small update

This commit is contained in:
Morten Hjorth-Jensen
2023-09-11 13:18:53 +02:00
parent e0f2b706c3
commit e3467051c8
5 changed files with 45 additions and 45 deletions
Binary file not shown.
@@ -2,7 +2,7 @@
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@@ -14,7 +14,7 @@
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@@ -27,7 +27,7 @@
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@@ -45,7 +45,7 @@
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@@ -57,7 +57,7 @@
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@@ -68,7 +68,7 @@
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@@ -80,7 +80,7 @@
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@@ -90,7 +90,7 @@
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@@ -102,7 +102,7 @@
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@@ -114,7 +114,7 @@
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@@ -125,7 +125,7 @@
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@@ -137,7 +137,7 @@
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@@ -150,7 +150,7 @@
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@@ -162,17 +162,17 @@
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"source": [
"Show finally that the variance of $\\boldsymbol{\\beta}$ is"
"Show finally that the variance of $\\boldsymbol{\\boldsymbol{\\beta}}$ is"
]
},
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@@ -184,7 +184,7 @@
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@@ -195,7 +195,7 @@
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@@ -207,7 +207,7 @@
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@@ -220,7 +220,7 @@
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@@ -233,7 +233,7 @@
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@@ -245,7 +245,7 @@
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@@ -475,7 +475,7 @@ mean value <span class="math notranslate nohighlight">\(\boldsymbol{X}\boldsymbo
\[
\mathbb{E}(\boldsymbol{\hat{\beta}}) = \boldsymbol{\beta}.
\]</div>
<p>Show finally that the variance of <span class="math notranslate nohighlight">\(\boldsymbol{\beta}\)</span> is</p>
<p>Show finally that the variance of <span class="math notranslate nohighlight">\(\boldsymbol{\boldsymbol{\beta}}\)</span> is</p>
<div class="math notranslate nohighlight">
\[
\mbox{Var}(\boldsymbol{\hat{\beta}}) = \sigma^2 \, (\mathbf{X}^{T} \mathbf{X})^{-1}.
@@ -2,7 +2,7 @@
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@@ -14,7 +14,7 @@
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@@ -27,7 +27,7 @@
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@@ -45,7 +45,7 @@
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@@ -57,7 +57,7 @@
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@@ -68,7 +68,7 @@
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@@ -80,7 +80,7 @@
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@@ -90,7 +90,7 @@
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@@ -102,7 +102,7 @@
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@@ -114,7 +114,7 @@
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@@ -125,7 +125,7 @@
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@@ -137,7 +137,7 @@
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@@ -150,7 +150,7 @@
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@@ -162,17 +162,17 @@
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"source": [
"Show finally that the variance of $\\boldsymbol{\\beta}$ is"
"Show finally that the variance of $\\boldsymbol{\\boldsymbol{\\beta}}$ is"
]
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@@ -184,7 +184,7 @@
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@@ -195,7 +195,7 @@
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@@ -207,7 +207,7 @@
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@@ -220,7 +220,7 @@
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@@ -233,7 +233,7 @@
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@@ -245,7 +245,7 @@
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