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% UQO Working Paper No. 28 — Beyond One-Step Distributed Maximum Likelihood
% Preamble = UQO template (Recherche-UQO/HARMONISATION.md) + amsthm environments + algorithmic
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% METADATA
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\newcommand{\WPnumber}{28}
\newcommand{\WPtitle}{Beyond One-Step Distributed Maximum Likelihood: Local Bias Cancellation, Global Synchronization, and the Price of Inexact Curvature}
\newcommand{\WPsubtitle}{A joint order--round frontier, its sharpness in an exact model, and measured communication costs}
\newcommand{\WPdate}{October 2026}
\newcommand{\WPversion}{1.0}
\newcommand{\WPabstract}{%
  \input{sections/abstract}%
}
\newcommand{\WPkeywords}{distributed estimation, maximum likelihood, split-sample jackknife, one-step Newton estimator, communication complexity, asymptotic equivalence, Monte Carlo}
\newcommand{\WPjel}{C13, C15, C55, C63}
\newcommand{\WPauthor}{Simon-Pierre Boucher}
\newcommand{\WPaffiliation}{%
  Département des sciences administratives\\
  Université du Québec en Outaouais%
}
\newcommand{\WPemail}{simon-pierre.boucher@uqo.ca}
\newcommand{\WPaddress}{%
  Gatineau -- Pavillon Alexandre-Taché\\
  283, boulevard Alexandre-Taché\\
  Gatineau, Québec, Canada J9A 1L8%
}
\hypersetup{pdftitle={Beyond One-Step Distributed Maximum Likelihood: Local Bias Cancellation, Global Synchronization, and the Price of Inexact Curvature}, pdfauthor={Simon-Pierre Boucher}}

\input{tables/numbers}

\begin{document}
\input{sections/titlepage}
\input{sections/provenance}
\input{sections/introduction}
\input{sections/literature}
\input{sections/environment}
\input{sections/construction}
\input{sections/results}
\input{sections/exactmodel}
\input{sections/inexact}
\input{sections/costmodel}
\input{sections/montecarlo}
\input{sections/benchmarks}
\input{sections/robustness}
\input{sections/discussion}
\input{sections/conclusion}

\newpage
\bibliography{references}

\begin{appendices}
\input{appendices/proofs}
\input{appendices/exponential}
\input{appendices/algorithms}
\input{appendices/replication}
\end{appendices}
\end{document}