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
@@ -525,12 +525,12 @@ term which measures the deviation from the true data and the mean value of the m
That is, show that
</p>
$$
\mathbb{E}\left[(\boldsymbol{y}-\boldsymbol{\tilde{y}})^2\right]=\mathrm{Bias}[y]+\mathrm{var}[\tilde{y}]+\sigma^2,
\mathbb{E}\left[(\boldsymbol{y}-\boldsymbol{\tilde{y}})^2\right]=\mathrm{Bias}[\tilde{y}]+\mathrm{var}[\tilde{y}]+\sigma^2,
$$
<p>with </p>
$$
\mathrm{Bias}[y]=\mathbb{E}\left[\left(\boldsymbol{y}-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right]\right)^2\right],
\mathrm{Bias}[\tilde{y}]=\mathbb{E}\left[\left(\boldsymbol{y}-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right]\right)^2\right],
$$
<p>and </p>