[PS] More fixes

2026-07-27 21:29:09 +02:00 · 2026-06-15 18:13:04 +02:00
parent 2828d5e0f0
commit 79aaaa687e
22 changed files with 44 additions and 39 deletions
@@ -4,3 +4,5 @@
 \shorttheorem[Jensensche] $\varphi: \R \rightarrow \R$ konvex, und falls $\E[\varphi(\cX)]$ und $\E[\cX]$ wohldefiniert: $\varphi(\E[\cX]) \leq \E[\varphi(\cX)]$

 \shorttheorem[Dreieck] $\varphi(x) = |x|$, dann $|\E[\cX]| \leq \E[|\cX|]$. $\varphi(x) = x^2$, dann $\E[|\cX|] \leq \sqrt{\E[\cX^2]}$
+
+\shortcorollary[Cheb.] $\V[\cY]$ end. $\forall c > 0$ gilt: $\P[|\cY - \E[\cY]| \geq c] \leq \frac{\V[\cY]}{c^2}$