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Diffstat (limited to 'content/know/concept/conditional-expectation/index.pdc')
| -rw-r--r-- | content/know/concept/conditional-expectation/index.pdc | 8 |
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. |