Establishes sub-Gaussian concentration, all-moment convergence, and entropic normality for the normalized MLE under regularity conditions plus assumptions on the score.
An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions
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Sub-Gaussian Concentration and Entropic Normality of the Maximum Likelihood Estimator
Establishes sub-Gaussian concentration, all-moment convergence, and entropic normality for the normalized MLE under regularity conditions plus assumptions on the score.