math.ST · 2026-08-04 · No. 74

Statistics Theory, 2026-08-04.

1 new papers in math.ST. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Beyond Modern Asymptotics for Log-Likelihood Ratios in Logistic Regression

    Hugo Chardon, Reese Pathak, Nikita Zhivotovskiy

    math.ST · cs.IT · cs.LG

    We characterize the finite sample behavior of the log-likelihood ratio statistic in binary logistic regression, uniformly over both the design and the target parameter. For $n\geq d\geq 3$, we determine, up to universal constants, its worst case $(1-δ)$ quantile over all fixed collections of design vectors and all target parameters: \[ d\log\left(\frac{e n}{d}\right)+\log\left(\frac{1}δ\right). \] This is a nonasymptotic analogue of the Wilks...

    arxiv.org/abs/2608.02507 · PDF

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