MAT330 LECTURE 26 (5/6/2020): CENTRAL LIMIT THEOREM AND ITS FRIENDS





Announcements: The last homework of the semester, HW11, is now available online and due next Monday. The Final Exam will be conducted remotely just like the Midterm Exam. It will be made available to you on Tuesday 5/19 at 12.00pm (noon) EDT and will be due the next day, Wednesday 5/20 at 11.59pm (midnight) EDT. This choice is the closest possible to the original scheduled exam times by the Office of the Registrar. More details will come by email.


• Markov inequality (theory): Download file or watch below


• Chebyshev inequality (theory and example): Download file or watch below


• Weak Law of Large Numbers (theory): Download file or watch below


• Strong Law of Large Numbers (theory): Download file or watch below


• Central Limit Theorem (introduction): Download file or watch below


• Proof of the Central Limit Theorem (part I): Download file or watch below


• Proof of the Central Limit Theorem (part II): Download file or watch below




• Lecture Notes (static file from above videos): PDF file


• External link 1: Markov inequality and examples (video): Watch on YouTube


• External link 2: Chebyshev inequality and examples (video): Watch on YouTube


• External link 3: Weak law of large numbers (video): Watch on YouTube


• External link 4: Central Limit Theorem, take 1 (video): Watch on YouTube


• External link 5: Central Limit Theorem, take 2 (video): Watch on YouTube


• External link 5: Central Limit Theorem, take 2 (video): Watch on YouTube


• External link 6: Central Limit Theorem, take 3 (video): Watch on YouTube





Last updated: May 6, 2020, 4:00pm EDT