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Multinomial DistributionCovers the multinomial distribution, joint density, marginal distribution, and conditional distribution.
Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Insurance Risk ModelingCovers the modeling of insurance risk, discussing joint distributions and the impact of accidents.
Polymer Theory: End-to-End DistanceExplores the calculation of end-to-end distance in polymer theory, focusing on isotropy, probability distributions, and the Kratky-Porod model.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Multivariable ControlCovers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
Markov Chains: Transition DensitiesCovers Markov processes, transition densities, and distribution conditional on information, discussing classification of states and stationary distributions.