<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
		<id>https://www.scipedia.com/wd/index.php?action=history&amp;feed=atom&amp;title=Delff-Andersen_et_al_2013a</id>
		<title>Delff-Andersen et al 2013a - Revision history</title>
		<link rel="self" type="application/atom+xml" href="https://www.scipedia.com/wd/index.php?action=history&amp;feed=atom&amp;title=Delff-Andersen_et_al_2013a"/>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;action=history"/>
		<updated>2026-04-25T22:21:04Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
		<generator>MediaWiki 1.27.0-wmf.10</generator>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;diff=46253&amp;oldid=prev</id>
		<title>Scipediacontent at 10:13, 12 May 2017</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;diff=46253&amp;oldid=prev"/>
				<updated>2017-05-12T10:13:01Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 10:13, 12 May 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l522&quot; &gt;Line 522:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 522:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| style=&amp;quot;text-align: center; margin:auto;&amp;quot; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| style=&amp;quot;text-align: center; margin:auto;&amp;quot; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| &amp;lt;math&amp;gt;\overset{\mbox{ˆ}}{UA}={\lambda }^{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;⁎&lt;/del&gt;}\cdot {\overset{\mbox{ˆ}}{UA}}_{T_i}+&amp;lt;/math&amp;gt;&amp;lt;math&amp;gt;(1-{\lambda }^{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;⁎&lt;/del&gt;}){\overset{\mbox{ˆ}}{UA}}_{T_a}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| &amp;lt;math&amp;gt;\overset{\mbox{ˆ}}{UA}={\lambda }^{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;*&lt;/ins&gt;}\cdot {\overset{\mbox{ˆ}}{UA}}_{T_i}+&amp;lt;/math&amp;gt;&amp;lt;math&amp;gt;(1-{\lambda }^{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;*&lt;/ins&gt;}){\overset{\mbox{ˆ}}{UA}}_{T_a}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;width: 5px;text-align: right;white-space: nowrap;&amp;quot; | ( 13)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;width: 5px;text-align: right;white-space: nowrap;&amp;quot; | ( 13)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l535&quot; &gt;Line 535:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 535:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| style=&amp;quot;text-align: center; margin:auto;&amp;quot; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| style=&amp;quot;text-align: center; margin:auto;&amp;quot; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| &amp;lt;math&amp;gt;{\lambda }^{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;⁎&lt;/del&gt;}=\underset{\lambda \in R}{arg\quad min}V(\lambda {\overset{\mbox{ˆ}}{UA}}_{T_i}+&amp;lt;/math&amp;gt;&amp;lt;math&amp;gt;(1-\lambda ){\overset{\mbox{ˆ}}{UA}}_{T_a})&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| &amp;lt;math&amp;gt;{\lambda }^{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;*&lt;/ins&gt;}=\underset{\lambda \in R}{arg\quad min}V(\lambda {\overset{\mbox{ˆ}}{UA}}_{T_i}+&amp;lt;/math&amp;gt;&amp;lt;math&amp;gt;(1-\lambda ){\overset{\mbox{ˆ}}{UA}}_{T_a})&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;width: 5px;text-align: right;white-space: nowrap;&amp;quot; | ( 14)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;width: 5px;text-align: right;white-space: nowrap;&amp;quot; | ( 14)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l561&quot; &gt;Line 561:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 561:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| style=&amp;quot;text-align: center; margin:auto;&amp;quot; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| style=&amp;quot;text-align: center; margin:auto;&amp;quot; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| &amp;lt;math&amp;gt;{\lambda }^{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;⁎&lt;/del&gt;}=\frac{V({\overset{\mbox{ˆ}}{UA}}_{T_a})-Cov({\overset{\mbox{ˆ}}{UA}}_{T_i},{\overset{\mbox{ˆ}}{UA}}_{T_a})}{V({\overset{\mbox{ˆ}}{UA}}_{T_i})+V({\overset{\mbox{ˆ}}{UA}}_{T_a})-2Cov({\overset{\mbox{ˆ}}{UA}}_{T_i},{\overset{\mbox{ˆ}}{UA}}_{T_a})}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| &amp;lt;math&amp;gt;{\lambda }^{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;*&lt;/ins&gt;}=\frac{V({\overset{\mbox{ˆ}}{UA}}_{T_a})-Cov({\overset{\mbox{ˆ}}{UA}}_{T_i},{\overset{\mbox{ˆ}}{UA}}_{T_a})}{V({\overset{\mbox{ˆ}}{UA}}_{T_i})+V({\overset{\mbox{ˆ}}{UA}}_{T_a})-2Cov({\overset{\mbox{ˆ}}{UA}}_{T_i},{\overset{\mbox{ˆ}}{UA}}_{T_a})}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;width: 5px;text-align: right;white-space: nowrap;&amp;quot; | ( 16)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;width: 5px;text-align: right;white-space: nowrap;&amp;quot; | ( 16)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l596&quot; &gt;Line 596:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 596:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where &amp;lt;math display=&amp;quot;inline&amp;quot;&amp;gt;\partial f/\partial x&amp;lt;/math&amp;gt;&amp;#160; is the Jacobian matrix. While &amp;lt;math display=&amp;quot;inline&amp;quot;&amp;gt;\overset{\mbox{ˆ}}{P}&amp;lt;/math&amp;gt;&amp;#160; can be estimated from the estimation of &amp;lt;math display=&amp;quot;inline&amp;quot;&amp;gt;x&amp;lt;/math&amp;gt; , the Jacobian can be derived from ''f'' , in this case by differentiating the expressions&amp;#160; [[#eq0055|(11)]]  ;  [[#eq0060|(12)]] . It is possible to estimate the variances of&amp;#160; [[#eq0055|(11)]]  ;  [[#eq0060|(12)]]&amp;#160; without linearization, see e.g., [[#bib18|Tellinghuisen (2001)]] . The advantage of using [[#eq0090|(18)]]&amp;#160; is that it yields the covariance between the estimates directly. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160;  &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;where &amp;lt;math display=&amp;quot;inline&amp;quot;&amp;gt;\partial f/\partial x&amp;lt;/math&amp;gt;&amp;#160; is the Jacobian matrix. While &amp;lt;math display=&amp;quot;inline&amp;quot;&amp;gt;\overset{\mbox{ˆ}}{P}&amp;lt;/math&amp;gt;&amp;#160; can be estimated from the estimation of &amp;lt;math display=&amp;quot;inline&amp;quot;&amp;gt;x&amp;lt;/math&amp;gt; , the Jacobian can be derived from ''f'' , in this case by differentiating the expressions&amp;#160; [[#eq0055|(11)]]  ;  [[#eq0060|(12)]] . It is possible to estimate the variances of&amp;#160; [[#eq0055|(11)]]  ;  [[#eq0060|(12)]]&amp;#160; without linearization, see e.g., [[#bib18|Tellinghuisen (2001)]] . The advantage of using [[#eq0090|(18)]]&amp;#160; is that it yields the covariance between the estimates directly.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===3.2. Deriving time constants from a linear model===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===3.2. Deriving time constants from a linear model===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key mw_drafts_scipedia-sc_mwd_:diff:version:1.11a:oldid:45603:newid:46253 --&gt;
&lt;/table&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;diff=45603&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Draft Content 854656100 to Delff-Andersen et al 2013a</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;diff=45603&amp;oldid=prev"/>
				<updated>2017-05-12T09:57:22Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_854656100&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 854656100&quot;&gt;Draft Content 854656100&lt;/a&gt; to &lt;a href=&quot;/public/Delff-Andersen_et_al_2013a&quot; title=&quot;Delff-Andersen et al 2013a&quot;&gt;Delff-Andersen et al 2013a&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 09:57, 12 May 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;diff=45258&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot;  ==Abstract==  This paper addresses the difficulties in pinpointing reasons for unexpectedly high energy consumption in construction, and in low-energy houses especially. Sta...&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;diff=45258&amp;oldid=prev"/>
				<updated>2017-05-12T09:53:13Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;  ==Abstract==  This paper addresses the difficulties in pinpointing reasons for unexpectedly high energy consumption in construction, and in low-energy houses especially. Sta...&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://www.scipedia.com/wd/index.php?title=Delff-Andersen_et_al_2013a&amp;amp;diff=45258&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	</feed>