Post

@ccanonne.github.io

To start the day with something nice (?): for two arbitrary events A, B, of course we don't have Pr(A∩B) = Pr[A]Pr[B]. That would be silly! But... we always have it "approximately": |Pr(A∩B) - Pr[A]Pr[B]| ≤ 1/4

27/10/26, 8:34 pm3 reposts20 likes

Pierre Alquier

@pierrealquier.bsky.social

13h

Let's talk about α-mixing now 😈

Gary Hoppenworth

@garytho.bsky.social

19h

All events are independent (up to constants)

Clément Canonne

@ccanonne.github.io

19h

Is it useful? Who knows 🤷. But I like it, and hope you do too. Here is a proof (mostly calculus): math.stackexchange.com/q/980655/75808

math.stackexchange.comProving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$Let $A$ and $B$ be two events of a probability space. Prove that $\displaystyle|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$ I think it's a very challenging problem, and I've made no progress so far ... Can