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Lecture
Uncertainty and Significant Figures
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Confidence Intervals: Gaussian Estimation
Explores confidence intervals, Gaussian estimation, Cramér-Rao inequality, and Maximum Likelihood Estimators.
Interval Estimation
Covers the construction of confidence intervals for a normal distribution with unknown mean and variance.
Confidence Intervals: Student, Asymptotic Wald
Covers confidence intervals for Gaussian means, Student distribution, and Wald confidence intervals for maximum likelihood estimators.
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.
Estimating Parameters: Confidence Intervals
Explores estimating parameters through confidence intervals in linear regression and statistics.
Estimation and Confidence Intervals
Explores bias, variance, and confidence intervals in parameter estimation using examples and distributions.
Confidence Intervals: Estimation and Interpretation
Explores confidence intervals in statistics, covering construction, interpretation, and approximation methods.
Estimators and Confidence Intervals
Explores bias, variance, unbiased estimators, and confidence intervals in statistical estimation.
Statistical Inference: Approximate Critical Values and Confidence Intervals
Covers the construction of confidence intervals and approximate critical values in statistical inference.
Confidence Intervals: Margins, Coverage, Pivots
Explains margins of error, coverage, and pivots in constructing confidence intervals for scalar parameters.