Template:Example:Eyring - Revision history

Kate Racaza: Redirected page to Eyring Example

2012-08-14T01:27:20Z

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	#REDIRECT [[~~PAGE_NAME~~]]		#REDIRECT [[Eyring_Example]]

Kate Racaza: Redirected page to PAGE NAME

2012-08-14T01:27:05Z

Redirected page to PAGE NAME

← Older revision		Revision as of 01:27, 14 August 2012
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			#REDIRECT [[PAGE_NAME]]
	~~===Eyring-Weibull Example===~~

	~~Consider the following times-to-failure data at three different stress levels.~~

	[[~~Image:6stresstimefailed.png\|center\|300px\|''Pdf'' of the lognormal distribution with different log-std values.~~]]

	~~The data set was analyzed jointly and with a complete MLE solution over the entire data set using ReliaSoft's ALTA yielding:~~

	~~::<math>\widehat{\beta }=4.29186497</math>~~

	~~::<math>\widehat{A}=-11.08784624</math>~~

	~~::<math>\widehat{B}=1454.08635742</math>~~

	Once the parameters of the model are defined, other life measures can be directly obtained using the appropriate equations. For example, the MTTF can be obtained for the use stress level of 323K using:

	~~::<math>\overline{T}=\frac{1}{V}{{e}^{-\left( A-\tfrac{B}{V} \right)}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>~~

	~~or:~~

	~~::<math>\begin{align}~~
	~~& \overline{T}= & \frac{1}{323}{{e}^{-\left( -11.08784624-\tfrac{1454.08635742}{323} \right)}}\cdot \Gamma \left( \frac{1}{4.29186497}+1 \right) =16,610\text{ }hr~~
	~~\end{align}</math>~~

Richard House: /* Eyring-Weibull Example */

2012-08-09T01:25:12Z

Eyring-Weibull Example

← Older revision		Revision as of 01:25, 9 August 2012
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	===Eyring-Weibull Example===		===Eyring-Weibull Example===
	~~<br>~~

	Consider the following times-to-failure data at three different stress levels.		Consider the following times-to-failure data at three different stress levels.
	~~<br>~~

	~~<br>~~
	~~<br>~~
	[[Image:6stresstimefailed.png\|center\|300px\|''Pdf'' of the lognormal distribution with different log-std values.]]		[[Image:6stresstimefailed.png\|center\|300px\|''Pdf'' of the lognormal distribution with different log-std values.]]
	~~<br>~~
	~~<br>~~
	The data set was analyzed jointly and with a complete MLE solution over the entire data set using ReliaSoft's ALTA yielding:		The data set was analyzed jointly and with a complete MLE solution over the entire data set using ReliaSoft's ALTA yielding:

	~~<br>~~
	::<math>\widehat{\beta }=4.29186497</math>		::<math>\widehat{\beta }=4.29186497</math>

	~~<br>~~
	::<math>\widehat{A}=-11.08784624</math>		::<math>\widehat{A}=-11.08784624</math>

	~~<br>~~
	::<math>\widehat{B}=1454.08635742</math>		::<math>\widehat{B}=1454.08635742</math>

	~~<br>~~
	Once the parameters of the model are defined, other life measures can be directly obtained using the appropriate equations. For example, the MTTF can be obtained for the use stress level of 323K using:		Once the parameters of the model are defined, other life measures can be directly obtained using the appropriate equations. For example, the MTTF can be obtained for the use stress level of 323K using:

	~~<br>~~
	::<math>\overline{T}=\frac{1}{V}{{e}^{-\left( A-\tfrac{B}{V} \right)}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>		::<math>\overline{T}=\frac{1}{V}{{e}^{-\left( A-\tfrac{B}{V} \right)}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>

	~~<br>~~
	or:		or:

	~~<br>~~
	::<math>\begin{align}		::<math>\begin{align}
	& \overline{T}= & \frac{1}{323}{{e}^{-\left( -11.08784624-\tfrac{1454.08635742}{323} \right)}}\cdot \Gamma \left( \frac{1}{4.29186497}+1 \right) =16,610\text{ }hr		& \overline{T}= & \frac{1}{323}{{e}^{-\left( -11.08784624-\tfrac{1454.08635742}{323} \right)}}\cdot \Gamma \left( \frac{1}{4.29186497}+1 \right) =16,610\text{ }hr
	\end{align}</math>		\end{align}</math>

	~~<br>~~

Chris Kahn: /* Eyring-Weibull Example */

2012-06-25T10:12:38Z

Eyring-Weibull Example

← Older revision		Revision as of 10:12, 25 June 2012
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	<br>		<br>
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	[[Image:6stresstimefailed.png\|center\|~~250px~~\|''Pdf'' of the lognormal distribution with different log-std values.]]		[[Image:6stresstimefailed.png\|center\|300px\|''Pdf'' of the lognormal distribution with different log-std values.]]
	<br>		<br>
	<br>		<br>

Chris Kahn: /* Eyring-Weibull Example */

2012-06-22T15:15:30Z

Eyring-Weibull Example

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	<br>		<br>
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	[[Image:6stresstimefailed.png\|center\|~~175px~~\|''Pdf'' of the lognormal distribution with different log-std values.]]		[[Image:6stresstimefailed.png\|center\|250px\|''Pdf'' of the lognormal distribution with different log-std values.]]
	<br>		<br>
	<br>		<br>

Chuck Smith: /* Eyring-Weibull Example */

2012-04-26T15:56:22Z

Eyring-Weibull Example

← Older revision		Revision as of 15:56, 26 April 2012
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	<br>		<br>
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	[[Image:6stresstimefailed.png\|center\|~~350px~~\|''Pdf'' of the lognormal distribution with different log-std values.]]		[[Image:6stresstimefailed.png\|center\|175px\|''Pdf'' of the lognormal distribution with different log-std values.]]
	<br>		<br>
	<br>		<br>

Nicolette Young: /* Eyring-Weibull Example */

2012-04-03T16:57:13Z

Eyring-Weibull Example

← Older revision		Revision as of 16:57, 3 April 2012
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	<br>		<br>
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	[[Image:6stresstimefailed.png\|center\|~~400px~~\|''Pdf'' of the lognormal distribution with different log-std values.]]		[[Image:6stresstimefailed.png\|center\|350px\|''Pdf'' of the lognormal distribution with different log-std values.]]
	<br>		<br>
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Nikki Helms at 21:07, 21 March 2012

2012-03-21T21:07:57Z

← Older revision		Revision as of 21:07, 21 March 2012
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	~~[[Eyring-Weibull Example]]~~
	===Eyring-Weibull Example===		===Eyring-Weibull Example===
	<br>		<br>

Nikki Helms at 21:05, 21 March 2012

2012-03-21T21:05:07Z

← Older revision		Revision as of 21:05, 21 March 2012
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			[[Eyring-Weibull Example]]
	===Eyring-Weibull Example===		===Eyring-Weibull Example===
	<br>		<br>

Nicolette Young: /* Eyring-Weibull Example */

2012-03-20T17:32:06Z

Eyring-Weibull Example

← Older revision		Revision as of 17:32, 20 March 2012
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	<br>		<br>
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	[[Image:6stresstimefailed.~~gif\|thumb~~\|center\|~~300px~~\|''Pdf'' of the lognormal distribution with different log-std values.]]		[[Image:6stresstimefailed.png\|center\|400px\|''Pdf'' of the lognormal distribution with different log-std values.]]
	<br>		<br>
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