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	<id>https://www.reliawiki.com/index.php?action=history&amp;feed=atom&amp;title=Template%3ALognormal_distribution_failure_rate_function</id>
	<title>Template:Lognormal distribution failure rate function - Revision history</title>
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	<updated>2026-05-02T17:58:38Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.44.0</generator>
	<entry>
		<id>https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=31376&amp;oldid=prev</id>
		<title>Richard House: Redirected page to Lognormal Distribution Functions</title>
		<link rel="alternate" type="text/html" href="https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=31376&amp;oldid=prev"/>
		<updated>2012-08-13T05:30:54Z</updated>

		<summary type="html">&lt;p&gt;Redirected page to &lt;a href=&quot;/index.php/Lognormal_Distribution_Functions&quot; title=&quot;Lognormal Distribution Functions&quot;&gt;Lognormal Distribution Functions&lt;/a&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 05:30, 13 August 2012&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-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===The &lt;/del&gt;Lognormal &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Failure Rate Function===&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;#REDIRECT [[&lt;/ins&gt;Lognormal &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Distribution Functions]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The lognormal failure rate is given by:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;::&amp;lt;math&amp;gt;\lambda (t)=\frac{f(t)}{R(t)}=\frac{\tfrac{1}{t\cdot {{\sigma&#039; }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{{t}&#039;-{\mu }&#039;}{{{\sigma&#039; }}})}^{2}}}}}{\int_{{{t}&#039;}}^{\infty }\tfrac{1}{{{\sigma&#039; }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{x-{\mu }&#039;}{{{\sigma&#039; }}})}^{2}}}}dx}&amp;lt;/math&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;As with the reliability equations, standard normal tables will be required to solve for this function.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Richard House</name></author>
	</entry>
	<entry>
		<id>https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=15296&amp;oldid=prev</id>
		<title>Harry Guo: /* The Lognormal Failure Rate Function */</title>
		<link rel="alternate" type="text/html" href="https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=15296&amp;oldid=prev"/>
		<updated>2012-02-13T17:07:08Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;The Lognormal Failure Rate Function&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:07, 13 February 2012&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-l3&quot;&gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;T&lt;/del&gt;)=\frac{f(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;T&lt;/del&gt;)}{R(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;T&lt;/del&gt;)}=\frac{\tfrac{1}{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;T&lt;/del&gt;\cdot {{\sigma &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}_{{{T}&lt;/del&gt;&#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;T&lt;/del&gt;}&#039;-{\mu }&#039;}{{{\sigma &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}_{{{T}&lt;/del&gt;&#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;}}})}^{2}}}}}{\int_{{{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;T&lt;/del&gt;}&#039;}}^{\infty }\tfrac{1}{{{\sigma &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}_{{{T}&lt;/del&gt;&#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t&lt;/del&gt;-{\mu }&#039;}{{{\sigma &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}_{{{T}&lt;/del&gt;&#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;}}})}^{2}}}}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dt&lt;/del&gt;}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t&lt;/ins&gt;)=\frac{f(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t&lt;/ins&gt;)}{R(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t&lt;/ins&gt;)}=\frac{\tfrac{1}{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t&lt;/ins&gt;\cdot {{\sigma&#039; }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t&lt;/ins&gt;}&#039;-{\mu }&#039;}{{{\sigma&#039; }}})}^{2}}}}}{\int_{{{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t&lt;/ins&gt;}&#039;}}^{\infty }\tfrac{1}{{{\sigma&#039; }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;x&lt;/ins&gt;-{\mu }&#039;}{{{\sigma&#039; }}})}^{2}}}}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dx&lt;/ins&gt;}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;As with the reliability equations, standard normal tables will be required to solve for this function.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;As with the reliability equations, standard normal tables will be required to solve for this function.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Harry Guo</name></author>
	</entry>
	<entry>
		<id>https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=15259&amp;oldid=prev</id>
		<title>Harry Guo: moved Template:Ld lognormal failure rate function to Template:Lognormal distribution failure rate function</title>
		<link rel="alternate" type="text/html" href="https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=15259&amp;oldid=prev"/>
		<updated>2012-02-13T16:17:06Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/index.php/Template:Ld_lognormal_failure_rate_function&quot; class=&quot;mw-redirect&quot; title=&quot;Template:Ld lognormal failure rate function&quot;&gt;Template:Ld lognormal failure rate function&lt;/a&gt; to &lt;a href=&quot;/index.php/Template:Lognormal_distribution_failure_rate_function&quot; class=&quot;mw-redirect&quot; title=&quot;Template:Lognormal distribution failure rate function&quot;&gt;Template:Lognormal distribution failure rate function&lt;/a&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:17, 13 February 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&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>Harry Guo</name></author>
	</entry>
	<entry>
		<id>https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=11058&amp;oldid=prev</id>
		<title>Nicolette Young: Created page with &#039;===The Lognormal Failure Rate Function=== The lognormal failure rate is given by:   ::&lt;math&gt;\lambda (T)=\frac{f(T)}{R(T)}=\frac{\tfrac{1}{T\cdot {{\sigma }_{{{T}&#039;}}}\sqrt{2\pi }}…&#039;</title>
		<link rel="alternate" type="text/html" href="https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_failure_rate_function&amp;diff=11058&amp;oldid=prev"/>
		<updated>2012-01-04T18:21:56Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;===The Lognormal Failure Rate Function=== The lognormal failure rate is given by:   ::&amp;lt;math&amp;gt;\lambda (T)=\frac{f(T)}{R(T)}=\frac{\tfrac{1}{T\cdot {{\sigma }_{{{T}&amp;#039;}}}\sqrt{2\pi }}…&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;===The Lognormal Failure Rate Function===&lt;br /&gt;
The lognormal failure rate is given by:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;\lambda (T)=\frac{f(T)}{R(T)}=\frac{\tfrac{1}{T\cdot {{\sigma }_{{{T}&amp;#039;}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{{T}&amp;#039;-{\mu }&amp;#039;}{{{\sigma }_{{{T}&amp;#039;}}}})}^{2}}}}}{\int_{{{T}&amp;#039;}}^{\infty }\tfrac{1}{{{\sigma }_{{{T}&amp;#039;}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{(\tfrac{t-{\mu }&amp;#039;}{{{\sigma }_{{{T}&amp;#039;}}}})}^{2}}}}dt}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
As with the reliability equations, standard normal tables will be required to solve for this function.&lt;/div&gt;</summary>
		<author><name>Nicolette Young</name></author>
	</entry>
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