Template:Eyring-log sd - Revision history

Richard House: Redirected page to Eyring Relationship#Eyring-Lognormal

2012-08-16T23:36:15Z

Redirected page to Eyring Relationship#Eyring-Lognormal

← Older revision		Revision as of 23:36, 16 August 2012
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	~~====The Standard Deviation====~~		#REDIRECT [[Eyring_Relationship#Eyring-Lognormal]]
	~~<br>~~
	~~The standard deviation of the~~ Eyring-~~lognormal model (standard deviation of the times-to-failure), <math>{{\sigma }_{T}}</math> , is given by:~~

	~~<br>~~
	~~::<math>\begin{align}~~
	& {{\sigma }_{T}}= & \sqrt{\left( {{e}^{2\bar{{T}'}+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)} =\ \sqrt{\left( {{e}^{2\left( -\ln (V)-A+\tfrac{B}{V} \right)+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)}
	~~\end{align}</math>~~

	~~<br>~~
	~~The standard deviation of the natural logarithms of the times-to-failure, <math>{{\sigma }_{{{T}'}}}</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma }_{T}}</math> is given by:~~

	~~<br>~~
	~~::<math>{{\sigma }_{{{T}'}}}=\sqrt{\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)}</math>~~

	~~<br>~~

Chris Kahn: /* The Standard Deviation */

2012-03-09T18:01:05Z

The Standard Deviation

← Older revision		Revision as of 18:01, 9 March 2012
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	====The Standard Deviation====		====The Standard Deviation====
	<br>		<br>
	• The standard deviation of the Eyring-lognormal model (standard deviation of the times-to-failure), <math>{{\sigma }_{T}}</math> , is given by:		The standard deviation of the Eyring-lognormal model (standard deviation of the times-to-failure), <math>{{\sigma }_{T}}</math> , is given by:

	<br>		<br>
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	<br>		<br>
	• The standard deviation of the natural logarithms of the times-to-failure, <math>{{\sigma }_{{{T}'}}}</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma }_{T}}</math> is given by:		The standard deviation of the natural logarithms of the times-to-failure, <math>{{\sigma }_{{{T}'}}}</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma }_{T}}</math> is given by:

	<br>		<br>

Athanasios Gerokostopoulos: /* The Standard Deviation */

2012-02-27T23:52:19Z

The Standard Deviation

← Older revision		Revision as of 23:52, 27 February 2012
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	<br>		<br>
	::<math>{{\sigma }_{{{T}'}}}=\sqrt{\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)}</math>		::<math>{{\sigma }_{{{T}'}}}=\sqrt{\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)}</math>

			<br>

Athanasios Gerokostopoulos: /* The Standard Deviation */

2012-02-14T23:12:05Z

The Standard Deviation

← Older revision		Revision as of 23:12, 14 February 2012
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	<br>		<br>
	::<math>\begin{align}		::<math>\begin{align}
	& {{\sigma }_{T}}= & \sqrt{\left( {{e}^{2\bar{{T}'}+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)} \\		& {{\sigma }_{T}}= & \sqrt{\left( {{e}^{2\bar{{T}'}+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)} =\ \sqrt{\left( {{e}^{2\left( -\ln (V)-A+\tfrac{B}{V} \right)+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)}
	~~& = &~~ \sqrt{\left( {{e}^{2\left( -\ln (V)-A+\tfrac{B}{V} \right)+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)}
	\end{align}</math>		\end{align}</math>

Nicolette Young: Created page with '====The Standard Deviation====
• The standard deviation of the Eyring-lognormal model (standard deviation of the times-to-failure), ${{\sigma }_{T}}$ , is give…'

2012-01-12T23:04:30Z

Created page with '====The Standard Deviation==== • The standard deviation of the Eyring-lognormal model (standard deviation of the times-to-failure), <math>{{\sigma }_{T}}</math> , is give…'

New page

====The Standard Deviation====
 
• The standard deviation of the Eyring-lognormal model (standard deviation of the times-to-failure), <math>{{\sigma }_{T}}</math> , is given by:

 
::<math>\begin{align}
& {{\sigma }_{T}}= & \sqrt{\left( {{e}^{2\bar{{T}'}+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)} \\
& = & \sqrt{\left( {{e}^{2\left( -\ln (V)-A+\tfrac{B}{V} \right)+\sigma _{{{T}'}}^{2}}} \right)\left( {{e}^{\sigma _{{{T}'}}^{2}}}-1 \right)}
\end{align}</math>

 
• The standard deviation of the natural logarithms of the times-to-failure, <math>{{\sigma }_{{{T}'}}}</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma }_{T}}</math> is given by:

 
::<math>{{\sigma }_{{{T}'}}}=\sqrt{\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)}</math>

Template:Eyring-log sd - Revision history

Richard House: Redirected page to Eyring Relationship#Eyring-Lognormal

Chris Kahn: /* The Standard Deviation */

Athanasios Gerokostopoulos: /* The Standard Deviation */

Athanasios Gerokostopoulos: /* The Standard Deviation */

Nicolette Young: Created page with '====The Standard Deviation==== • The standard deviation of the Eyring-lognormal model (standard deviation of the times-to-failure), {{\sigma }_{T}} , is give…'

Nicolette Young: Created page with '====The Standard Deviation====
• The standard deviation of the Eyring-lognormal model (standard deviation of the times-to-failure), ${{\sigma }_{T}}$ , is give…'