josia-notes/s23-probability-theory
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

fixed remark regarding tail sigma algebra

Browse source
This commit is contained in:
Josia Pietsch 2023-05-19 13:44:26 +02:00
parent 85e63b912b
commit ee6f4fe851
Signed by: josia
GPG key ID: E70B571D66986A2D
1 changed files with 1 additions and 1 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

2
inputs/lecture_8.tex
View file

@ -24,7 +24,7 @@ of sequences of random variables.
is again a $\sigma$-algebra, $\cT$ is indeed a $\sigma$-algebra.
\item We have
\[
\cT = \{A \in \cF ~|~ \forall i \exists B \in \cF^{\otimes \N} : A = \{\omega | (X_i(\omega), X_{i+1}(\omega), \ldots) \in B\} \}. % TODO?
\cT = \{A \in \cF ~|~ \forall i ~ \exists B \in \cB(\R)^{\otimes \N} : A = \{\omega | (X_i(\omega), X_{i+1}(\omega), \ldots) \in B\} \}. % TODO?
\]
\end{enumerate}
\end{remark}