ALTA ALTA Standard Folio Data PPH-Exponential - Revision history

Richard House: Redirected page to Template:WebNotes/ALTAALTA Standard Folio Data PHazards

2015-07-08T19:55:19Z

Redirected page to Template:WebNotes/ALTAALTA Standard Folio Data PHazards

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	Introduced by D. R. Cox, the Proportional Hazards (PH) model was developed in order to estimate the effects of different covariates influencing the times-to-failure of a system. The model has been widely used in the biomedical field, and recently there has been an increasing interest in its application in reliability engineering. In its original form, the model is non-parametric, i.e. no assumptions are made about the nature or shape of the underlying failure distribution. In ALTA, the proportional hazards model is included in its parametric form and can be used to analyze data with up to eight variables.

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Lisa Hacker at 03:53, 26 July 2012

2012-07-26T03:53:48Z

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 Introduced by D. R. Cox, the Proportional Hazards (PH) model was developed in order to estimate the effects of different covariates influencing the times-to-failure of a system. The model has been widely used in the biomedical field, and recently there has been an increasing interest in its application in reliability engineering. In its original form, the model is non-parametric, i.e. no assumptions are made about the nature or shape of the underlying failure distribution.  In ALTA, the proportional hazards model is included in its parametric form and can be used to analyze data with up to eight variables.
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Athanasios Gerokostopoulos at 18:38, 16 April 2012

2012-04-16T18:38:45Z

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	\| valign="middle" \|{{Font\|Standard Folio ~~Data PPH~~-Exponential\|11\|tahoma\|bold\|gray}}		\| valign="middle" \|{{Font\|Standard Folio Proportional Hazards-Exponential\|11\|tahoma\|bold\|gray}}
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	~~The ALTA standard folio is used to perform quantitative accelerated life testing data analysis~~. ~~In this analysis~~, the ~~engineer extrapolates a product’s failure behavior at normal conditions from life data obtained at accelerated stress levels. Since products fail more quickly at accelerated stress levels, this sort~~ of ~~analysis allows~~ the ~~engineer~~ to ~~obtain reliability information about~~ a ~~product (e~~.g., ~~mean life~~, ~~probability~~ of failure ~~at a specific time~~, ~~etc.)~~ in ~~a shorter time~~.		Introduced by D. R. Cox, the Proportional Hazards (PH) model was developed in order to estimate the effects of different covariates influencing the times-to-failure of a system. The model has been widely used in the biomedical field, and recently there has been an increasing interest in its application in reliability engineering. In its original form, the model is non-parametric, i.e. no assumptions are made about the nature or shape of the underlying failure distribution. In ALTA, the proportional hazards model is included in its parametric form and can be used to analyze data with up to eight variables.
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Nikki Helms at 20:58, 22 March 2012

2012-03-22T20:58:10Z

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	\| [[Image:Book blue.png]]		\| [[Image:Book blue.png]]
	\| [http://reliawiki.~~com~~/index.php/~~Template~~:~~PH_Model~~ the theory textbook...]		\| [http://reliawiki.org/index.php/Multivariable_Relationships:_General_Log-Linear_and_Proportional_Hazards the theory textbook...]
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Nikki Helms at 22:43, 21 March 2012

2012-03-21T22:43:59Z

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	\| [http://~~www.~~reliawiki.com/index.php/~~Temporary_needs_example_page~~ use example(s)...]		\| [http://reliawiki.com/index.php/Proportional_Hazards_Medical_Data_Example use example(s)...]
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Nikki Helms at 20:55, 21 March 2012

2012-03-21T20:55:50Z

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	~~Content 1~~		The ALTA standard folio is used to perform quantitative accelerated life testing data analysis. In this analysis, the engineer extrapolates a product’s failure behavior at normal conditions from life data obtained at accelerated stress levels. Since products fail more quickly at accelerated stress levels, this sort of analysis allows the engineer to obtain reliability information about a product (e.g., mean life, probability of failure at a specific time, etc.) in a shorter time.
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Nikki Helms at 23:07, 7 March 2012

2012-03-07T23:07:51Z

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Nikki Helms at 23:05, 7 March 2012

2012-03-07T23:05:21Z

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Nikki Helms at 23:02, 7 March 2012

2012-03-07T23:02:11Z

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	~~Oh hey... heard you were having a long day, thought I'd tell you you're very special to me.... and I was like baby... baby... baby oh. ;)~~

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Nicolette Young at 22:41, 7 March 2012

2012-03-07T22:41:21Z

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	~~A parametric form of the proportional hazards model can be obtained by assuming an underlying distribution~~. ~~In ALTA PRO~~, ~~the Weibull~~ and ~~exponential distributions are available~~. ~~In this section we will consider the Weibull distribution to formulate the parametric proportional hazards model~~. ~~In other words, it is assumed that the baseline failure rate in Eqn~~. ~~(Prop~~. ~~Failure Rate) is parametric and given by the Weibull distribution~~. ~~In this case, the baseline failure rate is given by:~~		Oh hey... heard you were having a long day, thought I'd tell you you're very special to me.... and I was like baby... baby... baby oh. ;)
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	~~<math>{{\lambda }_{0}}(t~~)~~=\frac{\beta }{\eta }{{\left( \frac{t}{\eta } \right)}^{\beta -1}}</math>~~		[[Image:bebers.jpg\|center\|200px]]
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	~~The PH failure rate then becomes~~:
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	~~<math>\lambda (t,\underline{X})=\frac{\beta }{\eta }{{\left( \frac{t}{\eta } \right)}^{\beta -1}}\cdot {{e}^{\mathop{}_{j=1}^{m}{{a}_{j}}{{x}_{j}}}}</math>~~
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	\| valign="middle" \| [http://reliawiki.com/index.php/Template:PH_Model PH Model]		\| valign="middle" \| [http://reliawiki.com/index.php/Template:PH_Model PH Model]