Expectation: Basic Properties

Related lectures (31)

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Covers probability, random variables, expectation, GLMs, hypothesis testing, and Bayesian statistics with practical examples.

Covers the pdf of the sum of continuous random variables, convolution, and transformations like Y=aX.

Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

Covers independence between random variables and product measures in probability theory.

Explores the properties and definition of conditional expectation in random variables.

Discusses a proposition on conditional expectation for two random variables, emphasizing independence and measurability.

Covers the calculation of expectation and variance for different types of random variables, including discrete and continuous ones.

Covers the properties of the symmetric random walk in stochastic processes.

Covers random variables, probability functions, expectations, variances, and joint distributions.

Covers the modes of convergence of random variables and the Central Limit Theorem, discussing implications and approximations.