Estimating Extremal Processes

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Covers the application of extreme value theory to point processes and the estimation of extreme events from equally-spaced time series.

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Statistical Analysis: Hypothesis Testing and Distribution Models

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Extreme Value Theory: Return Level Estimation

Explores extremal limit theorems, return level estimation, clustering consequences, and modelling strategies for extreme value theory.

Poisson Processes and Angular Density

Explores Poisson processes, Pickands' function, and multivariate angular densities.

Probability and Statistics: Fundamental Theorems

Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.

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Exchangeability and Network Statistics

Explores exchangeability, statistical summaries for networks, invariance issues, and the Poisson Limit theorem in network statistics.

Statistics: Exploratory Data Analysis

Introduces statistics basics, including data analysis and probability theory, emphasizing central tendency, dispersion, and distribution shapes.