Lectures related to Estimating Extremal Processes

Simulation & Optimization: Poisson Process & Random Numbers

Explores simulation pitfalls, random numbers, discrete & continuous distributions, and Monte-Carlo integration.

Introduces discrete event simulation through the example of Rico at Satellite, emphasizing the importance of statistical analysis.

Quantitative Risk Management: Copulas and Generative Adversarial Networks

Explores copulas, simulation algorithms, fitting data with rank correlations, and GANs for image generation.

Weather Events and Climate Change: Understanding the Impact

Explores the impact of weather events on climate change, emphasizing human influence and statistical analysis.

Probability and Statistics: Fundamental Theorems

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

Monte Carlo Methods: Thermal Radiation Applications

Discusses the application of Monte Carlo methods in thermal radiation analysis, focusing on probability functions and numerical integration techniques.

Introduction to Continuous Random Variables: Probability Distributions

Introduces continuous random variables and their probability distributions, emphasizing their applications in statistics and data science.

Extreme Statistics: Threshold Models Log in to Mediaspace to watch this video

Covers the theory and applications of extreme statistics, focusing on threshold models for analyzing extremes of time series.

Extreme Value Analysis: Applications and Consequences Log in to Mediaspace to watch this video

Explores extremal limit theorems and statistical analysis for analyzing extreme events like Venezuela rainfall and Venice data.

Statistics of Multivariate Extremes: Inference and Models Log in to Mediaspace to watch this video

Explores theory and applications of multivariate extremes, emphasizing fitting marginal and dependence models together for accurate estimation.

Multivariate Extremes: Applications and Dependence Log in to Mediaspace to watch this video

Explores multivariate extremes, including overwhelming sea defenses and heat waves.

Statistics of Multivariate Extremes Log in to Mediaspace to watch this video

Covers extremal limit theorems, basic statistical analysis, and applications to multivariate extremes, emphasizing the importance of understanding the distribution of maxima.

Asymptotic Independence Models Log in to Mediaspace to watch this video

Explores extremal limit theorems, statistical analysis, and asymptotic independence models for rare events.

Probability Distributions in Environmental Studies Log in to Mediaspace to watch this video

Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

Statistical Analysis of Multivariate Extremes Log in to Mediaspace to watch this video

Covers the statistical analysis of multivariate extremes, including extremal limit theorems and models for extremes of time series.

Point Processes: Extremal Limit Theorems Log in to Mediaspace to watch this video

Explores the theory of point processes and their applications to extremes, emphasizing the Laplace functional and Kallenberg's theorem.

Extreme Value Theory: Applications to Time Series Log in to Mediaspace to watch this video

Explores Extreme Value Theory applications to time series, discussing extremogram, moving maxima, and rare event threshold sequences.

Extreme Value Theory: Maxima and Exceedances Log in to Mediaspace to watch this video

Delves into Extreme Value Theory, discussing maxima, exceedances, and their statistical implications.

Precipitation and Hydrologic Design Log in to Mediaspace to watch this video

Covers methods to define the design storm, empirical distribution of rainfall maxima, Gumbel distribution, and intensity-duration-frequency relationships.

Poisson Process: Density Theory and Applications Log in to Mediaspace to watch this video

Explores Poisson processes, joint density, independence of events, and likelihood estimation.