% \iffalse meta-comment
%
% Copyright (c) 2019-2021 by Edgaras SAKURAS, VTeX, Lithuania for EJP-ECP
% Copyright (c) 2018 by Deimantas GALCIUS, VTeX, Lithuania
% Copyright (c) 2016-2017 by Eimantas GUMBAKIS, VTeX, Lithuania for EJP-ECP
% Copyright (c), 2011-2015 by Krzysztof BURDZY and Djalil CHAFAI for EJP-ECP
% ---------------------------------------------------------------------------
%
% This file may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.2
% of this license or (at your option) any later version.
% The latest version of this license is in:
%
% https://www.latex-project.org/lppl.txt
%
% and version 1.2 or later is part of all distributions of LaTeX
% version 1999/12/01 or later.
%
% \fi
%
% \iffalse
%<*driver>
\ProvidesFile{ejpecp.dtx}
%</driver>
%
%<class>\NeedsTeXFormat{LaTeX2e}[1999/12/01]
%<class>\ProvidesClass{ejpecp}
%<*class>
[2021/11/04 v1.11.3 class for EJP and ECP journals]
%</class>
%<class>\ClassInfo{ejpecp}{Copyright (c) 2019-2021 Edgaras SAKURAS, VTeX, Lithuania.}
%<class>\ClassInfo{ejpecp}{Copyright (c) 2018 Deimantas GALCIUS, VTeX, Lithuania.}
%<class>\ClassInfo{ejpecp}{Copyright (c) 2016-2017 Eimantas GUMBAKIS, VTeX, Lithuania for EJP-ECP.}
%<class>\ClassInfo{ejpecp}{Copyright (c), 2011-2015 BURDZY and CHAFAI for EJP-ECP.}
%
%<*driver>
\documentclass[10pt]{ltxdoc}
\usepackage[pdftex]{hyperref}
\hypersetup{pdfborder=0 0 0}
\usepackage[a4paper,margin=2.5cm]{geometry}
\EnableCrossrefs
\CodelineIndex
\RecordChanges
\begin{document}
\DocInput{ejpecp.dtx}
\end{document}
%</driver>
% \fi
%
% \CheckSum{983}
%
% \CharacterTable
% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
% Digits \0\1\2\3\4\5\6\7\8\9
% Exclamation \! Double quote \" Hash (number) \#
% Dollar \$ Percent \% Ampersand \&
% Acute accent \' Left paren \( Right paren \)
% Asterisk \* Plus \+ Comma \,
% Minus \- Point \. Solidus \/
% Colon \: Semicolon \; Less than \<
% Equals \= Greater than \> Question mark \?
% Commercial at \@ Left bracket \[ Backslash \\
% Right bracket \] Circumflex \^ Underscore \_
% Grave accent \` Left brace \{ Vertical bar \|
% Right brace \} Tilde \~}
%
% \changes{v0.5}{2011/11/26}{Initial version.}
% \changes{v0.57}{2011/12/01}{Improvements, see the README file.}
% \changes{v0.577}{2011/12/12}{Improvements, see the README file.}
% \changes{v0.5772}{2011/12/24}{Improvements, see the README file.}
% \changes{v0.57721}{2012/01/09}{Improvements, see the README file.}
% \changes{v0.577215}{2012/01/09}{Improvements, see the README file.}
% \changes{v1.0}{2012/12/12}{First stable version, see the README file.}
% \changes{v1.1}{2014/12/13}{Corrected stable version, see the README file.}
% \changes{v1.2}{2015/12/23}{Transition to EJMS/VTEX/ProjectEuclid.}
% \changes{v1.3}{2016/02/23}{Updated journal URLs and DOI output format}
% \changes{v1.4}{2016/04/06}{Abstract baselineskip correction}
% \changes{v1.5}{2016/09/06}{hypertexnames=false configuration for hyperref package}
% \changes{v1.6}{2019/03/28}{full url doi, package maintaining and shorttitle info}
% \changes{v1.7}{2019/04/04}{merged with production version: fixltx2e removed, natbib setup with afterpackage, etc}
% \changes{v1.8.2}{2020/07/30}{no. prefix updated and msc2020}
% \changes{v1.8.3}{2020/08/26}{Update URLs}
% \changes{v1.9.0}{2020/10/21}{Supplement environment}
% \changes{v1.10.0}{2021/02/11}{acks and support}
% \changes{v1.11.0}{2021/04/20}{preprint option}
% \changes{v1.11.1}{2021/08/17}{removed dependency on lastpage package}
% \changes{v1.11.2}{2021/09/07}{nobera and nofontexpansion options added}
% \changes{v1.11.3}{2021/11/04}{removed dash in MR}
% \GetFileInfo{ejpecp.dtx}
%
% \DoNotIndex{\newcommand,\newenvironment}
%
% \title{The ejpecp class\thanks{\fileinfo\ \fileversion\ dated \filedate.}%
% \thanks{Current maintainer of class file is
% \href{https://vtex.lt}{VTeX, Lithuania}. Please send all queries to
% \href{mailto:latex-support@vtex.lt}{\texttt{latex-support@vtex.lt}}.}}
%
% \author{K. Burdzy\and \href{http://djalil.chafai.net/}{D. Chafa\"\i}}
%
% \maketitle
%
% \section{Introduction}
%
% The \emph{ejpecp} \LaTeXe\ class is designed for the typesetting of
% articles for the mathematical research periodicals Electronic Journal or
% Probability (EJP) and Electronic Communications in Probability (ECP).
%
% \section{Usage}
%
% This class works only with the pdflatex engine. See the sample file for its
% usage.
%
% \iffalse
%
% \DescribeMacro{\amacro} %
% This macro does nothing.\index{doing nothing|usage} It is merely an example.
% If this were a real macro, you would put a paragraph here describing what
% the macro is supposed to do, what its mandatory and optional arguments are,
% and so forth.
%
% \DescribeEnv{anenv} %
% This environment does nothing. It is merely an example. If this were a real
% environment, you would put a paragraph here describing what the environment
% is supposed to do, what its mandatory and optional arguments are, and so
% forth. %
%
% \fi
%
% \StopEventually{\PrintChanges\PrintIndex}
%
% \section{Implementation}
%
% \begin{macrocode}
%% We declare and handle our class options
\DeclareOption{EJP}{%
\newcommand{\@EJP}{}
\newcommand{\@JOURNAL}{EJP}
\newcommand{\@JOURNALA}{Electron. J. Probab.}
\newcommand{\@JOURNALL}{Electronic Journal of Probability}
\newcommand{\@ISSN}{1083-6489}
\newcommand{\@URL}{www.imstat.org/ejp}
\newcommand{\@FULLURL}{https://imstat.org/journals-and-publications/electronic-journal-of-probability/}
}
\DeclareOption{ECP}{%
\newcommand{\@ECP}{}
\newcommand{\@JOURNAL}{ECP}
\newcommand{\@JOURNALA}{Electron. Commun. Probab.}
\newcommand{\@JOURNALL}{Electronic Communications in Probability}
\newcommand{\@ISSN}{1083-589X}
\newcommand{\@URL}{www.imstat.org/ecp}
\newcommand{\@FULLURL}{https://imstat.org/journals-and-publications/electronic-communications-in-probability/}
}
\DeclareOption{NOAMS}{% prevents the load of AMS packages
\newcommand{\@NOAMS}{}
}
\DeclareOption{NODS}{% asks to avoid renaming \mathbb into \mathds
\newcommand{\@NODS}{}
}
\DeclareOption{PSTRICKS}{% pstricks and pspicture.
% File must be compiled with "latex --shell-escape", then use dvipdf
\newcommand{\@PSTRICKS}{}
}
\DeclareOption{draft}{%
\PassOptionsToClass{draft}{article}
}
\DeclareOption{final}{%
\PassOptionsToClass{final}{article}
}
\newif\if@ejpecp@preprint \@ejpecp@preprintfalse
\DeclareOption{preprint}{\@ejpecp@preprinttrue}
\newif\if@ejpecp@nofontexpansion \@ejpecp@nofontexpansionfalse
\DeclareOption{nofontexpansion}{\@ejpecp@nofontexpansiontrue}
\newif\if@ejpecp@nobera \@ejpecp@noberafalse
\DeclareOption{nobera}{\@ejpecp@noberatrue}
\DeclareOption*{%
\PackageWarning{ejpecp}{Unknown option ���\CurrentOption���}%
}
%\ExecuteOptions{EJP}
\ProcessOptions\relax
%% We use the standard article class
\LoadClass[a4paper,10pt,twoside]{article}
%% Packages and their options
\RequirePackage{graphicx}
\ifx\@PSTRICKS\undefined
\DeclareGraphicsExtensions{.pdf,.PDF,.eps,.EPS,.png,.PNG,.jpg,.JPG,.jpeg,.JPEG}
\else
\RequirePackage[pdf]{pstricks}
\RequirePackage{auto-pst-pdf}
\fi
\RequirePackage{mathtools}
\RequirePackage{microtype}
\if@ejpecp@nofontexpansion
\microtypesetup{expansion=false}
\fi
\RequirePackage{latexsym}
\ifx\@NODS\undefined
\RequirePackage{dsfont}
\fi
\ifx\@NOAMS\undefined
\RequirePackage{amsmath,amsfonts,amssymb,amsthm}
\fi
\RequirePackage{geometry}
\geometry{a4paper,portrait,left=3.5cm,right=3.5cm,top=3.5cm,bottom=3.5cm}
\if@ejpecp@nobera
\else
\RequirePackage{bera} % beware that the logo is sensitive to default font change
\fi
\RequirePackage{hyperref}
\hypersetup{
pagebackref=false,
pdfborder={0 0 0},
pdfstartview={FitH},
hypertexnames=false,
breaklinks,
}
\def\UrlFont{}
%%%% Macros et Environments
%% General macros
\newcommand{\@TITLE}{FIXME!}
\newcommand{\@SHORTTITLE}{FIXME!}
\newcommand{\@KEYWORDS}{FIXME!}
\newcommand{\@AMSSUBJ}{FIXME!}
\newcommand{\@ABSTRACT}{FIXME!}
\newcommand{\@VOLUME}{0}
\newcommand{\@PAPERNUM}{0}
\newcommand{\@YEAR}{2012}
\newcommand{\@PAGESTART}{1}
\newcommand{\@PAGEEND}{\@ifundefined{ejpecp@lastpage}{\@PAGESTART}{\ejpecp@lastpage}}
\newcommand{\@SUBMITTED}{FIXME!}
\newcommand{\@ACCEPTED}{FIXME!}
\newcommand{\TITLE}[1]{\renewcommand{\@TITLE}{#1}}
\newcommand{\SHORTTITLE}[1]{\renewcommand{\@SHORTTITLE}{#1}}
\newcommand{\DEDICATORY}[1]{\gdef\@DEDICATORY{#1}}
\newcommand{\AUTHORS}[1]{\author{#1}}
\let\FIRSTNAMES\@firstofone
\let\SURNAME\@firstofone
\newcommand{\KEYWORDS}[1]{\renewcommand{\@KEYWORDS}{#1}}
\newcommand{\AMSSUBJ}[1]{\renewcommand{\@AMSSUBJ}{#1}}
\newcommand{\AMSSUBJSECONDARY}[1]{\gdef\@AMSSUBJSECONDARY{#1}}
\newcommand{\ABSTRACT}[1]{\renewcommand{\@ABSTRACT}{#1}}
\newcommand{\VOLUME}[1]{\renewcommand{\@VOLUME}{#1}}
\newcommand{\PAPERNUM}[1]{\renewcommand{\@PAPERNUM}{#1}}
\newcommand{\YEAR}[1]{\renewcommand{\@YEAR}{#1}}
\newcommand{\PAGESTART}[1]{\renewcommand{\@PAGESTART}{#1}}
\newcommand{\PAGEEND}[1]{%
\let\write@ejpecp@lastpage\relax
\renewcommand{\@PAGEEND}{#1}%
}
\newcommand{\SUBMITTED}[1]{\renewcommand{\@SUBMITTED}{#1}}
\newcommand{\ACCEPTED}[1]{\renewcommand{\@ACCEPTED}{#1}}
\newcommand{\DOI}[1]{\gdef\@DOI{#1}}
\newcommand{\ARXIVID}[1]{\gdef\@ARXIVID{#1}}
\newcommand{\HALID}[1]{\gdef\@HALID{#1}}
\newcommand{\ACKNO}[1]{\noindent\textbf{Acknowledgments.} #1}
\def\acknowledgementsname{Acknowledgments}
\newenvironment{acks}[1][\acknowledgementsname]{\noindent\textbf{#1.}\space\ignorespaces}{\par}
\def\EMAIL#1{E-mail:~\texttt{\href{mailto:#1}{\nolinkurl{#1}}}}
\newcommand{\BEMAIL}[1]{\newline\hspace*{1.8em}\EMAIL{#1}} % useful in ftnotes
%% Logos
\newcommand{\@EJPLOGO}{% designed by KB.
% This version is for bera 10pt (depends on the font via "em" and "ex")
\centerline{%
\hbox{%
\vrule height -0.4 pt depth 0.8 pt width 27.7 em\space
\kern -27.8 em\space
\raise 0.03ex \hbox {\bf E}\space
\raise 0.06ex \hbox {l}\space
\raise .13ex \hbox {e}\space
\raise .24ex \hbox {c}\space
\raise .45ex \hbox {t}\space
\raise .78ex \hbox {r}\space
\raise 1.31ex \hbox {o}\space
\raise 2.08ex \hbox {n}\space
\raise 3.14ex \hbox {i}\space
\raise 4.53ex \hbox {c}\space
\kern 1em\space
\raise 8.15ex \hbox {\bf J}\space
\raise 10.15ex \hbox {o}\space
\raise 12.04ex \hbox {u}\space
\raise 13.60ex \hbox {r}\space
\raise 14.64ex \hbox {n}\space
\kern .3 em\space
\vrule depth 0.8pt height 14.5ex \space
\kern -.3em\space
\raise 15ex \hbox {a}\space
\raise 14.64ex \hbox {l}\space
\kern 1em\space
\raise 12.04ex \hbox {o}\space
\raise 10.15ex \hbox {f}\space
\kern 1em\space
\raise 6.23ex \hbox {\bf P}\space
\raise 4.53ex \hbox {r}\space
\raise 3.14ex \hbox {o}\space
\raise 2.08ex \hbox {b}\space
\raise 1.31ex \hbox {a}\space
\raise .78ex \hbox {b}\space
\raise .45ex \hbox {i}\space
\raise .24ex \hbox {l}\space
\raise .13ex \hbox {i}\space
\raise .06ex \hbox {t}\space
\raise .03ex \hbox {y}%
}%
}%
}%EJPLOGO
\newcommand{\@ECPLOGO}{% designed when Ren\'e Carmona was in charge of ECP
\raisebox{0.3cm}{\parbox[t]{1.3in}{\noindent\rule{1.3in}{1.6pt}\\
\textbf{ ELECTRONIC}\\
\textbf{ COMMUNICATIONS}\\
\textbf{ in PROBABILITY}\\
\rule[.08in]{1.3in}{1.6pt}}}%
}%ECPLOGO
\def\@doiprefix{https://doi.org/}
\def\printdoi{\texttt{\href{\@doiprefix\@DOI}{\@doiprefix\@DOI}}}
\def\msc@url{https://ams.org/mathscinet/msc/msc2020.html}
%% for multiple thanks/support in title
\def\title@makefnmark{%
\setbox\@tempboxa\hbox{\@textsuperscript{\normalfont\@thefnmark}}%
\@ifundefined{prev@makefnmark@wd}%
{\edef\prev@makefnmark@wd{0pt}}%
{\edef\prev@makefnmark@wd{\the\dimexpr\prev@makefnmark@wd+\wd\@tempboxa\relax}}%
\rlap{\hskip\prev@makefnmark@wd\unhbox\@tempboxa}%
}
\def\title@thanks#1{\unskip\unkern\orig@thanks{#1}\ignorespaces}%
%% make title long
\renewcommand\title[1]{\gdef\@title{#1}}
%% Macro handling the first page
\def\papernum@name{no.}
\newcommand{\FIRSTPAGE}{%
\setcounter{page}{\@PAGESTART}%
\title{\small
\let\orig@thanks\thanks
\ifx\@EJP\undefined\else
\if@ejpecp@preprint
\phantom{\@EJPLOGO}\par
\else
\@EJPLOGO
\fi
\bigskip
\if@ejpecp@preprint
\null\null
\else
\centerline{\@JOURNALA\ \textbf{\@VOLUME} (\@YEAR),\
\papernum@name\ \@PAPERNUM, \,\@PAGESTART--\@PAGEEND.}%
\centerline{ISSN:\ \texttt{\href{\@FULLURL}{\@ISSN}} %
\ifx\@DOI\undefined\else
\ \printdoi
\fi}%
\fi
\bigskip
\bigskip
\bgroup
\@ifundefined{no@title@thanks@support}{%
\let\thanks\title@thanks
\let\@makefnmark\title@makefnmark
\let\support\thanks
}{}%
\Large\bfseries\@TITLE\par
\egroup
\fi
\ifx\@ECP\undefined
\else
\parbox[t]{9cm}{%
\if@ejpecp@preprint
\else
\@JOURNALA\ \textbf{\@VOLUME} (\@YEAR),
\papernum@name\ \@PAPERNUM, \@PAGESTART--\@PAGEEND.\\
\ifx\@DOI\undefined
\else
\ \printdoi
\fi \\
ISSN:\ \texttt{\href{\@FULLURL}{\@ISSN}}%
\fi
}%
\hfill
\if@ejpecp@preprint
\phantom{\@ECPLOGO}%
\else
\@ECPLOGO
\fi\\
\bigskip
\bigskip
\bgroup
\@ifundefined{no@title@thanks@support}{%
\let\thanks\title@thanks
\let\@makefnmark\title@makefnmark
\let\support\thanks
}{}%
\Large\@TITLE\par
\egroup
\fi
}% end title
\date{%
\ifx\@DEDICATORY\undefined
\else
\noindent
\emph{\small\sffamily\@DEDICATORY}%
\fi}%
\maketitle\thispagestyle{empty}%
\begin{abstract}%
\noindent
\@ABSTRACT\par\vskip 1em\relax
{\footnotesize
\noindent\textbf{Keywords: }\@KEYWORDS.\par
\noindent\href\msc@url{\textbf{MSC2020 subject classifications: }}%
\ifx\@AMSSUBJSECONDARY\undefined
\noindent
\@AMSSUBJ.\par
\else
\noindent
Primary \@AMSSUBJ, Secondary \@AMSSUBJSECONDARY.\par
\fi
\if@ejpecp@preprint
\mbox{}\par
\else
\noindent
Submitted to \@JOURNAL\ on \@SUBMITTED,
final version accepted on \@ACCEPTED.\par
\fi
\ifx\@ARXIVID\undefined
\else
\noindent
Supersedes
\texttt{\href{https://arXiv.org/abs/\@ARXIVID}{arXiv:\@ARXIVID}}.%
\fi\par
\ifx\@HALID\undefined
\else
\noindent
Supersedes
\texttt{\href{https://hal.archives-ouvertes.fr/\@HALID}{HAL:\@HALID}}.%
\fi\par
}%footnotesize
\end{abstract}
\smallskip
}%END-FIRSTPAGE
%% Macro setting the PDF title
\newcommand{\PDFFIELDS}{%
\if@ejpecp@preprint
\else
\hypersetup{%
pdftitle={\@JOURNALA\ \@VOLUME\ (\@YEAR), \papernum@name\ \@PAPERNUM, \@doiprefix\@DOI}}%
\hypersetup{pdfproducer={\@JOURNAL\ Managing Editor https://\@URL}}%
\hypersetup{pdfauthor={Please see \@doiprefix\@DOI}}%
\fi
\hypersetup{pdfkeywords={\@KEYWORDS}}%
\hypersetup{pdfcreator={LaTeX with ejpecp.cls \@nameuse{ver@ejpecp.cls}}}%
\hypersetup{pdfsubject={Probability Theory}}%
}%END-PDFFIELDS
%% Supplement
\def\supplement@name{Supplementary Material}
\def\stitle#1{\def\@stitle{#1}}
\def\stitle@fmt#1{\textbf{#1.}\ }
\def\sdescription#1{\def\@sdescription{#1}}
\def\suppsection@fmt{\section*{\supplement@name}}
\long\def\supplement{\@ifnextchar[{\@supplement}{\@supplement[]}}
\long\def\@supplement[#1]{%
\suppsection@fmt
\global\let\suppsection@fmt\smallskip
}
\def\endsupplement{%
\@ifundefined{@stitle}%
{}%
{\stitle@fmt{\@stitle}}%
%
\@ifundefined{@sdescription}{}{\@sdescription}%
\par
}
%% Bibliography
\def\@MRExtract#1 #2!{#1} % thanks, Martin!
\newcommand{\MR}[1]{% we need to strip the "(...)"
\xdef\@MRSTRIP{\@MRExtract#1 !}%
\href{https://mathscinet.ams.org/mathscinet-getitem?mr=\@MRSTRIP}{MR\@MRSTRIP}}
\newcommand{\ARXIV}[1]{\href{https://arXiv.org/abs/#1}{arXiv:#1}}
\def\bibliography@size{\small}
\renewenvironment{thebibliography}[1]
{%
\section*{\refname
\@mkboth{\MakeUppercase\refname}{\MakeUppercase\refname}}%
\phantomsection
\addcontentsline{toc}{section}{\refname}%
\list{\@biblabel{\@arabic\c@enumiv}}%
{\settowidth\labelwidth{\@biblabel{#1}}%
\bibliography@size
\setlength{\labelsep}{0.4em}%
\setlength{\leftmargin}{\labelwidth}%
\addtolength{\leftmargin}{\labelsep}%
\setlength{\itemsep}{-.25em}%
\@openbib@code
\usecounter{enumiv}%
\let\p@enumiv\@empty
\renewcommand\theenumiv{\@arabic\c@enumiv}}%
\sloppy\clubpenalty4000\@clubpenalty\clubpenalty\widowpenalty4000%
\sfcode`\.\@m
}{%
\def\@noitemerr{%
\@latex@warning{Empty `thebibliography' environment}}%
\endlist
}
%% Theorem styles
\ifx\@NOAMS\undefined
\newtheoremstyle{ejpecpbodyit}% name % cf. thmtest.tex of AMSLaTeX
{3pt} % Space above
{3pt} % Space below
{\itshape} % Body font
{} % Indent amount (empty = no indent,
% \parindent = para indent)
{\bfseries\sffamily} % Thm head font
{.} % Punctuation after thm head
{ } % Space after thm head: " " = normal interword space;
% \newline = linebreak
{} % Thm head spec (can be left empty, meaning `normal')
\newtheoremstyle{ejpecpbodyrm}% name % cf. thmtest.tex of AMSLaTeX
{3pt} % Space above
{3pt} % Space below
{} % Body font
{} % Indent amount (empty = no indent,
% \parindent = para indent)
{\bfseries\sffamily} % Thm head font
{.} % Punctuation after thm head
{ } % Space after thm head: " " = normal interword space;
% \newline = linebreak
{} % Thm head spec (can be left empty, meaning `normal')
\fi
%%
\ifx\@NOAMS\undefined
\theoremstyle{ejpecpbodyit}
\fi
\newtheorem{theorem}{Theorem}[section]
\newtheorem{assumptions}[theorem]{Assumptions}
\newtheorem{assumption}[theorem]{Assumption}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{condition}[theorem]{Condition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{definitions}[theorem]{Definitions}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{facts}[theorem]{Facts}
\newtheorem{fact}[theorem]{Fact}
\newtheorem{heuristics}[theorem]{Heuristics}
\newtheorem{hypothesis}[theorem]{Hypothesis}
\newtheorem{hypotheses}[theorem]{Hypotheses}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{notations}[theorem]{Notations}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{proposition}[theorem]{Proposition}
\ifx\@NOAMS\undefined
\theoremstyle{ejpecpbodyrm}
\fi
\newtheorem{example}[theorem]{Example}
\newtheorem{exercise}[theorem]{Exercise}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{question}[theorem]{Question}
\newtheorem{remark}[theorem]{Remark}
%% Numbering
\ifx\@NOAMS\undefined
\numberwithin{equation}{section}
\fi
%% Itemize and enumerate for bera
\newcommand{\@reduceitemsep}{\addtolength{\itemsep}{-0.5\baselineskip}}
\let\OLD@itemize\itemize
\renewcommand\itemize{\OLD@itemize\@reduceitemsep}
\let\OLD@enumerate\enumerate
\renewcommand\enumerate{\OLD@enumerate\@reduceitemsep}
%% Replace \mathbb by \mathds except if we require the contrary
\ifx\@NODS\undefined
\let\realmathbb=\mathbb
\let\mathbb=\mathds
\fi
%% Headings
\def\write@ejpecp@lastpage{\immediate\write\@auxout{\string\xdef\string\ejpecp@lastpage{\the\c@page}}}
\newcommand{\@HBLOB}{%
\href{\@doiprefix\@DOI}%
{\@JOURNAL\ \textbf{\@VOLUME}\, (\@YEAR),\ paper \@PAPERNUM.}}
\renewcommand{\@evenfoot}{%
\normalfont\footnotesize\if@ejpecp@preprint\mbox{}\else\@HBLOB\fi\hfil
\small
\write@ejpecp@lastpage
\raisebox{-1em}{Page \thepage/\@PAGEEND}\hfil
\footnotesize\if@ejpecp@preprint\mbox{}\else\href{\@FULLURL}{https://\@URL}\fi}
\renewcommand{\@oddfoot}{\@evenfoot}
\renewcommand{\@evenhead}{\hfil\@SHORTTITLE\hfil}
\renewcommand{\@oddhead}{\@evenhead}
%% smaller sections titles
\renewcommand{\section}{%
\@startsection
{section}
{1}
{0em}
{\baselineskip}
{0.5\baselineskip}
{\normalfont\large\bfseries}}
\renewcommand{\subsection}{%
\@startsection
{subsection}
{2}
{0em}
{\baselineskip}
{0.25\baselineskip}
{\normalfont\bfseries}}
\RequirePackage{afterpackage}
\AfterPackage{natbib}
{%
\def\bibcleanup{\vskip-\lastskip\vskip10\p@}%
\renewcommand{\bibfont}{\small}%
\newlength{\standard@parsep}%
\newlength{\standard@itemsep}%
\setlength{\standard@parsep}{4.0pt plus 2.0pt minus 1.0pt}%
\setlength{\standard@itemsep}{-2.02498pt}%
\setlength{\bibsep}{\standard@parsep}%
\addtolength{\bibsep}{\standard@itemsep}%
\renewcommand\NAT@bibsetnum[1]%
{%
\settowidth\labelwidth{\@biblabel{#1}}%
\setlength{\leftmargin}{\labelwidth}\addtolength{\leftmargin}{\labelsep}%
\setlength{\labelsep}{3pt}%
\setlength{\itemsep}{\bibsep}\setlength{\parsep}{\z@}%
\ifNAT@openbib
\addtolength{\leftmargin}{\bibindent}%
\setlength{\itemindent}{-\bibindent}%
\setlength{\listparindent}{\itemindent}%
\setlength{\parsep}{0pt}%
\fi
}%
}%
\def\amp{&}%
\InputIfFileExists{ejpecp.cfg}
{}
{\def\papernum@name{article no.}}
%% Macros
\AtBeginDocument{\FIRSTPAGE\PDFFIELDS}
\AtEndDocument{\vfill}
\endinput
%%
%% End of file `ejpecp.cls'.
%% Macros
\AtBeginDocument{\FIRSTPAGE\PDFFIELDS}
\AtEndDocument{\vfill}
% \end{macrocode}
% \Finale
\endinput