6.041/6.431 Probabilistic Systems Analysis and Applied Probability (Fall 2010, MIT OCW): Lecture 01

6.041/6.431 Probabilistic Systems Analysis and Applied Probability

6.041/6.431 Probabilistic Systems Analysis and Applied Probability (Fall 2010, MIT OCW). Instructor: Professor John Tsitsiklis. Welcome to 6.041/6.431, a subject on the modeling and analysis of random phenomena and processes, including the basics of statistical inference. Nowadays, there is broad consensus that the ability to think probabilistically is a fundamental component of scientific literacy. The aim of this course is to introduce the relevant models, skills, and tools, by combining mathematics with conceptual understanding and intuition. (from ocw.mit.edu)

Lecture 01 - Probability Models and Axioms

In this lecture, the professor discusses probability as a mathematical framework, probabilistic models, axioms of probability, and gave some simple examples.

Go to the Course Home or watch other lectures:

Lecture 01 - Probability Models and Axioms

Lecture 02 - Conditioning and Bayes' Rule

Lecture 03 - Independence

Lecture 04 - Counting

Lecture 05 - Discrete Random Variables; Probability Mass Function; Expectations

Lecture 06 - Discrete Random Variable Examples; Joint PMFs

Lecture 07 - Multiple Discrete Random Variables; Expectations, Conditioning, Independence

Lecture 08 - Continuous Random Variables

Lecture 09 - Multiple Continuous Random Variables

Lecture 10 - Continuous Bayes' Rule; Derived Distributions

Lecture 11 - Derived Distributions; Convolution; Covariance and Correlation