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Lecture
Extreme-Value Theorems
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Extreme Value Theory: GEV and GPD
Covers Extreme Value Theory, focusing on GEV and GPD distributions and the POT Model for threshold exceedances.
Binary Choice Model
Covers the binary choice model, error term assumptions, specific constants, invariances, and distribution properties.
Model Specification: The Error Term
Delves into the binary choice model, error term specification, and Extreme Value distribution properties.
Extreme Value Theory: Limiting Distributions and Applications
Covers Extreme Value Theory, GEV distributions, GPD, and threshold exceedances.
Stability Relationships in Distributions
Explores stability relationships, domains of attraction, and limitations in distributions for statistical modeling and analysis.
Quantitative Risk Management: Copulas and Generative Adversarial Networks
Explores copulas, simulation algorithms, fitting data with rank correlations, and GANs for image generation.
Distributions and Derivatives
Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
Extreme Value Theory: Maximum Distribution
Explores extreme value theory, focusing on maximum distribution and different types of distributions based on shape parameters.
Threshold Exceedances: Generalized Pareto Distribution
Explores threshold exceedances and the Generalized Pareto Distribution for modeling extreme data points above a specified level.
Probability and Statistics
Covers probability distributions, moments, and continuous random variables.