Lectures related to Untitled | EPFL Graph Search

Covers the basics of statistical theory, including probability models, random variables, and sampling distributions.

Explores convergence in distribution of random variables and characteristic functions.

Explores the Collisionless Boltzmann Equation, Jeans theorems, and equilibria of collisionless systems, focusing on connections between barotropic fluids and ergodic stellar systems.

Fluid Dynamics: Equations and State

Explores fluid dynamics concepts like energy argument, momentum balance, and equation of state for perfect fluids.

Probability Distributions: Moments and Transformations

Explores the bijection between distribution functions and moment generating functions.

Probability Distributions: Central Limit Theorem and Applications

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

Discrete Random Variables

Covers properties and transformations of discrete random variables, focusing on PMF and expectation.