Arrhenius-Lognormal Model - Revision history

Kate Racaza at 18:20, 28 September 2015

2015-09-28T18:20:18Z

← Older revision		Revision as of 18:20, 28 September 2015
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	{{Reference Example\|{{Banner ALTA Reference Examples}}}}		{{Reference Example\|{{Banner ALTA Reference Examples}}}}
	This example ~~compares~~ the results for the Arrhenius life stress relationship with a Lognormal distribution.		This example validates the results for the Arrhenius life stress relationship with a Lognormal distribution in ALTA standard folios.

2014-06-13T16:38:13Z

← Older revision		Revision as of 16:38, 13 June 2014
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	{{Reference Example\|~~ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples~~}}		{{Reference Example\|{{Banner ALTA Reference Examples}}}}
	This example compares the results for the Arrhenius life stress relationship with a Lognormal distribution.		This example compares the results for the Arrhenius life stress relationship with a Lognormal distribution.

2014-06-13T15:36:41Z

2014-06-13T15:34:14Z

← Older revision		Revision as of 15:34, 13 June 2014
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	{{Reference_Example_Heading2}}		{{Reference_Example_Heading2}}

	Device-A was tested under several different temperature settings.		Device A was tested under several different temperature settings. The following table shows the data.

	{\| {{table}}		{\| {{table}}
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	where ''T'' is the temperature; <math>\,\!\beta _{1}</math> is the activation energy; <math>\,\!11605</math> is from reciprocal of the Boltzmann constant . This function can be written in the following way:		where ''T'' is the temperature; <math>\,\!\beta _{1}</math> is the activation energy; <math>\,\!11605</math> is from the reciprocal of the Boltzmann constant. This function can be written in the following way:

2014-06-11T18:20:47Z

← Older revision		Revision as of 18:20, 11 June 2014
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	{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}		{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}
	This example ~~validates~~ the ~~calculation~~ for the Arrhenius life stress relationship with a Lognormal distribution.		This example compares the results for the Arrhenius life stress relationship with a Lognormal distribution.

2014-06-10T22:43:01Z

← Older revision		Revision as of 22:43, 10 June 2014
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	*ML estimations for the model parameters are:		*ML estimations for the model parameters are:


	[[image:Arrhenius Lognormal_Analysis Summary.png\|center]]		[[image:Arrhenius Lognormal_Analysis Summary.png\|center]]
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	*The 95% confidence intervals are:		*The 95% confidence intervals are:


	[[image:Arrhenius Lognormal_Parameter Bounds.png\|center]]		[[image:Arrhenius Lognormal_Parameter Bounds.png\|center]]
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	The variance/covariance matrix for <math>\,\!\sigma</math> , <math>\,\!\alpha _{0}</math> and <math>\,\!\alpha _{1}</math> is:		The variance/covariance matrix for <math>\,\!\sigma</math> , <math>\,\!\alpha _{0}</math> and <math>\,\!\alpha _{1}</math> is:


	[[image:Arrhenius Lognormal_Var_Cov Results.png\|center]]		[[image:Arrhenius Lognormal_Var_Cov Results.png\|center]]

2014-06-10T21:43:00Z

2014-06-10T21:42:24Z

← Older revision		Revision as of 21:42, 10 June 2014
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	The variance/covariance matrix for , , and is:		The variance/covariance matrix for <math>\,\!\sigma</math> , <math>\,\!\alpha _{0}</math> and <math>\,\!\alpha _{1}</math> is:

2014-06-10T21:41:01Z

← Older revision		Revision as of 21:41, 10 June 2014
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	*ML estimations for the model parameters are:		*ML estimations for the model parameters are:


	[[image:Arrhenius Lognormal_Analysis Summary.png\|center]]		[[image:Arrhenius Lognormal_Analysis Summary.png\|center]]


			*The 95% confidence intervals are:


	[[image:Arrhenius Lognormal_Parameter Bounds.png\|center]]		[[image:Arrhenius Lognormal_Parameter Bounds.png\|center]]


			The variance/covariance matrix for , , and is:


	[[image:Arrhenius Lognormal_Var_Cov Results.png\|center]]		[[image:Arrhenius Lognormal_Var_Cov Results.png\|center]]


			*The log-likelihood value is -321.7.


			It can be seen that all the results in ALTA are very close to the results in the book.

2014-06-10T21:38:30Z

← Older revision		Revision as of 21:38, 10 June 2014
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	{{Reference_Example_Heading4\|ALTA}}		{{Reference_Example_Heading4\|ALTA}}

			*ML estimations for the model parameters are:

			[[image:Arrhenius Lognormal_Analysis Summary.png\|center]]


			[[image:Arrhenius Lognormal_Parameter Bounds.png\|center]]



			[[image:Arrhenius Lognormal_Var_Cov Results.png\|center]]