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Probability Theory: Random Variables and Distributions
Introduces probability theory, random variables, and distributions, with a focus on their applications in atomic diffusion.
Quantitative Risk Management: Copulas and Generative Adversarial Networks
Explores copulas, simulation algorithms, fitting data with rank correlations, and GANs for image generation.
Describing Data: Statistics and Hypothesis Testing
Covers descriptive statistics, hypothesis testing, and correlation analysis with various probability distributions and robust statistics.
Mathematical Analysis: Factorial Generalization and Absorption
Covers the generalization of factorials, mathematical behavior, and absorption phenomena.
Extreme Value Theory: Limiting Distributions and Applications
Covers Extreme Value Theory, GEV distributions, GPD, and threshold exceedances.
Probability Distributions in Environmental Studies
Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.
Parametric Models: Logistic and Dirichlet Densities
Explores logistic and Dirichlet densities, parametric models, and asymmetric alternatives.
Compression
Covers the concept of compression and constructing prefix-free codes based on given information.
Fundamental Solutions of Laplace Equation
Explores fundamental solutions, Green's formula, distributions, and convergence in Laplace equation.
Stability Relationships in Distributions
Explores stability relationships, domains of attraction, and limitations in distributions for statistical modeling and analysis.