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	<updated>2026-10-02T04:13:27Z</updated>
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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Central_limit_theorem_for_directional_statistics&amp;diff=26714</id>
		<title>Central limit theorem for directional statistics</title>
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		<updated>2013-11-03T00:05:04Z</updated>

		<summary type="html">&lt;p&gt;80.236.246.141: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The &#039;&#039;&#039;Average Service Unavailability Index (ASUI)&#039;&#039;&#039;&amp;lt;ref name=&amp;quot;Pham2003&amp;quot;&amp;gt;{{cite book|last=Pham|first=Hoang|title=Handbook of reliability engineering|url=http://books.google.com/books?id=Xe6Z4wKQFMoC&amp;amp;pg=PA514|accessdate=21 July 2011|date=8 April 2003|publisher=Birkhäuser|isbn=978-1-85233-453-6|pages=514}}&amp;lt;/ref&amp;gt; is a reliability index commonly used by [[electric power]] [[utilities]]. It is calculated as&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mbox{ASUI} = \frac{\sum{U_i N_i}}{\sum{N_i} \times 8760} = 1- \mbox{ASAI}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;N_i&amp;lt;/math&amp;gt; is the number of customers and &amp;lt;math&amp;gt;U_i&amp;lt;/math&amp;gt; is the annual outage time (in hours) for location &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;. ASUI can be represented in relation to [[SAIDI]] (where annual SAIDI is given in hours) as&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mbox{ASUI} = \frac{\mbox{SAIDI}}{8760}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[ASAI]]&lt;br /&gt;
*[[SAIDI]]&lt;br /&gt;
*[[SAIFI]]&lt;br /&gt;
*[[CAIDI]]&lt;br /&gt;
*[[CAIFI]]&lt;br /&gt;
*[[MAIFI]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Electric power distribution]]&lt;/div&gt;</summary>
		<author><name>80.236.246.141</name></author>
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