L18.6 Convergence in Probability

MIT RES.6-012 Introduction to Probability, Spring 2018
Instructor: John Tsitsiklis

License: Creative Commons BY-NC-SA

[anthonywong]

I am really amazed at the overall quality of teaching at MIT. This is exactly what I have been looking for that is lacking in the teaching of most statistics classes from other universities.

[vaisuliafu]

This is why MIT students are so great. Not only are they gifted but the quality of the instruction is outstanding.

[fisher]

Thank you, Professor Tsitsiklis. My professor can't explain convergence "in probability" in plain English; he only repeats math notations again and again. Your video is very helpful to me. I appreciate your contribution. Thank you.

[redmotherfive]

This is the BEST explanation of this I have ever heard. Thank you. 🙌🏻

[modeocheng]

F this class is a life-saver. Haven't been to lectures for a while. This is a better substitute for in-person class

[fupopanda]

What an amazing explanation. Once I paused the first slide (for the bottom portion) and expanded out those expressions using simple examples, it really made a lot of sense.

[michaelcheung]

I have to say this is the best video on the convergence of random variables in probability

[santiagolicea]

thank you very much, it took a while to find such a great tutorial where the intuition of convergence is explained rather than just the mathematical formulation... thanks!!

[cathylin]

This course is so good! Thank you very very much for doing this for students!

[ireshathilini]

I watch many vedios but any of that does not teach this clearly. Thank you for this vedio . You teach very clearly

[roshinroy]

This is the BEST explanation of this concept!!! Thank You!!

[VigyanBharat]

Clear and lucid, wonderful explanation 😊

[SphereofTime]

4:17 Ordinary convergence vs convergence in probability

[hugoalfonso]

Congratulations, excelent explication !!!

[himanshuprasad]

Thankyou so much. really helped me a lot. ❤❤

[hamdytawfeek]

Thank you, very intuitive and perfect explanation.

[saranyan]

Thankyou soo much for this wonderful explaination... Will you please put a video about the difference between convergent, statistical convergent, lamda statistical convergent and idea statistical convergent....

[nickbe]

Why in 5:20 you draw a gaussian shape distribution?

[Democraps_are_narrow-minded]

Do u explain convergence almost surely?

[itsbean]

why a sequence of random variables are able to subtract like this : [1, 2, 3, 4, 5, 6] - a how can you say P(|[1, 2, 3, 4, 5, 6] - a| >= e) = 0