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Student.


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Jul
12
revised The variational formulation of entropy
edited body
Jul
11
asked The variational formulation of entropy
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May
16
revised If the sum of two independent random variables is in $L^2$, is it true that both of them are in $L^1$?
deleted 148 characters in body
May
14
accepted If the sum of two independent random variables is in $L^2$, is it true that both of them are in $L^1$?
May
13
revised If the sum of two independent random variables is in $L^2$, is it true that both of them are in $L^1$?
added 148 characters in body
May
13
comment If the sum of two independent random variables is in $L^2$, is it true that both of them are in $L^1$?
@Batman That's why proving $X$ and $Y$ are in $L^1$ should be an easier task, isn't it?
May
13
comment If the sum of two independent random variables is in $L^2$, is it true that both of them are in $L^1$?
Can you give an example s.t. $\mathbb E(X+Y)^2 < \infty$ but $\mathbb E X = \infty$ and $\mathbb E Y = \infty$?
May
12
comment 1D biased random walk - is the event of infinte many returns a tail event?
You should check Hewitt–Savage zero–one law - en.wikipedia.org/wiki/…
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
7
comment hat problem and probability
If the colors are assigned at equal probability and independently, you will not be able do better than 1/2.