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Lecture
Nuclear Power Safety Concerns
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Probabilistic Models for Linear Regression
Covers the probabilistic model for linear regression and its applications in nuclear magnetic resonance and X-ray imaging.
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.
Bayesian Estimation: Unsupervised Learning & MCMC
Explores Bayesian estimation for unsupervised learning and MCMC, using a Spin Glass Card game example.
Testing: t-tests
Covers t-tests, p-values calculation, and comparison of coefficients.
Maximum Likelihood Estimation: Properties and Consistency
Explores Maximum Likelihood Estimation properties, consistency, and applications in statistical inference.
Confidence Intervals: Definition and Estimation
Explains confidence intervals, parameter estimation methods, and the central limit theorem in statistical inference.
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.
Gaussian Processes: Designing Receivers
Covers the theory behind Gaussian processes and the design of receivers using MAP calculations.
Statistical Inference: Weighted Mean and Radioactive Decay
Introduces weighted mean calculation and radioactive decay concept with probability estimation.