correcting typos

This commit is contained in:
Morten Hjorth-Jensen
2021-09-10 06:41:29 +02:00
parent 146e70d762
commit 5ea4680ee7
7 changed files with 10 additions and 15 deletions
+1 -1
View File
@@ -389,7 +389,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Sep 9, 2021</h4></center> <!-- date -->
<center><h4>Sep 10, 2021</h4></center> <!-- date -->
<br>
<p>
+2 -3
View File
@@ -148,7 +148,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>&nbsp;<br>
<center><h4>Sep 9, 2021</h4></center> <!-- date -->
<center><h4>Sep 10, 2021</h4></center> <!-- date -->
<br>
<p>
@@ -1353,8 +1353,7 @@ where we have used that \( \mathbb{E} (\mathbf{Y} \mathbf{Y}^{T}) =
\sigma^2 \, \mathbf{I}_{nn} \). From \( \mbox{Var}(\boldsymbol{\beta}) = \sigma^2
\, (\mathbf{X}^{T} \mathbf{X})^{-1} \), one obtains an estimate of the
variance of the estimate of the \( j \)-th regression coefficient:
\( \boldsymbol{\sigma}^2 (\boldsymbol{\beta}_j ) = \boldsymbol{\sigma}^2 \sqrt{
[(\mathbf{X}^{T} \mathbf{X})^{-1}]_{jj} } \). This may be used to
\( \boldsymbol{\sigma}^2 (\boldsymbol{\beta}_j ) = \boldsymbol{\sigma}^2 [(\mathbf{X}^{T} \mathbf{X})^{-1}]_{jj} \). This may be used to
construct a confidence interval for the estimates.
<p>
+2 -3
View File
@@ -308,7 +308,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Sep 9, 2021</h4></center> <!-- date -->
<center><h4>Sep 10, 2021</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -1373,8 +1373,7 @@ where we have used that \( \mathbb{E} (\mathbf{Y} \mathbf{Y}^{T}) =
\sigma^2 \, \mathbf{I}_{nn} \). From \( \mbox{Var}(\boldsymbol{\beta}) = \sigma^2
\, (\mathbf{X}^{T} \mathbf{X})^{-1} \), one obtains an estimate of the
variance of the estimate of the \( j \)-th regression coefficient:
\( \boldsymbol{\sigma}^2 (\boldsymbol{\beta}_j ) = \boldsymbol{\sigma}^2 \sqrt{
[(\mathbf{X}^{T} \mathbf{X})^{-1}]_{jj} } \). This may be used to
\( \boldsymbol{\sigma}^2 (\boldsymbol{\beta}_j ) = \boldsymbol{\sigma}^2 [(\mathbf{X}^{T} \mathbf{X})^{-1}]_{jj} \). This may be used to
construct a confidence interval for the estimates.
<p>
+2 -3
View File
@@ -313,7 +313,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Sep 9, 2021</h4></center> <!-- date -->
<center><h4>Sep 10, 2021</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -1378,8 +1378,7 @@ where we have used that \( \mathbb{E} (\mathbf{Y} \mathbf{Y}^{T}) =
\sigma^2 \, \mathbf{I}_{nn} \). From \( \mbox{Var}(\boldsymbol{\beta}) = \sigma^2
\, (\mathbf{X}^{T} \mathbf{X})^{-1} \), one obtains an estimate of the
variance of the estimate of the \( j \)-th regression coefficient:
\( \boldsymbol{\sigma}^2 (\boldsymbol{\beta}_j ) = \boldsymbol{\sigma}^2 \sqrt{
[(\mathbf{X}^{T} \mathbf{X})^{-1}]_{jj} } \). This may be used to
\( \boldsymbol{\sigma}^2 (\boldsymbol{\beta}_j ) = \boldsymbol{\sigma}^2 [(\mathbf{X}^{T} \mathbf{X})^{-1}]_{jj} \). This may be used to
construct a confidence interval for the estimates.
<p>