Mathematical Statistics (2024): Lecture 25

[@AbhijitGuptamjj]

Thanks for another fantastic lecture, Professor! I was wondering if, having proved the asymptotic properties of MLE, particularly the asymptotic distribution, we could use that to devise an alternative proof for asymptotic unbiasedness?

[@AProbabilitySpace]

Yes!

[@thatsfantastic313]

Another beautiful lecture!. And, that problem carries a massive amount of elegance in it. Surprisingly, I was able to solve that problem on my own :-D but I don't know why I solved it like, P(y = 0) = int(0 to c) f(x) dx, the other way. Maybe, because I thought that I need, this much percentage of area(i.e. 0's) below c in expo(rate=lambda). But that was quite a fun! as always.

[@amorphous8826]

👍

[@ritardstrength5169]

Is this a one- or two-semester course?

[@AProbabilitySpace]

It is a one-semester course. I expect that it will end at 38-40 videos. 🙂

[@ritardstrength5169]

@@AProbabilitySpaceI’m noticing that some MS programs make Math Stats a 2-semester course. Does that mean they are covering more material, or covering the same stuff at a slower pace?

[@AProbabilitySpace]

@@ritardstrength5169 I've seen it mean both. If you have a particular university/program in mind, let me know and I'll find out!

[@ritardstrength5169]

@@AProbabilitySpacethank you for offering, that’s very kind. Oklahoma State.

[@boldapples]

Sometimes math stats 1 is a probability course and math stats 2 is a statistical theory course