Where this topic leads
Topics that build on Measure-Theoretic Probability
Once you have Measure-Theoretic Probability, these are the topics that cite it as a prerequisite. Pick by tier and the area you want to push into next.
Editor's suggested next (16)
- Concentration Inequalities
- Common Probability Distributions
- Borel-Cantelli Lemmas
- Characteristic Functions
- Cramér-Wold Theorem
- E-Values and Anytime-Valid Inference
- Functional Analysis Core
- Martingale Theory
- Modes of Convergence of Random Variables
- PDE Fundamentals for Machine Learning
- Radon-Nikodym and Conditional Expectation
- Random Matrix Theory Overview
- Stochastic Calculus for ML
- Stochastic Processes for ML
- Total Variation Distance
- Wasserstein Distances
Core flagship topics (8)
- Borel-Cantelli Lemmaslayer 0B · mathematical-infrastructure
- Characteristic Functionslayer 1 · mathematical-infrastructure
- Common Probability Distributionslayer 0A · foundations
- Concentration Inequalitieslayer 1 · concentration-probability
- E-Values and Anytime-Valid Inferencelayer 3 · sequential-inference
- Modes of Convergence of Random Variableslayer 0B · mathematical-infrastructure
- Radon-Nikodym and Conditional Expectationlayer 0B · mathematical-infrastructure
- Total Variation Distancelayer 1 · foundations
Standard topics (6)
- Cramér-Wold Theoremlayer 1 · foundations
- Functional Analysis Corelayer 0B · mathematical-infrastructure
- Martingale Theorylayer 0B · mathematical-infrastructure
- PDE Fundamentals for Machine Learninglayer 1 · mathematical-infrastructure
- Random Matrix Theory Overviewlayer 4 · statistical-foundations
- Stochastic Processes for MLlayer 2 · concentration-probability
Advanced or specialty topics (2)
- Stochastic Calculus for MLlayer 3 · mathematical-infrastructure
- Wasserstein Distanceslayer 4 · modern-generalization