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Sufficient statistic
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Related lectures (32)
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Estimation: Measures of Performance
Explores estimation measures of performance, including the Cramér-Rao bound and maximum likelihood estimation.
Eliminating Nuisance Parameters: Statistical Inference
Covers the elimination of nuisance parameters in statistical inference using Lemmas 14 and 15.
Statistical Estimation Methods
Covers statistical estimation methods, including maximum likelihood and Bayesian estimation.
Distribution Estimation
Covers the estimation of distributions using samples and probability models.
Probability Models: Fundamentals
Introduces the basics of probability models, covering random variables, distributions, and statistical estimation.
Gaussian Processes: Designing Receivers
Covers the theory behind Gaussian processes and the design of receivers using MAP calculations.
Kalman Filter: Minimal Variance Estimator
Explores the Kalman filter as a minimal variance estimator and its application in estimating position and velocity.
Statistical Models: Sampling and Hypothesis Testing
Explores statistical models, sampling distributions, and hypothesis testing using real-world examples.
Generalised Linear Models: Regression with Exponential Family Responses
Covers regression with exponential family responses using Generalised Linear Models.
Sampling Distributions: Estimators and Variance
Covers estimation of parameters, MSE, Fisher information, and the Rao-Blackwell Theorem.