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Apr
25
awarded  Notable Question
Mar
16
revised Expectation of a function of $Beta$ random variables
added 14 characters in body
Mar
14
revised Expectation of a function of $Beta$ random variables
edited tags
Mar
14
asked Expectation of a function of $Beta$ random variables
Feb
23
accepted Two equations with $2n$ variables
Feb
22
comment Two equations with $2n$ variables
@zhoraster, see my answer.
Feb
22
answered Two equations with $2n$ variables
Feb
21
comment Two equations with $2n$ variables
No, no additional constraints. And $n$ can be any positive integer.
Feb
21
comment Two equations with $2n$ variables
@zhoraster, not necessarily. For instance, for $n=1$ we obviously get $p_1=q_1$.
Feb
21
asked Two equations with $2n$ variables
Feb
21
revised $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
added 125 characters in body
Feb
20
comment $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
OK, so instead of $E(W)$ we will have $Sum(E[W_i])/n$, right? And the condition for $S=0$ would be $Sum(E[W_i])/n=Sum(E[X_i])/n=Sum(E[Z_i])/n$, right?
Feb
20
comment $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
@A.S, could you address a new case I have in this setting: say $W,X,Z$ are each a sequence of RVs, $W_i, X_i, Z_i, i:1...n$ instead of single RVs, and I sample $n$ values from one of these sequences (again according to the prior probabilities), independently but thus not identically distributed. I would like again to find $S$, and the condition for which it would be zero, this time in terms of $E(W_i), E(X_i), E(Z_i), i:1...n$ (and the prior probabilities).
Feb
19
awarded  Critic
Feb
19
revised $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
There was a typo
Feb
19
suggested approved edit on $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
Feb
19
accepted $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
Feb
19
comment $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
yes thanks that looks correct.
Feb
19
comment $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
@A.S: Thanks! Looks OK to me.
Feb
19
comment $\lim\limits_{n\to\infty}\operatorname{Var}(n^{-1}\sum_{i=1}^{n}X_i) $
@A.S, thanks for your comment, but it is not all clear how to find the parameters in your solution. Ultimately I need an expression for $S$ in terms of the means of $W,Y,Z$ and the prior probabilities. Can you write your answer as an "answer" not comment...?