Template:GumbelDistribution - Revision history

Lisa Hacker: Redirected page to The Gumbel/SEV Distribution

2012-08-09T09:41:01Z

Redirected page to The Gumbel/SEV Distribution

← Older revision		Revision as of 09:41, 9 August 2012
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	[[~~Category: For Deletion~~]]		#REDIRECT [[The_Gumbel/SEV_Distribution]]

Lisa Hacker: Replaced content with 'Category: For Deletion'

2012-07-20T12:21:55Z

Replaced content with 'Category: For Deletion'

← Older revision		Revision as of 12:21, 20 July 2012
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	~~=== The Gumbel Distribution ===~~		[[Category: For Deletion]]

	The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (e.g., few weak units fail under low stress, while the rest fail at higher stresses). The Gumbel distribution could also be appropriate for modeling the life of products that experience very quick wear out after reaching a certain age. <br>

	~~The <span class="texhtml">''pdf''</span> of the Gumbel distribution is given by:~~

	~~::<math>\begin{align}~~
	~~f(t)= & \frac{1}{\sigma }{{e}^{z-{e^z}}} \\~~
	~~z= &\frac{t-\mu }{\sigma } \\~~
	~~f(t)\ge & 0,\sigma >0~~
	~~\end{align}</math>~~

	~~<br>where,~~

	~~::<math>\begin{align}~~
	~~\mu = & \text{location parameter} \\~~
	~~\sigma = & \text{scale parameter}~~
	~~\end{align}</math>~~

	~~The Gumbel distribution and its characteristics are presented in~~ [[~~The Gumbel/SEV Distribution~~]]~~. <br>~~

Lisa Hacker: /* The Gumbel Distribution */

2012-03-30T21:49:02Z

The Gumbel Distribution

← Older revision		Revision as of 21:49, 30 March 2012
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	\end{align}</math>		\end{align}</math>

	The Gumbel distribution and its characteristics are presented ~~in detail~~ in [[The Gumbel/SEV Distribution]]. <br>		The Gumbel distribution and its characteristics are presented in [[The Gumbel/SEV Distribution]]. <br>

Lisa Hacker: /* The Gumbel Distribution */

2012-03-30T21:33:13Z

The Gumbel Distribution

← Older revision		Revision as of 21:33, 30 March 2012
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	\end{align}</math>		\end{align}</math>

	The Gumbel distribution and its characteristics are presented in detail in ~~the chapter~~ [[The Gumbel/SEV Distribution]]. <br>		The Gumbel distribution and its characteristics are presented in detail in [[The Gumbel/SEV Distribution]]. <br>

Kate Racaza at 16:14, 12 March 2012

2012-03-12T16:14:37Z

← Older revision		Revision as of 16:14, 12 March 2012
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	===The Gumbel Distribution===		=== The Gumbel Distribution ===
	The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (few weak units fail under low stress, while the rest fail at higher stresses). The Gumbel distribution could also be appropriate for modeling the life of products that experience very quick wear out after reaching a certain age.
	<br>		The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (e.g., few weak units fail under low stress, while the rest fail at higher stresses). The Gumbel distribution could also be appropriate for modeling the life of products that experience very quick wear out after reaching a certain age. <br>

			The <span class="texhtml">''pdf''</span> of the Gumbel distribution is given by:

	~~The <math>pdf</math> of the Gumbel distribution is given by:~~
	::<math>\begin{align}		::<math>\begin{align}
	f(t)= & \frac{1}{\sigma }{{e}^{z-{e^z}}} \\		f(t)= & \frac{1}{\sigma }{{e}^{z-{e^z}}} \\
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	f(t)\ge & 0,\sigma >0		f(t)\ge & 0,\sigma >0
	\end{align}</math>		\end{align}</math>
	<br>
	where,		<br>where,

	::<math>\begin{align}		::<math>\begin{align}
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	\end{align}</math>		\end{align}</math>

	The Gumbel distribution and its characteristics are presented in ~~more~~ detail in ~~Chapter~~ [[The Gumbel/SEV Distribution]].		The Gumbel distribution and its characteristics are presented in detail in the chapter [[The Gumbel/SEV Distribution]]. <br>
	<br>

Harry Guo: /* The Gumbel Distribution */

2012-02-10T23:58:54Z

The Gumbel Distribution

← Older revision		Revision as of 23:58, 10 February 2012
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	\end{align}</math>		\end{align}</math>

	The Gumbel distribution and its characteristics are presented in more detail in [[The Gumbel/SEV Distribution ~~\| Chapter 16~~]].		The Gumbel distribution and its characteristics are presented in more detail in Chapter [[The Gumbel/SEV Distribution]].
	<br>		<br>

Harry Guo: /* The Gumbel Distribution */

2012-02-03T23:14:37Z

The Gumbel Distribution

← Older revision		Revision as of 23:14, 3 February 2012
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	\end{align}</math>		\end{align}</math>
	<br>		<br>
	:where,		where,

	::<math>\begin{align}		::<math>\begin{align}

Harry Guo: /* The Gumbel Distribution */

2012-02-03T21:27:17Z

The Gumbel Distribution

← Older revision		Revision as of 21:27, 3 February 2012
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	f(t)= & \frac{1}{\sigma }{{e}^{z-{e^z}}} \\		f(t)= & \frac{1}{\sigma }{{e}^{z-{e^z}}} \\
	z= &\frac{t-\mu }{\sigma } \\		z= &\frac{t-\mu }{\sigma } \\
	f(T)\ge & 0,\sigma >0		f(t)\ge & 0,\sigma >0
	\end{align}</math>		\end{align}</math>
	<br>		<br>
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	\end{align}</math>		\end{align}</math>

	The Gumbel distribution and its characteristics are presented in more detail in Chapter 10.		The Gumbel distribution and its characteristics are presented in more detail in [[The Gumbel/SEV Distribution \| Chapter 16]].
	<br>		<br>

Nicolette Young: Created page with '===The Gumbel Distribution=== The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. Th…'

2012-01-03T23:12:42Z

Created page with '===The Gumbel Distribution=== The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. Th…'

New page

===The Gumbel Distribution===
The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (few weak units fail under low stress, while the rest fail at higher stresses). The Gumbel distribution could also be appropriate for modeling the life of products that experience very quick wear out after reaching a certain age.
<br>

The <math>pdf</math> of the Gumbel distribution is given by:
::<math>\begin{align}
f(t)= & \frac{1}{\sigma }{{e}^{z-{e^z}}} \\
z= &\frac{t-\mu }{\sigma } \\
f(T)\ge & 0,\sigma >0
\end{align}</math>
<br>
:where,

::<math>\begin{align}
\mu = & \text{location parameter} \\
\sigma = & \text{scale parameter}
\end{align}</math>

The Gumbel distribution and its characteristics are presented in more detail in Chapter 10.
<br>