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Introduction to Inference
Covers the basics of probability theory, random variables, joint probability, and inference.
Probability and Statistics: Independence and Conditional Probability
Explores independence and conditional probability in probability and statistics, with examples illustrating the concepts and practical applications.
Statistical Inference: Weighted Mean and Radioactive Decay
Introduces weighted mean calculation and radioactive decay concept with probability estimation.
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Steady-state Kalman Predictor: Examples and Comparison
Discusses the steady-state Kalman predictor, provides examples, and compares Luenberger and Kalman filtering.
Gaussian Processes: Designing Receivers
Covers the theory behind Gaussian processes and the design of receivers using MAP calculations.
Testing: t-tests
Covers t-tests, p-values calculation, and comparison of coefficients.
Statistical Inference: Confidence Intervals
Covers the construction of approximate confidence intervals using the central limit theorem for large sample sizes.
Interval Estimation
Covers the construction of confidence intervals for a normal distribution with unknown mean and variance.
Probability and Statistics: Basics and Applications
Covers fundamental concepts of probability and statistics, focusing on data analysis, graphical representation, and practical applications.