updating typos

This commit is contained in:
Morten Hjorth-Jensen
2023-09-19 14:46:00 +02:00
parent c38c1c3bbb
commit 33123d4bf2
13 changed files with 549 additions and 1408 deletions
@@ -324,13 +324,13 @@ term which measures the deviation from the true data and the mean value of the m
That is, show that
!bt
\[
\mathbb{E}\left[(\bm{y}-\bm{\tilde{y}})^2\right]=\mathrm{Bias}[y]+\mathrm{var}[\tilde{y}]+\sigma^2,
\mathbb{E}\left[(\bm{y}-\bm{\tilde{y}})^2\right]=\mathrm{Bias}[\tilde{y}]+\mathrm{var}[\tilde{y}]+\sigma^2,
\]
!et
with
!bt
\[
\mathrm{Bias}[y]=\mathbb{E}\left[\left(\bm{y}-\mathbb{E}\left[\bm{\tilde{y}}\right]\right)^2\right],
\mathrm{Bias}[\tilde{y}]=\mathbb{E}\left[\left(\bm{y}-\mathbb{E}\left[\bm{\tilde{y}}\right]\right)^2\right],
\]
!et
and