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Lecture
Modern Regression: Maximum Likelihood Estimation
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Linear Regression: Statistical Inference and Regularization
Covers the probabilistic model for linear regression and the importance of regularization techniques.
Logistic Regression: Statistical Inference and Machine Learning
Covers logistic regression, likelihood function, Newton's method, and classification error estimation.
Statistical Inference: Linear Models
Explores statistical inference for linear models, covering model fitting, parameter estimation, and variance decomposition.
Generalized Linear Models: A Brief Review
Provides an overview of Generalized Linear Models, focusing on logistic and Poisson regression models, and their implementation in R.
Estimation Methods in Probability and Statistics
Discusses estimation methods in probability and statistics, focusing on maximum likelihood estimation and confidence intervals.
Logistic Regression: Modeling Binary Response Variables
Explores logistic regression for binary response variables, covering topics such as odds ratio interpretation and model fitting.
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Explores linear regression estimation, linearity assumptions, and statistical tests in the context of model comparison.
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Maximum Likelihood: Inference and Model Comparison
Explores maximum likelihood inference, model selection, and comparing models using likelihood ratios.
Statistical Theory: Inference and Optimality
Explores constructing confidence regions, inverting hypothesis tests, and the pivotal method, emphasizing the importance of likelihood methods in statistical inference.