# Introduction to Estimation, Detection and Learning

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## Course description

Content

Statistical modeling and basic distributions. Parameter estimation. Hypothesis testing – detection theory. Basics of learning theory.

Learning Outcomes

Develop understanding and skills for using the tools of probability, signal and systems and learning theory to estimate signals and parameters of interest, to detect events from data, and to learn from data. Develop understanding of multivariate analysis as well. Develop understanding how to identify the optimal estimator/detector or at least bound the performance of any estimator/detector. Develop understanding and skills for using detection approaches (statistical hypotheses testing). Understanding radar detection. Practicing basic concepts such as: sufficient statistics, bias and mean squared error, maximum likelihood, Bayesian estimation and learning.

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