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		<title>Factor-Model on r-econometrics</title>
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				<title>An Introduction to Factor-Augmented Vector Autoregression (FAVAR)</title>
				<link>https://www.r-econometrics.com/timeseries/favarintro/</link>
				<pubDate>Mon, 12 Oct 2026 00:00:00 +0000</pubDate>
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				<description>&lt;div id=&#34;introduction&#34; class=&#34;section level2&#34;&gt;&#xA;&lt;h2&gt;Introduction&lt;/h2&gt;&#xA;&lt;p&gt;As we saw in the &lt;a href=&#34;https://www.r-econometrics.com/timeseries/varintro&#34;&gt;post on vector autoregressive (VAR) models&lt;/a&gt;, traditional VAR models suffer from a so-called &lt;em&gt;curse of dimensionality&lt;/em&gt;. Each additional variable adds a further equation and a further lag polynomial to every other equation, so the number of coefficients grows with the square of the number of variables. With the few decades of quarterly data that are usually available this limits a VAR to a handful of variables. Policy makers, however, base their decisions on a much larger set of indicators than a VAR can accommodate, and leaving that information out of the model can distort the results.&lt;/p&gt;</description>
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				<title>An Introduction to Dynamic Factor Models</title>
				<link>https://www.r-econometrics.com/timeseries/dynamicfactorintro/</link>
				<pubDate>Sun, 25 Apr 2021 00:00:00 +0000</pubDate>
				<guid>https://www.r-econometrics.com/timeseries/dynamicfactorintro/</guid>
				<description>&lt;div id=&#34;introduction&#34; class=&#34;section level2&#34;&gt;&#xA;&lt;h2&gt;Introduction&lt;/h2&gt;&#xA;&lt;p&gt;For some macroeconomic applications it might be interesting to see whether a set of observable variables depends on common drivers. The estimation of such common factors can be done using so-called &lt;em&gt;factor analytical models&lt;/em&gt;, which have the form&lt;/p&gt;&#xA;&lt;p&gt;&lt;span class=&#34;math display&#34;&gt;\[x_t = \lambda f_t + u_t,\]&lt;/span&gt;&lt;/p&gt;&#xA;&lt;p&gt;where &lt;span class=&#34;math inline&#34;&gt;\(x_t\)&lt;/span&gt; is an &lt;span class=&#34;math inline&#34;&gt;\(M\)&lt;/span&gt;-dimensional vector of observable variables, &lt;span class=&#34;math inline&#34;&gt;\(f_t\)&lt;/span&gt; is an &lt;span class=&#34;math inline&#34;&gt;\(N \times 1\)&lt;/span&gt; vector of unobserved factors, &lt;span class=&#34;math inline&#34;&gt;\(\lambda\)&lt;/span&gt; is an &lt;span class=&#34;math inline&#34;&gt;\(M \times N\)&lt;/span&gt; matrix of factor loadings and &lt;span class=&#34;math inline&#34;&gt;\(u_t\)&lt;/span&gt; is an error term.&lt;/p&gt;</description>
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