Timeline for Measure of intersections in probability spaces
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 5, 2016 at 17:35 | comment | added | Anthony Quas | There's a missing parenthesis in the inequality. It should be $\mathbb E\Big( \Big[ \sum \big(1_{A_i}-\mu(A_i)\big)\Big]^2\Big)$. It's positive because square numbers are non-negative. | |
| Feb 5, 2016 at 17:09 | comment | added | Darío G | Also, how exactly the last inequality help me to find the two indices satisfying $\mu(A_i\cap A_j)\geq \epsilon^2$? Couldn't it be possible that the indices witnessing the maximum value of $\mu(A_i\cap A_j)$ also depend on N, and the measure of the intersection keep being always strictly less than $\epsilon^2$? | |
| Feb 5, 2016 at 16:03 | history | answered | user83457 | CC BY-SA 3.0 |