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Results tagged with geometric-probability
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user 47484
2
votes
Average distance of the mean of $n$ random complex numbers in a unit disc
This does not answer the question, but reformulates it as an integration problem and addresses a question asked in the comments.
Conditionally on $|z_1| = a_1$, ..., $|z_n| = a_n$, the probability tha …
- 3,927
13
votes
Accepted
Expected absolute value of the average of two points from the disc
The easiest way seems to be to take the integration variable to be $x= |\frac{z_1+z_2}{2}|$ and then integrate over the position of the point furthest from the origin:
This gives
$$ \operatorname{exp …
- 3,927