6.041/6.431 Probabilistic Systems Analysis and Applied Probability (Fall 2010, MIT OCW). Instructor: Professor John Tsitsiklis.
0
1
September 21, 2023
English
English [CC]
Description
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)
Course Curriculum
- Lecture 01 – Probability Models and Axioms Unlimited
- Lecture 02 – Conditioning and Bayes’ Rule Unlimited
- Lecture 03 – Independence Unlimited
- Lecture 04 – Counting Unlimited
- Lecture 05 – Discrete Random Variables; Probability Mass Function; Expectations Unlimited
- Lecture 06 – Discrete Random Variable Examples; Joint PMFs Unlimited
- Lecture 07 – Multiple Discrete Random Variables; Expectations, Conditioning, Independence Unlimited
- Lecture 08 – Continuous Random Variables Unlimited
- Lecture 09 – Multiple Continuous Random Variables Unlimited
- Lecture 10 – Continuous Bayes’ Rule; Derived Distributions Unlimited
- Lecture 11 – Derived Distributions; Convolution; Covariance and Correlation Unlimited
- Lecture 12 – Iterated Expectations; Sum of a Random Number of Random Variables Unlimited
- Lecture 13 – Bernoulli Process Unlimited
- Lecture 14 – Poisson Process I Unlimited
- Lecture 15 – Poisson Process II Unlimited
- Lecture 16 – Markov Chains I Unlimited
- Lecture 17 – Markov Chains II Unlimited
- Lecture 18 – Markov Chains III Unlimited
- Lecture 19 – Weak Law of Large Numbers Unlimited
- Lecture 20 – Central Limit Theorem Unlimited
- Lecture 21 – Bayesian Statistical Inference I Unlimited
- Lecture 22 – Bayesian Statistical Inference II Unlimited
- Lecture 23 – Classical Statistical Inference I Unlimited
- Lecture 24 – Classical Inference II Unlimited
- Lecture 25 – Classical Inference III; Course Overview Unlimited
About the instructor
5
5
Instructor Rating
6
Reviews
4637
Courses
24183
Students
OpenCoursa
Accessible Education for Everyone
OpenCoursa is a free online learning platform dedicated to providing high-quality education to learners worldwide. With courses across a wide range of subjects, we empower individuals to gain new skills and knowledge at no cost. Our mission is to make education accessible to everyone, offering flexible learning opportunities for personal and professional growth.
We are an educational and skills marketplace to accommodate the needs of skills enhancement and free equal education across the globe to the millions. We are bringing courses and trainings every single day for our users. We welcome everyone woth all ages, all background to learn. There is so much available to learn and deliver to the people.
FREE
Hours of videos
694 years, 4 months
Units & Quizzes
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
- For teams of 2 or more users
- 27,000+ fresh & in-demand courses
- Learning Engagement tools
- SSO and LMS Integrations
