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Related lectures (32)
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Estimation Methods: Bias-Variance Tradeoff
Explores the MSE quality measure for estimators and the bias-variance tradeoff.
Probabilistic Models for Linear Regression
Covers the probabilistic model for linear regression and its applications in nuclear magnetic resonance and X-ray imaging.
Estimation and Confidence Intervals
Explores bias, variance, and confidence intervals in parameter estimation using examples and distributions.
Hypothesis Testing: Wilks' Theorem
Explores hypothesis testing using Wilks' Theorem, likelihood ratio statistics, p-values, interval estimation, and confidence regions.
Hypothesis Testing: A Different Perspective
Delves into a different perspective on hypothesis testing, emphasizing the p-value and significance levels.
Linear Regression: Statistical Inference Perspective
Explores linear regression from a statistical inference perspective, covering probabilistic models, ground truth, labels, and maximum likelihood estimators.
Estimation and Analysis of Deviance
Covers estimation of unknown parameters, analyzing model fit, bird prey response, and model diagnostics.
Inference and Mixed Models
Covers point estimation, confidence intervals, and hypothesis testing for smooth functions using mixed models and spline smoothing.
Sparse Regression
Covers the concept of sparse regression and the use of Gaussian additive noise in the context of MAP estimator and regularization.
Maximum Likelihood Estimation
Delves into maximum likelihood estimators, their properties, and asymptotic behavior, emphasizing consistency and asymptotic normality.