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WP28

Beyond One-Step Distributed Maximum Likelihood: Local Bias Cancellation, Global Synchronization, and the Price of Inexact Curvature

A joint order–round frontier, its sharpness in an exact model, and measured communication costs

Simon-Pierre Boucher · UQO Working Papers · October 2026 · v1.0

Distributed maximum likelihood estimation trades statistical efficiency for communication. The paper studies a two-phase protocol in which each of K workers corrects the bias of its local maximum likelihood estimator by an r-th order split-sample extrapolation over nested sub-blocks, the coordinator averages the…