Algebra of random variables

Formal sciences
Statistics
Descriptive statistics
Correlations

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Page 2 of 4

Stochastic Processes: Symmetric Random Walk

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

Probability Review

Introduces subgaussian and subexponential random variables, conditional expectation, and Orlicz norms.

Estimating Deviations

Covers Markov's and Chebyshev's Inequalities for random variables and probability distributions.

Conditional Expectation

Covers conditional expectation, Fubini's theorem, and their applications in probability theory.

Von Neumann Extractor: Extensions

Covers the von Neumann Extractor, its extensions, extraction rules, uniformity proofs, and exchangeability of sequences.

Estimating R: Moments of a Distribution

Explains the importance of moments in measuring distribution properties, such as expectation and variance.

Probabilities and Statistics: Key Theorems and Applications

Discusses key statistical concepts, including sampling dangers, inequalities, and the Central Limit Theorem, with practical examples and applications.

Martingale Convergence Theorem

Explores the proof of the martingale convergence theorem and the conditions for convergence to a random variable.

Transformations of Random Variables

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

Statistical Modelling & Probability Basics

Covers statistical modelling basics, probability concepts, and random variables for data analysis.