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Lecture
Spherical & Elliptical Distributions
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Elliptical Distributions: Properties and Applications
Covers elliptical distributions, including properties, applications, and risk management implications.
Quantitative Risk Management: Distributions and Techniques
Covers distributions and techniques in Quantitative Risk Management for financial modeling.
Multivariate Distributions: Spherical and Elliptical
Explores spherical and elliptical distributions, normal variance mixtures, factor models, and principal component analysis.
Multivariate Statistics: Conditional Distributions
Covers conditional distributions and correlations in multivariate statistics, including partial variance and covariance, with applications to non-normal distributions.
Multivariate Statistics: Normal Distribution
Introduces multivariate statistics, covering normal distribution properties and characteristic functions.
Dependence Concepts and Copulas
Explores dependence concepts, copulas, correlation fallacies, and rank correlations in statistics.
Multivariate Statistics: Normal Distribution
Covers the multivariate normal distribution, properties, and sampling methods.
Copulas: Properties and Applications
Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.
Continuous Random Variables
Explores continuous random variables, density functions, joint variables, independence, and conditional densities.
Multivariate Normal Distribution: Correlation and Covariance
Covers correlation, covariance, empirical estimates, eigenvalues, normality testing, and factor models.