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authorPrefetch2021-11-14 17:54:04 +0100
committerPrefetch2021-11-14 17:54:04 +0100
commitc0d352dd0f66b47ee91fb96eaf320f895fa78790 (patch)
tree961eb3f1c6afcd418b0319aa2ec4c2c51b84f92a /content/know/concept/conditional-expectation/index.pdc
parentf2970c55894b3c8d5fd2926a8918d166988109fe (diff)
Expand knowledge base
Diffstat (limited to 'content/know/concept/conditional-expectation/index.pdc')
-rw-r--r--content/know/concept/conditional-expectation/index.pdc8
1 files changed, 4 insertions, 4 deletions
diff --git a/content/know/concept/conditional-expectation/index.pdc b/content/know/concept/conditional-expectation/index.pdc
index 5bcc152..5a8f07e 100644
--- a/content/know/concept/conditional-expectation/index.pdc
+++ b/content/know/concept/conditional-expectation/index.pdc
@@ -77,10 +77,10 @@ $$\begin{aligned}
Recall that because $Y$ is a random variable,
$\mathbf{E}[X|Y] = f(Y)$ is too.
In other words, $f$ maps $Y$ to another random variable,
-which, due to the *Doob-Dynkin lemma*
-(see [$\sigma$-algebra](/know/concept/sigma-algebra/)),
-must mean that $\mathbf{E}[X|Y]$ is measurable with respect to $\sigma(Y)$.
-Intuitively, this makes some sense:
+which, thanks to the *Doob-Dynkin lemma*
+(see [random variable](/know/concept/random-variable/)),
+means that $\mathbf{E}[X|Y]$ is measurable with respect to $\sigma(Y)$.
+Intuitively, this makes sense:
$\mathbf{E}[X|Y]$ cannot contain more information about events
than the $Y$ it was calculated from.