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visits member for 1 year, 10 months
seen Apr 16 at 2:46

Apr
14
accepted non-measure theoretic proof of towering property of expectation
Feb
10
awarded  Notable Question
Sep
25
awarded  Popular Question
Sep
13
awarded  Popular Question
May
28
awarded  Yearling
Apr
5
accepted Symbolic evaluation of an optimization problem
Apr
3
comment Symbolic evaluation of an optimization problem
True - I just wanted to write them in canonical form.
Apr
3
comment Symbolic evaluation of an optimization problem
Why is the choice $\forall i\ge 0: x_i = c = N$ minimal?
Apr
3
revised Symbolic evaluation of an optimization problem
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Apr
3
asked Symbolic evaluation of an optimization problem
Feb
6
accepted Expression for $E[|X - E[X]|^3]$
Feb
5
asked Expression for $E[|X - E[X]|^3]$
Feb
5
comment Applying the central limit theorem
yes, the latter.
Feb
4
comment Applying the central limit theorem
It is the former case, the range of the probability $\rightarrow 1/2$ as $n\rightarrow \infty$. But for applying the classic CLT, the RVs need to be i.i.d for every $n$, not just in the limit, right?
Feb
4
revised Applying the central limit theorem
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Feb
4
revised Applying the central limit theorem
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Feb
4
comment Applying the central limit theorem
One more thing, how did you get an expected value of $O(\log n)$ in your answer? Since each $X_i$ is a Bernoulli trial, isn't $\mathbb{E}(X_i) \leq (1/2 + 1/n) - (1/2-1/n) = 2/n$ and thus $\mathbb{E}(X_1+\cdots+X_n) \leq 2$?
Feb
3
accepted Applying the central limit theorem
Feb
3
comment Applying the central limit theorem
Thanks, so if I understand your answer correctly, the central limit theorem won't be applicable if $p_i \in [1/2 - 1/\sqrt{n},1/2 + 1/\sqrt{n}]$ right?
Feb
3
asked Applying the central limit theorem