Andrew RothmanStatistical Learning Theory Part 6: Vapnik–Chervonenkis (VC) DimensionProof of Consistency, Rates, and Generalization Bounds for ML Estimators over Infinite Function Classes leveraging the VC-dimensionNov 7, 20231Nov 7, 20231

Andrew RothmanStatistical Learning Theory Part 5: Shattering CoefficientProof of Consistency, Rates, and Generalization Bounds for ML Estimators over Infinite Function Classes leveraging the Shattering…Nov 3, 2023Nov 3, 2023

Andrew RothmanStatistical Learning Theory Part 4: Finite Function Classes — Consistency, Rates, & BoundsProof of Consistency, Rates, and Generalization Bounds for ML Estimators over Finite Function ClassesOct 31, 2023Oct 31, 2023

Andrew RothmanStatistical Learning Theory Part 3: Consistency of Machine Learning EstimatorsConditions for Convergence and Consistency of Learned ML EstimatorsOct 28, 2023Oct 28, 2023

Andrew RothmanStatistical Learning Theory Part 2: Optimality of the Bayes ClassifierMotivation and Proof of Optimality of the Bayes ClassifierOct 24, 20231Oct 24, 20231

Andrew RothmanStatistical Learning Theory Part 1: Hoeffding’s Inequality Derivation & SimulationDerivation of Hoeffding’s Inequality from first principlesOct 20, 2023Oct 20, 2023

Andrew RothmaninTowards Data ScienceCausal Inference in Data Science: Conditional Independence via Propensity Score AdjustmentSpecification and Proofs of Propensity Scores, with Accompanied Computational SimulationOct 8, 2021Oct 8, 2021

Andrew RothmaninTowards Data ScienceParametric Bayesian Inference: Implementation of Numerical Sampling Techniques with ProofsAcceptance/Rejection Sampling & MCMC Metropolis-Hastings Sampling with full Computational SimulationSep 27, 20212Sep 27, 20212

Andrew RothmaninTowards Data ScienceMathematical Statistics — A Rigorous Derivation and Analysis of the Wald Test, Score Test, and…Derivations of the Classic Trinity of Inferential Tests with full Computational SimulationSep 25, 2021Sep 25, 2021

Andrew RothmaninTowards Data ScienceMathematical Statistics: Mathematical Justifications for Maximum Likelihood EstimationSpecification and Derivations of Connections between Total Variation, KL Divergence, and MLESep 23, 2021Sep 23, 2021