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		<title>German tank problem - Revision history</title>
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		<updated>2026-10-23T21:12:35Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.karljones.com/index.php?title=German_tank_problem&amp;diff=13704&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;In the statistical theory of estimation, the '''German tank problem''' involves estimating the maximum of a discrete uniform distribution from sampli...&quot;</title>
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				<updated>2016-04-26T00:22:17Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;In the &lt;a href=&quot;/index.php?title=Statistical_theory&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Statistical theory (page does not exist)&quot;&gt;statistical theory&lt;/a&gt; of &lt;a href=&quot;/index.php/Estimation_theory&quot; title=&quot;Estimation theory&quot;&gt;estimation&lt;/a&gt;, the &amp;#039;&amp;#039;&amp;#039;German tank problem&amp;#039;&amp;#039;&amp;#039; involves estimating the maximum of a discrete uniform distribution from sampli...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In the [[statistical theory]] of [[Estimation theory|estimation]], the '''German tank problem''' involves estimating the maximum of a discrete uniform distribution from sampling without replacement, due to its application in [[World War II]] to the estimation of the number of German tanks.&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
The Allies attempted to estimate the number of tanks being produced. To do this, they used the serial numbers on captured or destroyed tanks. &lt;br /&gt;
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The statistical approach proved to be far more accurate than conventional intelligence methods, and the phrase &amp;quot;German tank problem&amp;quot; became accepted as a descriptor for this type of statistical analysis.&lt;br /&gt;
&lt;br /&gt;
This analysis shows the approach that was used and illustrates the difference between frequentist inference and Bayesian inference.&lt;br /&gt;
&lt;br /&gt;
Estimating the population maximum based on a single sample yields divergent results, while the estimation based on multiple samples is an instructive practical estimation question whose answer is simple but not obvious.&lt;br /&gt;
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== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Identifier]]&lt;br /&gt;
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== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/German_tank_problem German tank problem] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]]&lt;br /&gt;
[[Category:Statistics]]&lt;br /&gt;
[[Category:War]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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