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Minimum-variance unbiased estimator
Formal sciences
Statistics
Statistical inference
Mathematical statistics
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Related lectures (32)
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Risk and Return Measures
Covers risk and return measures, unbiasedness, and consistency of estimators.
Spiked Matrix Estimation
Covers the AMP algorithm for spiked matrix estimation and its application to low-rank matrix factorization and GLM models.
Probability and Statistics II: Estimation and Hypothesis Testing
Covers the Central Limit Theorem, confidence intervals, hypothesis testing, and qualities of estimators.
Random Variables and Expected Value
Introduces random variables, probability distributions, and expected values through practical examples.
Intro to Quantum Sensing: Parameter Estimation and Fisher Information
Introduces Fisher Information for parameter estimation based on collected data.
Stochastic Simulation: Low-Discrepancy Point Sets
Explores low-discrepancy point sets in stochastic simulation and their construction algorithms.
Bayes Estimator: Definition and Application
Introduces the Bayes estimator, explaining its definition, application in quadratic cost scenarios, and importance in probabilistic reasoning.
Nonparametric and Bayesian Statistics
Covers nonparametric statistics, kernel density estimation, Bayesian principles, and posterior distribution summarization.
Statistical Estimation: Properties and Distributions
Explores statistical parameter estimation, sample accuracy, and Bernoulli variables' properties.
Estimation Methods in Probability and Statistics
Discusses estimation methods in probability and statistics, focusing on maximum likelihood estimation and confidence intervals.