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Multivariate normal distribution
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Related lectures (31)
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Elliptical Distributions: Properties and Applications
Covers elliptical distributions, including properties, applications, and risk management implications.
Multivariate Normal Distribution: Correlation and Covariance
Covers correlation, covariance, empirical estimates, eigenvalues, normality testing, and factor models.
Feynman Rules I: Asymptotic Statistic and Instantons
Covers the Feynman Rules, Asymptotic Statistics, Normal Ordering, and Instantons.
Canonical Correlation Analysis: Overview
Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.
Gaussian Vectors: Properties and Distributions
Explains multivariate Gaussian distribution properties and moment generating functions for random vectors.
Estimators and Confidence Intervals
Explores bias, variance, unbiased estimators, and confidence intervals in statistical estimation.
Random Vectors & Distribution Functions
Covers random vectors, joint distribution, conditional density functions, independence, covariance, correlation, and conditional expectation.
Copulas: Dependence Modeling
Covers copulas, Sklar's Theorem, types of copulas, and simulation of copulas for risk management.
Principal Component Analysis: Properties and Applications
Explores Principal Component Analysis theory, properties, applications, and hypothesis testing in multivariate statistics.
Canonical Correlation Analysis
Covers the mathematical development of canonical correlation analysis, including population and sample CCA.