Prerequisite chain
Prerequisites for Generalized Additive Models
Topics you need before working through Generalized Additive Models. Direct prerequisites are listed first; transitive prerequisites (the chain reachable through them) follow.
Direct prerequisites (2)
- Linear Regressionlayer 1, tier 1
- MARS (Multivariate Adaptive Regression Splines)layer 2, tier 3
Reachable through the chain (35)
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.
- Matrix Operations and Propertieslayer 0A, tier 1
- Sets, Functions, and Relationslayer 0A, tier 1
- Basic Logic and Proof Techniqueslayer 0A, tier 2
- Linear Independencelayer 0A, tier 1
- Vectors, Matrices, and Linear Mapslayer 0A, tier 1
- Maximum Likelihood Estimation: Theory, Information Identity, and Asymptotic Efficiencylayer 0B, 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
- Kolmogorov Probability Axiomslayer 0A, tier 1
- Random Variableslayer 0A, tier 1
- Zermelo-Fraenkel Set Theorylayer 0A, tier 2
- Differentiation in Rⁿlayer 0A, tier 1
- Continuity in Rⁿlayer 0A, tier 1
- Metric Spaces, Convergence, and Completenesslayer 0A, tier 1
- Central Limit Theoremlayer 0B, tier 1
- Law of Large Numberslayer 0B, tier 1
- Expectation, Variance, Covariance, and Momentslayer 0A, tier 1
- 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
- Characteristic Functionslayer 1, tier 1
- Moment Generating Functionslayer 0A, tier 2
- KL Divergencelayer 1, tier 1
- Information Theory Foundationslayer 0B, tier 2
- Distance Metrics Comparedlayer 1, tier 2
- Non-Euclidean and Hyperbolic Geometrylayer 1, tier 2
- Total Variation Distancelayer 1, tier 1
- Method of Momentslayer 0B, tier 2
- Radon-Nikodym and Conditional Expectationlayer 0B, tier 1
- The Elements of Statistical Learning (Hastie, Tibshirani, Friedman)layer 0B, tier 1
- Naive Bayeslayer 1, tier 2