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	<id>https://wiki.scott5.org/index.php?action=history&amp;feed=atom&amp;title=Exponential_Moving_Average</id>
	<title>Exponential Moving Average - Revision history</title>
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	<updated>2026-04-13T00:29:58Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.scott5.org/index.php?title=Exponential_Moving_Average&amp;diff=64&amp;oldid=prev</id>
		<title>Scott: Created page with &#039;Given a sequence of numbers &lt;math&gt;x_1, x_2, ..., x_N&lt;/math&gt; we estimate the n-day exponential moving average for &lt;math&gt;x_N&lt;/math&gt; to be   &lt;math&gt;\mbox{EMA}(n, N) = \frac{2}{n+1}\s…&#039;</title>
		<link rel="alternate" type="text/html" href="https://wiki.scott5.org/index.php?title=Exponential_Moving_Average&amp;diff=64&amp;oldid=prev"/>
		<updated>2011-01-31T17:14:52Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;Given a sequence of numbers &amp;lt;math&amp;gt;x_1, x_2, ..., x_N&amp;lt;/math&amp;gt; we estimate the n-day exponential moving average for &amp;lt;math&amp;gt;x_N&amp;lt;/math&amp;gt; to be   &amp;lt;math&amp;gt;\mbox{EMA}(n, N) = \frac{2}{n+1}\s…&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Given a sequence of numbers &amp;lt;math&amp;gt;x_1, x_2, ..., x_N&amp;lt;/math&amp;gt; we estimate the n-day exponential moving average for &amp;lt;math&amp;gt;x_N&amp;lt;/math&amp;gt; to be &lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mbox{EMA}(n, N) = \frac{2}{n+1}\sum_{k=0}^{n-1}(\frac{n-1}{n+1})^k x_{N-k-1} +(\frac{n-1}{n+1})^n \frac{1}{n} \sum_{k=0}^{n-1} x_{N-k-1}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
(Note that we don&amp;#039;t include &amp;lt;math&amp;gt;x_N&amp;lt;/math&amp;gt; in the average).&lt;/div&gt;</summary>
		<author><name>Scott</name></author>
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