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math.ST2026
Beyond Modern Asymptotics for Log-Likelihood Ratios in Logistic Regression
Hugo Chardon, Reese Pathak, Nikita Zhivotovskiy
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…
math.ST2026
Ratio Covers of Convex Sets and Optimal Mixture Density Estimation
Spencer Compton, Gábor Lugosi, Jaouad Mourtada +2
We study density estimation in Kullback-Leibler divergence: given an i.i.d. sample from an unknown density , the goal is to construct an estimator such that…
math.ST2025
Consistency and inconsistency in -means clustering
Moïse Blanchard, Adam Quinn Jaffe, Nikita Zhivotovskiy
A celebrated result of Pollard proves asymptotic consistency for -means clustering when the population distribution has finite variance. In this work, we point out that the popu…