Signals & Systems I: Uncertainty Relations and Gabor Functions

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Signals & Systems I: Uncertainty Relations and Gaussian Impulse

Explores uncertainty relations, Gaussian impulse, pseudo-probability density, and Gabor functions in signals and systems.

Continuous Random Variables

Explores continuous random variables, density functions, joint variables, independence, and conditional densities.

Common Distributions: Moment Generating Functions

Explores common probability distributions, special distributions, and entropy concepts.

Basics of Risk Analysis and Management

Introduces the basics of risk analysis and management in civil engineering, covering distributions, statistical reminders, and mathematical interpretation techniques.

Introduction to Continuous Random Variables: Probability Distributions

Introduces continuous random variables and their probability distributions, emphasizing their applications in statistics and data science.

Probability Distributions: Central Limit Theorem and Applications

Discusses probability distributions and the Central Limit Theorem, emphasizing their importance in data science and statistical analysis.

Continuous Distributions: Testing and Estimation

Explores testing and estimating continuous distributions through interval partitioning and expected number calculations.

Estimators and Confidence Intervals

Explores bias, variance, unbiased estimators, and confidence intervals in statistical estimation.

Continuous Random Variables

Covers continuous random variables, probability density functions, and distributions, with practical examples.

Normal Distribution: Properties and Calculations

Covers the normal distribution, including its properties and calculations.