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Lecture
Monte Carlo Estimation: Error Analysis
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Stochastic Simulation: Monte Carlo Method
Covers the properties and error estimates of the Monte Carlo method in stochastic simulation.
Estimators and Confidence Intervals
Explores bias, variance, unbiased estimators, and confidence intervals in statistical estimation.
Confidence Intervals: Gaussian Estimation
Explores confidence intervals, Gaussian estimation, Cramér-Rao inequality, and Maximum Likelihood Estimators.
Estimation Methods in Probability and Statistics
Discusses estimation methods in probability and statistics, focusing on maximum likelihood estimation and confidence intervals.
Estimation and Confidence Intervals
Explores bias, variance, and confidence intervals in parameter estimation using examples and distributions.
Estimation Criteria
Covers criteria for estimating parameters, emphasizing the importance of consistency, bias, variance, and efficiency of estimators.
Confidence Intervals: Definition and Estimation
Explains confidence intervals, parameter estimation methods, and the central limit theorem in statistical inference.
Monte Carlo Method: Simulation and Inference
Covers the Monte Carlo method for statistical inferences using simulation tools and sample mean estimators.
Stochastic Simulation: Low-Discrepancy Point Sets
Explores low-discrepancy point sets in stochastic simulation and their construction algorithms.
Estimating Parameters: Confidence Intervals
Explores estimating parameters through confidence intervals in linear regression and statistics.