On their support of definition, yes; same domain, same codomain, and same mapping between them. But of course two variables can have the distribution but be measuring completely different things:)
No. The random variables must be independent and also have the same distribution of probability. If they happen to have the same value and the likelihood that both got the same value are equal at a particular time, that doesn't necessarily imply it will always be that way.
Good question. If two or more events are independent, the expected value, variance (and other moments) of their linear combination is very very easy to calculate. Sometimes the entire distribution of the linear combination if they are identically distributed is also very nice: for example, the sum of two ind exponential rv.s is gamma, and the sum of two ind normal rv.s is normal.
It was really wonderful lecture which describe concepts very clearly and openly. Thanks sir..
Thank you for your kind words =)
I FINALLY GET WHAT THESE IID VARIABLES MEAN!!!!! THANK YOU!!!!
You are welcome =)
Thank you
You are welcome :)
Thank you! I finally get it
That's great 😊 Glad it helped~
Thank youuuuuu I've finally understood what they mean and my exam is on 16th of February wish me luck
I hope your exam goes well. Good luck!
great video
Thank you =)
perfect. thank you
Thank you for your kind words!
Precise..! Helped me reallyy
I'm glad it helped. If you need anything, feel free to reach out to us!
at around 6:45-6:50 or so, does it mean that the p.m.f.'s are equal for all pairings of (x,y)?
On their support of definition, yes; same domain, same codomain, and same mapping between them. But of course two variables can have the distribution but be measuring completely different things:)
If two random variables have different random values but they have same probability then both random variables are iid ??
No. The random variables must be independent and also have the same distribution of probability. If they happen to have the same value and the likelihood that both got the same value are equal at a particular time, that doesn't necessarily imply it will always be that way.
What does the fact that 2 variables are iid imply ?
Good question. If two or more events are independent, the expected value, variance (and other moments) of their linear combination is very very easy to calculate. Sometimes the entire distribution of the linear combination if they are identically distributed is also very nice: for example, the sum of two ind exponential rv.s is gamma, and the sum of two ind normal rv.s is normal.
RIP ears during intro
Yea, I didn't keep that intro for long.
finally got identically distributed :p