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Lecture
Modern Regression: Overdispersion and Model Assessment
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Linear Regression and Logistic Regression
Covers linear and logistic regression for regression and classification tasks, focusing on loss functions and model training.
Modern Regression: Statistical Models and Data Analysis
Introduces regression analysis, covering linear and nonlinear models, Poisson regression, and failure time analysis using various datasets.
Estimation, Shrinkage and Penalization
Covers estimation, shrinkage, and penalization in statistics for data science, emphasizing the importance of balancing bias and variance in model estimation.
Parametric Models
Explores statistical estimation, regression models, and model selection in parametric models.
Linear Regression: Maximum Likelihood Approach
Covers linear regression topics including confidence intervals, variance, and maximum likelihood approach.
Linear Models: Ridge, OLS and LASSO
Covers linear models like Ridge, OLS, and LASSO, explaining singular values and regression analysis.
Model Selection Criteria: AIC, BIC, Cp
Explores model selection criteria like AIC, BIC, and Cp in statistics for data science.
Likelihood Estimation and Least Squares
Introduces simple and multiple normal linear regression, and maximum likelihood estimation with practical examples.
Likelihood Inference
Covers iterative weighted least squares, Poisson regression, mixed models, and likelihood ratio statistic.
Marginal Models: Interpretation and Application
Explores marginal models in modern regression, emphasizing interpretation and application in statistical analysis.