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Jun
10
answered Prove that $S_n/\sqrt{n}-S_{4n}/\sqrt{4n} \overset w \longrightarrow \mathcal{N}(0,\sigma^2)$
Jul
11
asked The variational formulation of entropy
May
12
asked If the sum of two independent random variables is in $L^2$, is it true that both of them are in $L^1$?
May
4
answered Simple probability problem?
Nov
17
asked The limit of integer valued random variables must be integer valued?
Aug
30
asked Martingale with bounded increment.
Jul
19
asked The extinction probability of Galton-Watson process from a martingale perspective.
Jul
8
asked Are there infinitely many $n$ such that $n$ and $2n+1$ are both prime numbers?
Jun
19
asked Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.?
Jun
18
asked Sum of positive i.i.d. random variables.
Jun
14
answered $X,Y$ i.i.d., $X$ and $(X+Y)/\sqrt{2}$ have the same dist., then show that $X$ has a normal distribution
Jun
13
asked Convergence to exponential function.
Jun
3
asked Scheffe’s Theorem
May
30
asked Difference between $P(Y \ge y)$ and $P(Y > y)$.
Mar
25
asked What does it mean to say “the random variable $X$ conditioned on $X$ being non-negative”?
Mar
1
asked Lower bound on building heap.
Feb
24
asked Martingale and bounded stopping time
Feb
23
asked Generalized Second Borel-Cantelli lemma
Feb
21
asked Convergence of Martingale.
Feb
21
answered A fair coin flip, which of the events are independent