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authorPrefetch2022-12-20 20:11:25 +0100
committerPrefetch2022-12-20 20:11:25 +0100
commit1d700ab734aa9b6711eb31796beb25cb7659d8e0 (patch)
treeefdd26b83be1d350d7c6c01baef11a54fa2c5b36 /source/know/concept/conditional-expectation
parenta39bb3b8aab1aeb4fceaedc54c756703819776c3 (diff)
More improvements to knowledge base
Diffstat (limited to 'source/know/concept/conditional-expectation')
-rw-r--r--source/know/concept/conditional-expectation/index.md3
1 files changed, 2 insertions, 1 deletions
diff --git a/source/know/concept/conditional-expectation/index.md b/source/know/concept/conditional-expectation/index.md
index f64fa72..cd40315 100644
--- a/source/know/concept/conditional-expectation/index.md
+++ b/source/know/concept/conditional-expectation/index.md
@@ -41,7 +41,7 @@ Where $$Q$$ is a renormalized probability function,
which assigns zero to all events incompatible with $$Y = y$$.
If we allow $$\Omega$$ to be continuous,
then from the definition $$\mathbf{E}[X]$$,
-we know that the following Lebesgue integral can be used,
+we know that the following *Lebesgue integral* can be used,
which we call $$f(y)$$:
$$\begin{aligned}
@@ -103,6 +103,7 @@ such that $$\mathbf{E}[X | \sigma(Y)] = f(Y)$$,
then $$Z = \mathbf{E}[X | \sigma(Y)]$$ is unique.
+
## Properties
A conditional expectation defined in this way has many useful properties,