%sw20asap {Article: Amer. Stat. Assoc. Proc.}{12pt}{article}
%Copyright (C) 1994-95 TCI Software Research
\typeout{TCI Document Style `sw20asap' <12 July 1994>.}
\typeout{NOTICE:  This macro file is NOT proprietary and may be 
freely copied and distributed.}
\input thmsupp.tex %TCI theorem option support

% Based on deproc.sty, by Barbara Beeton
     
%\oddsidemargin 0pc \evensidemargin 0pc
%\topmargin 0pc
\addtolength{\oddsidemargin}{-39pt}
\evensidemargin\oddsidemargin
\headheight 0pt \headsep 0pt
%\footheight 0pt \footskip 0pt
%\footheight 1pc \footskip 2pc   Removed for LaTeX2e
%\textheight 9in  \textwidth 6.5in 
\addtolength{\textheight}{98pt}
\addtolength{\textwidth}{80pt}
\columnsep .25in \columnseprule 0pt
\newdimen\dummy
\dummy=\oddsidemargin
\addtolength{\dummy}{72pt}
\marginparwidth=.675\dummy
\marginparsep=.1\dummy


\def\keywords#1\par{\noindent KEY WORDS #1}
\def\keyphrases#1{\noindent KEY WORDS #1}  % For use by SW20
     
\def\@oddhead{}\def\@evenhead{}
%  For debugging, keep running footers.
%\def\@oddfoot{}
%\def\@oddfoot{\rm\rightmark \hfil Page \thepage}
\def\@oddfoot{\hfil \tiny\thepage \hfil}
\def\@evenfoot{\@oddfoot}
\def\maketitle{\par
 \begingroup
 \def\@makefnmark{\hbox to 0pt{$^{\@thefnmark}$\hss}}
 \twocolumn[\@maketitle]
 \@thanks
 \endgroup
 \let\maketitle\relax
 \let\@maketitle\relax
 \gdef\@thanks{}\gdef\@author{}\gdef\@title{}\let\thanks\relax
 \@afterheading}
     
\def\@maketitle{\vbox{\hsize\textwidth
 \linewidth\hsize \vskip\baselineskip \centering
 {\large\bf \@title \par} 
 {%\let\@endline=\\\def\\{\@endline\rm}%
  \gdef\thefootnote{*}
  \def\and{\unskip\enspace{and}\enspace}%
  \def\And{\unskip\\\null\\\bf}%
  \begin{tabular}[t]{c}\bf\@author \end{tabular}\vskip 1.5ex} 
  }}
               
     
%  Allow more space above a narrower footnote rule.
%  Footnotes not quite so far apart.
\footnotesep=10pt
\skip\footins=12pt              % full blank line
\def\footnoterule{\kern-8pt
  \hrule width 5pc \kern 7.6pt } % the \hrule is .4pt high
     
     
%  Force footnotes to bottom of page, regardless of ragged bottom.
\def\@makecol{\ifvoid\footins \setbox\@outputbox\box\@cclv
   \else\setbox\@outputbox
     \vbox to\@colht{\unvbox\@cclv\vfill\relax
          \vskip\skip\footins\footnoterule\unvbox\footins}\fi
     \xdef\@freelist{\@freelist\@midlist}\gdef\@midlist{}\@combinefloats
     \setbox\@outputbox\vbox to\@colht{\boxmaxdepth\maxdepth
        \@texttop\unvbox\@outputbox \@textbottom}\global\maxdepth\@maxdepth}
     
     
%  All footnotes are numbered; no other symbols.
\setcounter{footnote}{0}
 
\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
     \def\@svsec{}\else
     \refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname\hskip 1em }\fi
     \@tempskipa #5\relax
      \ifdim \@tempskipa>\z@
        \begingroup #6\relax
		  \@hangfrom{\hskip #3\relax\@svsec}
          {\interlinepenalty \@M #8\par}
        \endgroup
       \csname #1mark\endcsname{#7}\addcontentsline
         {toc}{#1}{\ifnum #2>\c@secnumdepth \else
                      \protect\numberline{\csname the#1\endcsname}\fi
                    #7}\else
        \def\@svsechd{#6\hskip #3\@svsec #8\csname #1mark\endcsname
                      {#7}\addcontentsline
                           {toc}{#1}{\ifnum #2>\c@secnumdepth \else
                             \protect\numberline{\csname the#1\endcsname}\fi
                       #7}}\fi
        \@xsect{#5}} 
     
\def\section{\@startsection {section}{1}{\z@}{1.2ex plus .6ex
 minus .1ex}{6pt}{\normalsize\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}{.6ex plus .4ex
 minus .1ex}{4pt}{\parindent=\z@\normalsize\bf}}
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{.5ex plus .3ex
 minus .1ex}{-6pt}{\normalsize\it}}

\def\thesection{\arabic{section}.}
\def\thesubsection{\thesection\arabic{subsection}}
\def\thesubsubsection{}
\def\theparagraph{}
\def\thesubparagraph{}
     
%  Change the default item labels after the first.
     
\def\bull{\vrule height .9ex width .8ex depth -.1ex } % square bullet
     
\def\labelitemii{$\circ$}
\def\labelitemiii{\bull}
\def\labelitemiv{$\ast$}
%  Indent verbatim blocks
\def\verbatim{\@totalleftmargin\parindent
   \@verbatim \frenchspacing\@vobeyspaces \@xverbatim}
     
%  Figure and table caption labels boldface
\long\def\@makecaption#1#2{
  \vskip 10pt
  \setbox\@tempboxa\hbox{{\bf#1:}\enspace#2}
  \ifdim \wd\@tempboxa >\hsize \unhbox\@tempboxa\par \else \hbox
    to\hsize{\hfil\box\@tempboxa\hfil}
  \fi}
               
\newdimen\bibindent
\bibindent=1.5em
\def\thebibliography#1{\section*{REFERENCES\@mkboth  % see below for oldsect def
 {REFERENCES}{REFERENCES}}\list
 {}{%\advance\leftmargin\bibindent
 \itemindent -2em
 \listparindent \itemindent
 \parsep \z@
 \itemsep \z@
 \usecounter{enumi}}
 \def\newblock{\hskip 0em}
 \sloppy
 \sfcode`\.=1000\relax}
\let\endthebibliography=\endlist


\newlength{\n@rmal@parindent}   % set below after \parindent set
\def\no@biblabelindent{}%\leavevmode\kern\n@rmal@parindent}
     
\def\@lbibitem[#1]#2{\item[\@biblabel{#1}]\if@filesw
      { \def\protect##1{\string ##1\space}\immediate
        \write\@auxout{\string\bibcite{#2}{#1}}\fi
    \no@biblabelindent\ignorespaces}}
\def\@bibitem#1{\item\if@filesw \immediate\write\@auxout
      {\string\bibcite{#1}{\the\c@enumi}}\fi\no@biblabelindent\ignorespaces}
\twocolumn
\sloppy
\parindent 20pt
\setlength{\n@rmal@parindent}{\parindent}
\leftmargini 2em
\leftmargin\leftmargini
\leftmarginv .5em
\leftmarginvi .5em
%\flushbottom
     
\def\same{---\kern -2pt ---\thinspace}

\def\appendices{\par
  \setcounter{section}{0}%
  \def\thesection{\Alph{section}.}
  \def\section{\@startAsection {section}{1}{\z@}{1.5ex plus 1ex
        minus .2ex}{.6ex plus .2ex}{\normalsize\bf}}

  \def\@startAsection##1##2##3##4##5##6{%
   \if@noskipsec 
       \leavevmode 
   \fi
   \par 
   \@tempskipa ##4\relax
   \@afterindenttrue
   \ifdim \@tempskipa <\z@ 
        \@tempskipa -\@tempskipa 
        \@afterindentfalse
   \fi
   \if@nobreak 
      \everypar{}
   \else
      \addpenalty{\@secpenalty}
      \addvspace{\@tempskipa}
   \fi 
   \@ifstar
       {\@ssect{##3}{##4}{##5}{##6}}
       {\@dblarg{\@Asect{##1}{##2}{##3}{##4}{##5}{##6}}}}


   \def\@Asect##1##2##3##4##5##6[##7]##8{\ifnum ##2>\c@secnumdepth
     \def\@svsec{}\else
     \refstepcounter{##1}\edef\@svsec{\csname the##1\endcsname\hskip 1em }\fi
     \@tempskipa ##5\relax
      \ifdim \@tempskipa>\z@
        \begingroup ##6\relax
		  \@hangfrom{\hskip ##3\relax}% JCS - move number to right:  App A
          {\interlinepenalty \@M ##8 \@svsec\par}
        \endgroup
        \csname ##1mark\endcsname{##7}\addcontentsline{toc}{##1}
        {\ifnum ##2>\c@secnumdepth 
         \else
             \protect\numberline{\csname the##1\endcsname}
         \fi
         ##7}
       \else
         \def\@svsechd{##6\hskip ##3\@svsec ##8\csname ##1mark\endcsname
                      {##7}\addcontentsline{toc}{##1}
                      {\ifnum ##2>\c@secnumdepth 
                       \else
                          \protect\numberline{\csname the##1\endcsname}
                       \fi##7}}
	   \fi
       \@xsect{##5}\unskip\indent}

}


\setcounter{secnumdepth}{2}
\pagestyle{empty}