Confused with basic terms:iid, rv
are iid rvs with and
I need to make sure my understanding of this statement is correct.
If X is a rv, then it is a function defined over a sample space.
i = 1,2,3,....n constitute the number of trials of this rv.
are not random variables, but values which the random variable (a function) assumes.
So here's my confusion.
If is only a value, analogous to the range of a function, say, , what is the actual meaning of
and ? Is it just trying to imply that these values are all drawn from a RV whose parameters are and ?
Are they liberal with the semantics or is my understanding wrong?
Thanks for your time!