\NeedsTeXFormat{LaTeX2e}[1995/12/01] \ProvidesClass{statsoc} \DeclareOption{draft }{\setlength\overfullrule{5pt}} \DeclareOption{proofs}{\setlength\overfullrule{5pt}} \DeclareOption{crc }{\setlength\overfullrule{0pt}} \DeclareOption{final }{\setlength\overfullrule{0pt}} \DeclareOption{leqno}{\input{leqno.clo}} \DeclareOption{fleqn}{\input{fleqn.clo}} \DeclareOption{mathptm}{% \def\JOURNAL@fonts{\RequirePackage{times,mathptm}}% \renewcommand{\ttdefault}{cmtt}} \renewcommand{\sfdefault}{phv} \DeclareOption{mathtime}{% \def\JOURNAL@fonts{\RequirePackage{times}\RequirePackage% {mathtime}}% \renewcommand{\sfdefault}{phv} \renewcommand{\ttdefault}{cmtt}} \DeclareOption{cmfonts}{% \renewcommand{\sfdefault}{phv} \let\JOURNAL@fonts\relax} \ExecuteOptions{cmfonts,final} \setlength\paperheight {58.5pc} \setlength\paperwidth {41pc} \@twosidetrue\@mparswitchtrue \ProcessOptions \JOURNAL@fonts \RequirePackage{graphics} \RequirePackage{latexsym} \DeclareMathAlphabet\mathbi \encodingdefault\rmdefault\bfdefault\itdefault \DeclareMathAlphabet\mathsc \encodingdefault{cmr}\mddefault\scdefault \renewcommand\normalsize{% \@setfontsize\normalsize\@xpt\@xiipt \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\p@ \abovedisplayshortskip \z@ \@plus3\p@ \belowdisplayshortskip 6\p@ \@plus3\p@ \@minus3\p@ \belowdisplayskip \abovedisplayskip \let\@listi\@listI} \normalsize \newcommand\small{% \@setfontsize\small\@ixpt{11}% \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@ \abovedisplayshortskip \z@ \@plus2\p@ \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@ \def\@listi{\leftmargin\leftmargini \topsep 4\p@ \@plus2\p@ \@minus2\p@ \parsep 2\p@ \@plus\p@ \@minus\p@ \itemsep \parsep}% \belowdisplayskip \abovedisplayskip } \newcommand\footnotesize{% \@setfontsize\footnotesize\@viiipt{9.5}% \abovedisplayskip 6\p@ \@plus2\p@ \@minus4\p@ \abovedisplayshortskip \z@ \@plus\p@ \belowdisplayshortskip 3\p@ \@plus\p@ \@minus2\p@ \def\@listi{\leftmargin\leftmargini \topsep 3\p@ \@plus\p@ \@minus\p@ \parsep 2\p@ \@plus\p@ \@minus\p@ \itemsep \parsep}% \belowdisplayskip \abovedisplayskip } \newcommand\scriptsize{\@setfontsize\scriptsize\@viipt\@viiipt} \newcommand\tiny{\@setfontsize\tiny\@vpt\@vipt} \newcommand\large{\@setfontsize\large\@xiipt{14}} \newcommand\Large{\@setfontsize\Large\@xivpt{18}} \newcommand\LARGE{\@setfontsize\LARGE\@xviipt{22}} \newcommand\huge{\@setfontsize\huge\@xxpt{25}} \newcommand\Huge{\@setfontsize\Huge\@xxvpt{30}} \setlength\lineskip{1\p@} \setlength\normallineskip{1\p@} \renewcommand\baselinestretch{} \setlength\parskip{0\p@ \@plus \p@} \setlength\parindent{15\p@} \setlength\smallskipamount{3\p@ \@plus 1\p@ \@minus 1\p@} \setlength\medskipamount{6\p@ \@plus 2\p@ \@minus 2\p@} \setlength\bigskipamount{12\p@ \@plus 4\p@ \@minus 4\p@} \@lowpenalty 51 \@medpenalty 151 \@highpenalty 301 \setlength\headheight{9\p@} \setlength\headsep {9\p@} \setlength\topskip {10\p@} \setlength\footskip{30\p@} \setlength\maxdepth{0.5\topskip} %%%%%%Updation \setlength\textwidth{33pc} %%\setlength\textwidth{40pc} %%%%%%% \@settopoint\textwidth %%%%%%Updation \setlength\textheight{48\baselineskip} %%\setlength\textheight{58\baselineskip} %%%%%% \addtolength\textheight{\topskip} \@settopoint\textheight \setlength\marginparsep{11\p@} \setlength\marginparpush{5\p@} %%%%%%Updation \setlength\oddsidemargin {4pc} %%\setlength\oddsidemargin {0pc} %%%%%% \@settopoint\oddsidemargin %%%%%%Updation \setlength\evensidemargin {3.5pc} %%\setlength\evensidemargin {0pc} %%%%%% \@settopoint\evensidemargin \setlength\marginparwidth {107\p@} \@settopoint\marginparwidth %%%%%%Updation \setlength\topmargin{3pc} %%\setlength\topmargin{0pc} %%%%%% \@settopoint\topmargin \setlength\footnotesep{6.65\p@} \setlength{\skip\footins}{9\p@ \@plus 4\p@ \@minus 2\p@} \setcounter{topnumber}{2} \renewcommand\topfraction{0.7} \setcounter{bottomnumber}{1} \renewcommand\bottomfraction{0.3} \setcounter{totalnumber}{3} \renewcommand\textfraction{0.2} \renewcommand\floatpagefraction{0.5} \setlength\floatsep {12\p@ \@plus 2\p@ \@minus 2\p@} \setlength\textfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@} \setlength\intextsep {12\p@ \@plus 2\p@ \@minus 2\p@} \setlength\@fptop{0\p@ \@plus 1fil} \setlength\@fpsep{8\p@ \@plus 2fil} \setlength\@fpbot{0\p@ \@plus 1fil} \def\artid#1{\gdef\@artid{#1}} \def\volume#1{\setcounter{@volumenumber}{#1}} \newcounter{@volumenumber} \setcounter{@volumenumber}{1} \def\issue#1{\setcounter{@issuenumber}{#1}} \newcounter{@issuenumber} \setcounter{@issuenumber}{1} \def\four@digits#1{\ifnum#1<1000 0\fi\ifnum#1<100 0\fi\ifnum#1<10 0\fi\number#1} \def\startpage{\@ifundefined{r@firstpage}{????}% {\expandafter\four@digits{\expandafter\@secondoftwo\r@firstpage}}} \def\pages{\@ifundefined{r@lastpage}{??}% {\addtocounter{@pages}{ \expandafter\@secondoftwo\r@lastpage}% \addtocounter{@pages}{-\expandafter\@secondoftwo\r@firstpage}% \two@digits{\value{@pages}}}} \newcounter{@pages} \setcounter{@pages}{1} \def\journalname#1{\gdef\@journalname{#1}} \def\journalnumber#1{\gdef\@journalnumber{#1}} \def\copyrightname#1{\gdef\@copyrightname{#1}} \def\price#1{\gdef\@price{#1}} \artid{??????} \volume{1} \issue{1} \journalname{Appl.\ Statist.} \journalnumber{0035-9254} \copyrightname{Royal Statistical Society} \price{\$141.00} \def\label@firstpage{% \immediate\write\@auxout{\string \newlabel{firstpage}{{}{\thepage}}}% } \def\label@lastpage{% \advance\c@page\m@ne \immediate\write\@auxout{\string \newlabel{lastpage}{{}{\thepage}}}% \advance\c@page\@ne} \def\ps@title{% \let\@oddfoot\@empty\let\@evenfoot\@empty \let\@evenhead\@empty\let\@oddhead\@empty} \def\ps@statsoc{% \let\@oddfoot\@empty\let\@evenfoot\@empty \def\@evenhead{{\sffamily\small\thepage\qquad\slshape\@shortauthor\hfil}}% \def\@oddhead{\hfil{\sffamily\small{\slshape\@shorttitle}\qquad\thepage}}% \let\@mkboth\markboth \def\sectionmark##1{% \markboth {\MakeUppercase{% \ifnum \c@secnumdepth >\z@ \thesection\quad \fi ##1}}{}}% \def\subsectionmark##1{% \markright {% \ifnum \c@secnumdepth >\@ne \thesubsection\quad \fi ##1}}} \def\ps@empty{% \let\@oddfoot\@empty\let\@evenfoot\@empty \let\@evenhead\@empty\let\@oddhead\@empty } \def\affiliation#1{#1} \def\@email{} %%\def\email#1{\gdef\@email{{\sffamily E-mail: #1}}} \def\email#1{\g@addto@macro\@correspondence{{{\sffamily E-mail: #1}}}}% \let\@coaddress\@empty \newcommand{\address}[1]{\g@addto@macro\@correspondence{\item[]{\small\itshape #1}\vskip 4\p@}}\let\@accepted\@empty \def\coaddress#1{\g@addto@macro\@correspondence{\thanks{\textit{Address for correspondence:} #1\\\@email}}} \def\accepted#1{\gdef\@accepted{#1}} \let\@received\@empty \def\received#1{\gdef\@received{#1}} \let\@revised\@empty \def\revised#1{\gdef\@revised{#1}} \def\title{\@dblarg\statsoc@title} \def\statsoc@title[#1]#2{% \def\@title{#2}% \def\@shorttitle{#1}} \def\author{\@dblarg\statsoc@author} \def\statsoc@author[#1]#2{% \g@addto@macro\@correspondence{\item[]{\normalsize #2}}% \def\@shortauthor{#1}} \let\@correspondence\@empty \newcommand\maketitle{% \let\footnotesize\small \let\footnoterule\relax {\let \footnote \thanks \global\@topnum\z@ \null {\list{}{\leftmargin=2pc\parsep\z@\itemsep 3\p@} \item[]\relax {\sffamily\bfseries\Large \@title \par}% \vskip 2pc% {\sffamily {\@correspondence}}% {\sffamily\footnotesize \ifx\@received\@empty \ifx\@revised\@empty \ifx\@accepted\@empty \else \item[] [Final revision \@accepted]% \fi \else \item[] [Revised \@revised% \ifx\@accepted\@empty ] \else . Final revision \@accepted]% \fi \fi \else \item[] [Received \@received% \ifx\@revised\@empty \ifx\@accepted\@empty ] \else . Final revision \@accepted]% \fi \else . Revised \@revised% \ifx\@accepted\@empty ] \else . Final revision \@accepted]% \fi \fi \fi}% \endlist} \thispagestyle{title}\label@firstpage\@thanks} \global\let\thanks\relax \global\let\maketitle\relax \global\let\@thanks\@empty \global\let\@author\@empty \global\let\@date\@empty \global\let\@title\@empty \global\let\@coaddress\@empty \global\let\title\relax \global\let\author\relax \global\let\date\relax \global\let\and\relax } \AtBeginDocument{\maketitle} \AtEndDocument{\par% \clearpage\label@lastpage} \setcounter{secnumdepth}{3} \newcounter {section} \newcounter {subsection}[section] \newcounter {subsubsection}[subsection] \newcounter {paragraph}[subsubsection] \renewcommand\thesection {\@arabic\c@section} \renewcommand\thesubsection {\thesection.\@arabic\c@subsection} \renewcommand\thesubsubsection{\thesubsection .\@arabic\c@subsubsection} \renewcommand\theparagraph {\thesubsubsection.\@arabic\c@paragraph} \newcommand\section{\@startsection {section}{1}{\z@}% {-1.5pc \@plus -1ex \@minus -0.2ex}% { 0.675pc \@plus0.2ex}% {\normalfont\normalsize\sffamily\bfseries}} \newcommand\subsection{\@startsection{subsection}{2}{\z@}% {-1.75pc\@plus -1ex \@minus -0.2ex}% { 0.025\p@\@plus 0.2ex}% {\normalfont\normalsize\sffamily\slshape}} \newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% {-2pc\@plus -1ex \@minus -0.2ex}% { 0.025\p@\@plus 0.2ex}% {\normalfont\normalsize\slshape}} \def\@seccntformat#1{\csname the#1\endcsname.\quad} \newcommand\paragraph{\@startsection{paragraph}{4}{\z@}% {3.25ex \@plus1ex \@minus.2ex}% {-1em}% {\normalfont\normalsize\itshape}} \setlength\leftmargini {2.5em} \leftmargin \leftmargini \setlength\leftmarginii {2.2em} \setlength\leftmarginiii {1.87em} \setlength\leftmarginiv {1.7em} \setlength\leftmarginv {1em} \setlength\leftmarginvi {1em} \setlength \labelsep {0.5em} \setlength \labelwidth{\leftmargini} \addtolength\labelwidth{-\labelsep} \setlength\partopsep{2\p@ \@plus 1\p@ \@minus 1\p@} \@beginparpenalty -\@lowpenalty \@endparpenalty -\@lowpenalty \@itempenalty -\@lowpenalty \def\@listi{\leftmargin\leftmargini \parsep 4\p@ \@plus2\p@ \@minus\p@ \topsep 8\p@ \@plus2\p@ \@minus4\p@ \itemsep4\p@ \@plus2\p@ \@minus\p@} \let\@listI\@listi \@listi \def\@listii {\leftmargin\leftmarginii \labelwidth\leftmarginii \advance\labelwidth-\labelsep \topsep 4\p@ \@plus2\p@ \@minus\p@ \parsep 2\p@ \@plus\p@ \@minus\p@ \itemsep \parsep} \def\@listiii{\leftmargin\leftmarginiii \labelwidth\leftmarginiii \advance\labelwidth-\labelsep \topsep 2\p@ \@plus\p@\@minus\p@ \parsep \z@ \partopsep \p@ \@plus\z@ \@minus\p@ \itemsep \topsep} \def\@listiv {\leftmargin\leftmarginiv \labelwidth\leftmarginiv \advance\labelwidth-\labelsep} \def\@listv {\leftmargin\leftmarginv \labelwidth\leftmarginv \advance\labelwidth-\labelsep} \def\@listvi {\leftmargin\leftmarginvi \labelwidth\leftmarginvi \advance\labelwidth-\labelsep} \renewcommand\theenumi{\@alph\c@enumi} \renewcommand\theenumii{\@roman\c@enumii} \renewcommand\theenumiii{\@Alph\c@enumiii} \renewcommand\theenumiv{\@Alph\c@enumiv} \newcommand\labelenumi{(\theenumi)} \newcommand\labelenumii{(\theenumii)} \newcommand\labelenumiii{\theenumiii.} \newcommand\labelenumiv{\theenumiv.} \renewcommand\p@enumii{\theenumi} \renewcommand\p@enumiii{\theenumi(\theenumii)} \renewcommand\p@enumiv{\p@enumiii\theenumiii} \def\enumerate{% \ifnum \@enumdepth >\thr@@\@toodeep\else \advance\@enumdepth\@ne \edef\@enumctr{enum\romannumeral\the\@enumdepth}% \expandafter \list \csname label\@enumctr\endcsname {\topsep6pt\itemsep\z@\parsep\z@ \topsep 10\p@ \@plus2\p@ \@minus4\p@ \usecounter\@enumctr\def\makelabel##1{\hss\llap{##1}}}% \fi} \newcommand\labelitemi{$\m@th\bullet$} \newcommand\labelitemii{\normalfont\bfseries --} \newcommand\labelitemiii{$\m@th\ast$} \newcommand\labelitemiv{$\m@th\cdot$} \newenvironment{description} {\list{}{\labelwidth\z@ \itemindent-\leftmargin \let\makelabel\descriptionlabel}} {\endlist} \newcommand*\descriptionlabel[1]{\hspace\labelsep \normalfont\bfseries #1} \newenvironment{abstract}{\list{}{\leftmargin=2pc\parsep\z@\itemsep 3\p@}% \item[]\relax \sffamily\footnotesize{\bfseries\abstractname}.}% {\ifx\@keywords\@empty \else \medskip \par\noindent\textsl{Keywords}: \@keywords \fi \endlist\normalsize} \let\@keywords\@empty \def\keyword#1{% \ifx\@keywords\@empty \def\@keywords{#1} \else \g@addto@macro\@keywords{; #1} \fi} \def\keywords#1{% \ifx\@keywords\@empty \def\@keywords{#1} \else \g@addto@macro\@keywords{#1} \fi} \newenvironment{verse} {\let\\\@centercr \list{}{\itemsep \z@ \itemindent -1.5em% \listparindent\itemindent \rightmargin \leftmargin \advance\leftmargin 1.5em}% \item\relax} {\endlist} \newenvironment{quotation} {\list{}{\listparindent 1.5em% \itemindent \listparindent \rightmargin \leftmargin \parsep \z@ \@plus\p@}% \item\relax} {\endlist} \newenvironment{quote} {\list{}{\rightmargin\leftmargin}% \item\relax} {\endlist} \def\newdefinition#1{% \@ifnextchar[{\@odef{#1}}{\@ndef{#1}}} \def\@ndef#1#2{% \@ifnextchar[{\@xndef{#1}{#2}}{\@yndef{#1}{#2}}} \def\@xndef#1#2[#3]{% \expandafter\@ifdefinable\csname #1\endcsname {\@definecounter{#1}\@newctr{#1}[#3]% \expandafter\xdef\csname the#1\endcsname{% \expandafter\noexpand\csname the#3\endcsname \@defcountersep \@defcounter{#1}}% \global\@namedef{#1}{\@prf{#1}{#2}}% \global\@namedef{end#1}{\@enddefinition}}} \def\@yndef#1#2{% \expandafter\@ifdefinable\csname #1\endcsname {\@definecounter{#1}% \expandafter\xdef\csname the#1\endcsname{\@defcounter{#1}}% \global\@namedef{#1}{\@def{#1}{#2}}% \global\@namedef{end#1}{\@enddefinition}}} \def\@odef#1[#2]#3{% \@ifundefined{c@#2}{\@nocounterr{#2}}% {\expandafter\@ifdefinable\csname #1\endcsname {\global\@namedef{the#1}{\@nameuse{the#2}}% \global\@namedef{#1}{\@def{#2}{#3}}% \global\@namedef{end#1}{\@enddefinition}}}} \def\@def#1#2{% \refstepcounter{#1}% \@ifnextchar[{\@ydef{#1}{#2}}{\@xdef{#1}{#2}}} \def\@xdef#1#2{% \@begindefinition{#2}{\csname the#1\endcsname}\ignorespaces} \def\@ydef#1#2[#3]{% \@opargbegindefinition{#2}{\csname the#1\endcsname}{#3}\ignorespaces} \def\@defcounter#1{\noexpand\arabic{#1}} \def\@defcountersep{.} \def\@begindefinition#1#2{\trivlist \item[\hskip \labelsep{\indent\scshape #1\ #2.}]\rmfamily} \def\@opargbegindefinition#1#2#3{\trivlist \item[\hskip \labelsep{\indent\scshape #1\ #2\ (#3).}]\rmfamily} \def\@enddefinition{\endtrivlist} \def\@begintheorem#1#2{\trivlist \item[\hskip \labelsep{\indent\scshape #1\ #2.}]\itshape} \def\@opargbegintheorem#1#2#3{\trivlist \item[\hskip \labelsep{\indent\scshape #1\ #2\ (#3).}]\itshape} \def\newproof#1{% \@ifnextchar[{\@oprf{#1}}{\@nprf{#1}}} \def\@nprf#1#2{% \@ifnextchar[{\@xnprf{#1}{#2}}{\@ynprf{#1}{#2}}} \def\@xnprf#1#2[#3]{% \expandafter\@ifdefinable\csname #1\endcsname {\@definecounter{#1}\@newctr{#1}[#3]% \expandafter\xdef\csname the#1\endcsname{% \expandafter\noexpand\csname the#3\endcsname \@prfcountersep \@prfcounter{#1}}% \global\@namedef{#1}{\@prf{#1}{#2}}% \global\@namedef{end#1}{\@endproof}}} \def\@ynprf#1#2{% \expandafter\@ifdefinable\csname #1\endcsname {\@definecounter{#1}% \expandafter\xdef\csname the#1\endcsname{\@prfcounter{#1}}% \global\@namedef{#1}{\@prf{#1}{#2}}% \global\@namedef{end#1}{\@endproof}}} \def\@oprf#1[#2]#3{% \@ifundefined{c@#2}{\@nocounterr{#2}}% {\expandafter\@ifdefinable\csname #1\endcsname {\global\@namedef{the#1}{\@nameuse{the#2}}% \global\@namedef{#1}{\@prf{#2}{#3}}% \global\@namedef{end#1}{\@endproof}}}} \def\@prf#1#2{% \refstepcounter{#1}% \@ifnextchar[{\@yprf{#1}{#2}}{\@xprf{#1}{#2}}} \def\@xprf#1#2{% \@beginproof{#2}{\csname the#1\endcsname}\ignorespaces} \def\@yprf#1#2[#3]{% \@opargbeginproof{#2}{\csname the#1\endcsname}{#3}\ignorespaces} \def\@prfcounter#1{\noexpand\arabic{#1}} \def\@prfcountersep{.} \def\@beginproof#1#2{\trivlist \item[\hskip \labelsep{\indent\scshape #1.}]\rmfamily} \def\@opargbeginproof#1#2#3{\trivlist \item[\hskip \labelsep{\indent\scshape #1\ (#3).}]\rmfamily} \def\@endproof{\endtrivlist} \newcommand*{\qed}{\hbox{}\hfill$\Box$} \newproof{proof}{Proof} \newcommand\appendix{\par \setcounter{section}{0}% \setcounter{subsection}{0}% \renewcommand\thesection{\@Alph\c@section}} \setlength\arraycolsep{5\p@} \setlength\tabcolsep{6\p@} \setlength\arrayrulewidth{0.4\p@} \setlength\doublerulesep{0.4\p@} \setlength\tabbingsep{\labelsep} \skip\@mpfootins = \skip\footins \setlength\fboxsep{3\p@} \setlength\fboxrule{0.4\p@} \renewcommand\theequation{\@arabic\c@equation} \newcounter{figure} \renewcommand\thefigure{\@arabic\c@figure} \def\fps@figure{tbp} \def\ftype@figure{1} \def\ext@figure{lof} \def\fnum@figure{\figurename~\thefigure} \newenvironment{figure} {\@float{figure}} {\end@float} \newcounter{table} \renewcommand\thetable{\@arabic\c@table} \def\fps@table{tbp} \def\ext@table{lot} \def\ftype@table{2} \def\fnum@table{\tablename~\thetable} {\catcode`\#11\relax \gdef\hash{#} \catcode`\#6\relax} \def\statsocrulewidth#1#2{\@bsphack \protected@write\@auxout{}% {\string\newdimen\string\statsocwidth@#1\string\global\string\statsocwidth@#1=#2 \string\gdef\string\statsoc@gobble\hash\string1{}}% \@esphack} \gdef\statsoc@gobble#1{#1} \newbox\statsoc@width \newenvironment{table} {\@float{table}\centering% \footnotesize \addtocounter{table}{1}% \statsoc@gobble{% \expandafter\newdimen\csname statsocwidth@\alph{table}\endcsname \expandafter\global\csname statsocwidth@\alph{table}\endcsname0.33333\textwidth}% \expandafter\@tempdima\csname statsocwidth@\alph{table}\endcsname \addtocounter{table}{-1} \setlength\fboxsep{\z@} \setlength\fboxrule{0.8\p@} \setbox\statsoc@width\hbox\bgroup% \begin{tabular}{@{}c@{}}} {\end{tabular}\egroup \setlength\fboxsep{3\p@} \setlength\fboxrule{0.4\p@} \statsocrulewidth{\alph{table}}{\the\wd\statsoc@width} \hskip0pt\hfill\box\statsoc@width\hfill\hskip0pt\end@float} \newlength\abovecaptionskip \newlength\belowcaptionskip \setlength\abovecaptionskip{10\p@} \setlength\belowcaptionskip{0\p@} \xdef\statsoc@figure{figure} \long\def\@makecaption#1#2{% \ifx\statsoc@figure\@captype% \vskip\abovecaptionskip \sbox\@tempboxa{\sffamily\footnotesize \textbf{#1.} #2\strut}% \ifdim \wd\@tempboxa >\hsize \sffamily\footnotesize \textbf{#1.} #2\strut\par \else \global \@minipagefalse \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}% \fi \vskip\belowcaptionskip \else \statsoc@gobble{% \expandafter\newdimen\csname statsocwidth@\alph{table}\endcsname \expandafter\global\csname statsocwidth@\alph{table}\endcsname0.33333\textwidth}% \expandafter\@tempdima\csname statsocwidth@\alph{table}\endcsname \parbox{\@tempdima}{\sffamily\footnotesize\textbf{#1.} #2\strut}\aftergroup\\ \fi} \DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} \DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} \DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} \DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} \DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} \DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} \DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} \DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal} \DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal} \newcommand\@pnumwidth{1.55em} \newcommand\@tocrmarg{2.55em} \newcommand\@dotsep{4.5} \setcounter{tocdepth}{3} \newenvironment{thebibliography}[1] {\section*{\refname \@mkboth{\MakeUppercase\refname}{\MakeUppercase\refname}}% \list{\@biblabel{\@arabic\c@enumiv}}% {\settowidth\labelwidth{\@biblabel{#1}}% \leftmargin\labelwidth \advance\leftmargin\labelsep \@openbib@code \usecounter{enumiv}% \let\p@enumiv\@empty \renewcommand\theenumiv{\@arabic\c@enumiv}}% \sloppy\clubpenalty4000\widowpenalty4000% \sfcode`\.\@m} {\def\@noitemerr {\@latex@warning{Empty `thebibliography' environment}}% \endlist} \newcommand\newblock{\hskip0.11em\@plus0.33em\@minus0.07em} \let\@openbib@code\@empty \IfFileExists{natbib.sty}% {\RequirePackage[authoryear]{natbib}}% {\newcommand\rename{References}} \renewcommand\footnoterule{% \kern-3\p@ \hrule\@width.4\columnwidth \kern2.6\p@} \def\@fnsymbol#1{\ensuremath{\ifcase#1\or \dagger\or \ddagger\or \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger \or \ddagger\ddagger\or \mathsection\mathsection \or \mathparagraph\mathparagraph \else\@ctrerr\fi}} \def\fnsymbol#1{\expandafter\@fnsymbol\csname #1\endcsname} \def\thefootnote{\@fnsymbol\c@footnote} \newlength\fnsymbolwidth \setlength{\fnsymbolwidth}{1.3em} \newcommand\@makefntext[1]{% \parindent 1em% \noindent \hb@xt@\fnsymbolwidth{\hss\@makefnmark}#1} \renewcommand\@makefnmark{\hbox{{\normalfont\@thefnmark}}} \renewcommand\refname{References} \newcommand\figurename{Fig.} \newcommand\tablename{Table} \newcommand\appendixname{Appendix} \newcommand\abstractname{Summary} \newcommand\today{} \edef\today{\ifcase\month\or January\or February\or March\or April\or May\or June\or July\or August\or September\or October\or November\or December\fi \space\number\day, \number\year} \pagestyle{statsoc} \pagenumbering{arabic} %%%% \def\keywords#1{\noindent\begin{quote}\sffamily\small\textsl{Keywords}: #1\end{quote}} %% \renewcommand\normalsize{% \@setfontsize\normalsize{11}{13} \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\p@ \abovedisplayshortskip \z@ \@plus3\p@ \belowdisplayshortskip 6\p@ \@plus3\p@ \@minus3\p@ \belowdisplayskip \abovedisplayskip \let\@listi\@listI} \renewcommand\small{% \@setfontsize\small{10}{12}% \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@ \abovedisplayshortskip \z@ \@plus2\p@ \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@ \def\@listi{\leftmargin\leftmargini \topsep 4\p@ \@plus2\p@ \@minus2\p@ \parsep 2\p@ \@plus\p@ \@minus\p@ \itemsep \parsep}% \belowdisplayskip \abovedisplayskip } \renewcommand\footnotesize{% \@setfontsize\footnotesize{9}{11}% \abovedisplayskip 6\p@ \@plus2\p@ \@minus4\p@ \abovedisplayshortskip \z@ \@plus\p@ \belowdisplayshortskip 3\p@ \@plus\p@ \@minus2\p@ \def\@listi{\leftmargin\leftmargini \topsep 3\p@ \@plus\p@ \@minus\p@ \parsep 2\p@ \@plus\p@ \@minus\p@ \itemsep \parsep}% \belowdisplayskip \abovedisplayskip } %%%%