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Lecture
Nuclear Power Safety Concerns
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Estimation and Confidence Intervals
Explores parameter estimation, standard errors, and confidence intervals using the central limit theorem and practical examples.
Parameter Estimation
Introduces statistical inference concepts, focusing on parameter estimation, unbiased estimators, and mean estimation using independent random variables.
Statistical Inference: Linear Models
Explores statistical inference for linear models, covering model fitting, parameter estimation, and variance decomposition.
Maximum Likelihood Estimation
Covers Maximum Likelihood Estimation in statistical inference, discussing MLE properties, examples, and uniqueness in exponential families.
Regular Exponential Family Models
Explores regular exponential family models, unifying distributions like Poisson, binomial, and normal under a common framework.
Interval Estimation
Covers the construction of confidence intervals for a normal distribution with unknown mean and variance.
Maximum Likelihood Estimation: Multivariate Statistics
Explores maximum likelihood estimation and multivariate hypothesis testing, including challenges and strategies for testing multiple hypotheses.
Maximum Likelihood Estimation: Theory and Applications
Explores likelihood in probability, maximum likelihood estimation, and its applications in statistical inference.
Optimality in Decision Theory: Unbiased Estimation
Explores optimality in decision theory and unbiased estimation, emphasizing sufficiency, completeness, and lower bounds for risk.
Exponential Family
Covers the properties of the exponential family and the estimation of parameters.