ind{\mathbb{I}}


\def\Fisher{\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\xtilde{\widetilde{x}}
\def\Xtilde{\widetilde{X}}

\def\bth{\thvec}

\def\bx{\mathbf{x}}
\def\bX{\mathbf{X}}
\def\xbar{\overline{x}}
\def\xmean{\overline{x}}
\def\Xmedian{\widetilde{X}}
\def\bY{\mathbf{Y}}

\def\bU{\mathbf{U}}
\def\bD{\mathbf{D}}


\def\Xhat{\widehat{X}}

\def\Zhat{\widehat{Z}}

\def\by{\mathbf{y}}
\def\bY{\mathbf{Y}}
\def\ybar{\overline{y}}
\def\ymean{\overline{y}}
\def\zmean{\overline{z}}
\def\Zmean{\overline{Z}}
\def\Ymean{\overline{Y}}

\def\Fhat{\widehat{F}}
\def\Fhatn{\widehat{F}_n}

\def\shat{\widehat{s}}
\def\sehat{\widehat{\text{se}}}
\def\se{\text{se}}




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

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

\newcommand\argmin[1]{\underset{#1}{\textrm{argmin}}}
\newcommand\argmax[1]{\underset{#1}{\textrm{argmax}}}
\def\omegavec{{\omega}}

\def\lra{\longrightarrow}
\def\Lra{\Longrightarrow}
\def\Xseq{X_1,\ldots,X_m}
\def\Yseq{Y_1,\ldots,Y_n}

\def\Zerovec{\bm{0}}

\def\thetavec{{\theta}}

\def\leqM{\stackrel{p}{<=}}


\def\Rpackold{\texttt{R}}

\def\Rpacknew{{\rotatebox{-0}{\vspace{0.5 in}\begin{figure}\includegraphics[scale=0.6]{Rlogo.ps}\end{figure}}}}

\def\Rpack{\textcolor[rgb]{0.23,0.49,0.77}{{\Large \textsf{R}}}}

\def\Ident{\mathbf{I}}

\def\thetahat{\widehat{\theta}}
\def\varthetahat{\widehat{\vartheta}}
\def\betahat{\widehat{\beta}}
\def\phihat{\widehat{\phi}}
\def\betatilde{\widetilde{\beta}}
\def\mutilde{\widetilde{\mu}}

\def\E{\mathbb{E}}
\def\Var{\mathbb{V}ar}
\def\Cov{\mathbb{C}ov}
\def\C{\mathbb{C}}
\def\Corr{\mathbb{C}orr}
\def\P{\mathbb{P}}
\def\R{\mathbb{R}}

\def\IID{\text{IID}}
\def\WN{\text{WN}}
\def\MA{\text{MA}}
\def\AR{\text{AR}}
\def\SMA{\text{SMA}}
\def\SAR{\text{SAR}}

\def\calJ{\mathcal{J}}
\def\calN{\mathcal{N}}
\def\calL{\mathcal{L}}
\def\calH{\mathcal{H}}
\def\calS{\mathcal{S}}

\def\Fisher{\mathcal{I}}
\def\Ind{\mathds{1}}

\def\Fhatn{\widehat{F}_n}

\def\lra{\longrightarrow}

\def\CiD{\stackrel{d}{\longrightarrow}}
\def\CiP{\stackrel{p}{\longrightarrow}}
\def\Cas{\stackrel{a.s.}{\longrightarrow}}

\def\transposeold{{\sf{T}}}
\def\transposex{\intercal}
\def\transpose{\top}

\def\Xvec{{\skew0\bm{X}}}
\def\Xveca{{\skew0\mathbf{X}}_1}
\def\Xvecb{{\skew0\mathbf{X}}_2}
\def\bXa{{\skew0\mathbf{X}}_1}
\def\bXb{{\skew0\mathbf{X}}_2}

\def\Yvec{{\skew0\bm{Y}}}
\def\xvec{{\skew0\bm{x}}}
\def\xveca{{\skew0\mathbf{x}}_1}
\def\xvecb{{\skew0\mathbf{x}}_2}
\def\bxa{{\skew0\mathbf{x}}_1}
\def\bxb{{\skew0\mathbf{x}}_2}

\def\mvec{{\skew0\mathbf{m}}}
\def\muvec{{\skew0\bm{\mu}}}
\def\bmu{{\bm{\mu}}}

\def\pitilde{\widetilde{\pi}}
\def\ptilde{\widetilde{p}}
\def\phat{\widehat{p}}
\def\Lhat{\widehat{L}}
\def\What{\widehat{W}}

\def\cvec{{\skew0\mathbf{c}}}

\def\Xbar{\overline{X}}
\def\xbar{\overline{x}}
\def\ybar{\overline{y}}
\def\yhat{\hat{y}}
\def\betahat{\widehat{\beta}}
\def\betavec{\utilde{\beta}}
\def\betahatvec{\skew3\widehat{\utilde{\beta}}}
\def\sigmahat{\widehat{\sigma}}
\def\ehat{\widehat{e}}
\def\zhat{\widehat{z}}
\def\nhat{\widehat{n}}

\def\xbarA{\overline{x}_A}
\def\xbarB{\overline{x}_B}

\def\calR{\mathcal{R}}
\def\calX{\mathcal{X}}
\def\calS{\mathcal{S}}
\def\bhatint{\widehat{\beta}_0}
\def\bhatsl{\widehat{\beta}_1}

\def\ahat{\widehat{a}}
\def\bhat{\widehat{b}}
\def\chat{\widehat{c}}
\def\ghat{\widehat{g}}

\def\lhat{\widehat{l}}
\def\uhat{\widehat{u}}
\def\Ihat{\widehat{I}}
\def\Itilde{\widetilde{I}}
\def\Icheck{\widecheck{I}}

\def\rhohat{\widehat{\rho}}
\def\pihat{\widehat{\pi}}


\def\btilde{\widetilde{b}}
\def\bjack{\widehat{b}_{\text{JACK}}}

\def\One{\mathbf{1}}
\def\Zero{\mathbf{0}}

\newcommand\xbarBi[1]{\overline{x^{\text{\tiny{(B)}}}_{#1}}}
\newcommand\xbarib[1]{\overline{x^{\text{\tiny{(B)}}}_{#1}}}


\def\Fstat{\frac{(SSE_R - SSE_C)/(k-g)}{SSE_C/(n-k-1)}}

\def\approxsim{\sim \! \! \! : \;}
\def\hsp{\vspace{0.1 in}}
\def\fsp{\vspace{0.2 in}}

%\def\dfrac#1#2{{\displaystyle {#1 \over #2}}}%
\def\dint{\mathop{\displaystyle \int}}%
\def\dsum{\mathop{\displaystyle \sum}}%

%\renewenvironment{proof}[1][\proofname]{\par
%  \pushQED{\qed}%
%  \normalfont \topsep6\p@\@plus6\p@\relax
% \trivlist
%  \item[\hskip\labelsep
%        \itshape
%    #1\@addpunct{.}]\ignorespaces
%}{%
%  \popQED\endtrivlist\@endpefalse
%}
%\providecommand{\proofname}{Proof}

\def\sectitle{\thesection.~\insertsectionhead}
\def\subsectitle{\thesection.\thesubsection~\insertsubsectionhead}

\def\xhat{\widehat x}
\def\Xhat{\widehat X}
\def\Rhat{\widehat R}

\def\what{\widehat w}

\def\muhat{\widehat \mu}
\def\gammahat{\widehat \gamma}
\def\Gammahat{\widehat \Gamma}
\def\phihat{\widehat \phi}

\def\Pred{\widehat P}
\def\Ptil{\widetilde P}

\def\Z{\mathbb{Z}}
\def\ARMA{\text{ARMA}}
\def\SARMA{\text{SARMA}}
\def\ARIMA{\text{ARIMA}}
\def\SARIMA{\text{SARIMA}}

\def\phivec{\utilde\phi}
\def\rhovec{\rho}

\def\tR{{\scriptscriptstyle \text{R}}}
\def\tF{{\scriptscriptstyle \text{F}}}
\def\tB{{\scriptscriptstyle \text{B}}}

\def\B{\text{B}}
\def\bA{\mathbf{A}}
\def\bV{\mathbf{V}}
\def\bD{\mathbf{D}}
\def\bz{\mathbf{z}}
\def\bZ{\mathbf{Z}}
\def\bv{\mathbf{v}}
\def\br{\mathbf{r}}
\def\be{\mathbf{e}}
\def\bb{\mathbf{b}}
\def\bc{\mathbf{c}}
\def\bd{\mathbf{d}}
\def\bu{\mathbf{u}}
\def\bw{\mathbf{w}}
\def\bF{\mathbf{F}}
\def\bG{\mathbf{G}}
\def\bW{\mathbf{W}}


\def\E{\mathbb{E}}
\def\Var{\text{Var}}
\def\Cov{\text{Cov}}
\def\Corr{\text{Corr}}

\newcommand{\independent}{\perp\mkern-9.5mu\perp}
\newcommand{\notindependent}{\slashed{\independent}}

\def\rz{\textcolor{red}{\textsf{z}}}
\def\ra{\textcolor{red}{\textsf{a}}}
\def\rZ{\textcolor{red}{\textsf{Z}}}
\def\rx{\textcolor{red}{\textsf{x}}}
\newcommand\rxa[1]{\textcolor{red}{\textsf{x}_{#1}}}
\newcommand\rza[1]{\textcolor{red}{\textsf{z}_{#1}}}

\def\rtmt{\textcolor{red}{1}}
\def\rnotmt{\textcolor{red}{0}}

\def\binst{\textcolor{blue}{1}}
\def\bnoinst{\textcolor{blue}{0}}

\def\bw{\textcolor{blue}{\textsf{w}}}

%\DeclareMathOperator*{\plim}{\textrm{plim}}

\def\true{{\scaleto{\text{TRUE}}{3pt}}}
\def\eff{{\scaleto{\text{eff}}{5pt}}}
\def\OR{{\scaleto{\text{OR}}{3pt}}}
\def\MATCH{{\scaleto{\text{MATCH}}{3pt}}}
\def\IPW{{\scaleto{\text{IPW}}{3pt}}}
\def\AIPW{{\scaleto{\text{AIPW}}{3pt}}}
\def\AOR{{\scaleto{\text{AOR}}{3pt}}}
\def\Gest{{\scaleto{\text{G}}{3pt}}}

\def\given{ \ | \ }

\def\Pa{\text{P}\scaleto{\text{A}}{5pt}}

\def\ps{\text{e}}

\def\calI{\mathcal{I}}
\def\calJ{\mathcal{J}}

\def\calO{{\scriptscriptstyle \mathcal{O}}}

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

\def\calB{\mathscr{B}}
\def\calE{{\scriptscriptstyle \mathcal{E}}}
