Lecture

Probability and Statistics: Fundamental Theorems

Description

This lecture covers fundamental theorems in probability and statistics, including the law of large numbers and the central limit theorem. It explains how these theorems apply to independent and identically distributed random variables, providing insights into the approximation by the normal distribution. The lecture also delves into joint probability laws, marginal distributions, and the properties of joint mass functions. Examples and exercises are used to illustrate the concepts discussed.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_gtteiwek

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Ontological neighbourhood

Statistics

Statistical inference: Mathematical statistics

Mathematics

Probability theory: Topics in probability theory

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