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authorYuchen Pei <me@ypei.me>2019-03-24 14:44:51 +0100
committerYuchen Pei <me@ypei.me>2019-03-24 14:44:51 +0100
commit2e1caf7c9e9e9c3b5e16710d0f17f7ee15d0c61d (patch)
tree2db69cb968e3b392399de57574ca8658b210fff3
parent2123c7dd9b81533ff635124277312b691fdd0c48 (diff)
minor
-rw-r--r--posts/2019-03-14-great-but-manageable-expectations.md4
1 files changed, 2 insertions, 2 deletions
diff --git a/posts/2019-03-14-great-but-manageable-expectations.md b/posts/2019-03-14-great-but-manageable-expectations.md
index 156ddaa..e8a37a0 100644
--- a/posts/2019-03-14-great-but-manageable-expectations.md
+++ b/posts/2019-03-14-great-but-manageable-expectations.md
@@ -363,7 +363,7 @@ and for $I \in \mathcal I_\notin$,
$$D_\lambda(p_I || q_I) = 0 = D_\lambda(\mu_0 || \mu_0).$$
Since we are taking an average over $\mathcal I$, of which $r |\mathcal I|$ are
-in $\mathcal I_\in$ and $(1 - r) |\mathcal I|$ are in $\mathcal I_\noin$, (9.3) says
+in $\mathcal I_\in$ and $(1 - r) |\mathcal I|$ are in $\mathcal I_\notin$, (9.3) says
"the inequalities carry over averaging".
[A more general version of Conjecture 1 has been proven false](https://math.stackexchange.com/a/3152296/149540).
@@ -381,7 +381,7 @@ By Claim 25, we have
$$D_\lambda(p_\in || q_\in) \le D_\lambda (\mu_1 || \mu_0). \qquad(9.9) $$
So one way to prove Conjecture 1 is perhaps prove a more specialised
-comparison theorem than the false Conjecture:
+comparison theorem than the false conjecture:
Given (9.7) and (9.9), show that