Prerequisite chain

Prerequisites for High-Dimensional Probability (Vershynin)

Topics you need before working through High-Dimensional Probability (Vershynin). Direct prerequisites are listed first; transitive prerequisites (the chain reachable through them) follow.

Direct prerequisites (1)

Cramér-Wold Theoremlayer 1, tier 2

Reachable through the chain (20)

These topics are not directly cited as prerequisites but are reached transitively by following the chain upward. Working through the direct prerequisites pulls these in.

Central Limit Theoremlayer 0B, tier 1
Law of Large Numberslayer 0B, tier 1
Random Variableslayer 0A, tier 1
Kolmogorov Probability Axiomslayer 0A, tier 1
Sets, Functions, and Relationslayer 0A, tier 1
Basic Logic and Proof Techniqueslayer 0A, tier 2
Expectation, Variance, Covariance, and Momentslayer 0A, tier 1
Common Probability Distributionslayer 0A, tier 1
Exponential Function Propertieslayer 0A, tier 1
Integration and Change of Variableslayer 0A, tier 2
Measure-Theoretic Probabilitylayer 0B, tier 1
Cardinality and Countabilitylayer 0A, tier 2
Zermelo-Fraenkel Set Theorylayer 0A, tier 2
Joint, Marginal, and Conditional Distributionslayer 0A, tier 1
Triangular Distributionlayer 0A, tier 2
Borel-Cantelli Lemmaslayer 0B, tier 1
Modes of Convergence of Random Variableslayer 0B, tier 1
Metric Spaces, Convergence, and Completenesslayer 0A, tier 1
Characteristic Functionslayer 1, tier 1
Moment Generating Functionslayer 0A, tier 2