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Results tagged with geometric-probability
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user 8588
1
vote
Accepted
On bounding a certain discrepancy between probability distributions on the symmetric group
There is no non-trivial lower bound as it is well possible that $P\neq Q$, whereas $p_{ij}=q_{ij}$ for all pairs of $i$ and $j$. The reason is that (as you point out), these numbers are nothing but th …
- 17k
2
votes
Accepted
Union of random half spaces cover a ray
You should look instead at the probability $p_m$ that
$$
y\notin \bigcup_{i=1}^m \mathcal H(a_i) \;,
$$
or, in other words, that $\langle y, a_i \rangle < 0$ for all $a_i$. Since $a_i$ are independen …
- 17k
13
votes
The metric of the expected difference of random variables
Before this question gets closed (although I don't see any reason for that), I would like to point out that although this metric looks like the $L^1$ norm, it actually is not (the OP tried to point th …
- 17k