Mapping and Colouring: Poisson Processes

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

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Gaussian Process: Covariance and Correlation Functions

Explores Gaussian processes, covariance functions, intrinsic stationarity, and extreme applications in statistics.

Rainfall Models: Deterministic vs Stochastic

Covers deterministic and stochastic rainfall models in water resources engineering, including generation, calibration, and spatially explicit models.

Stochastic Simulation: Markov Processes Generation

Covers the generation of Markov processes and Poisson processes in stochastic simulation.

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

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Covers the properties of Poisson processes, including arrival times and stochastic models for communications.

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Poisson processes

Covers the properties and construction of Poisson processes from i.i.d. Exp(X) random variables, emphasizing the importance of the process rate and jump time distributions.