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Richard House: Redirected page to Distributions Used in Accelerated Testing#The Weibull Distribution

2012-08-16T01:52:45Z

Redirected page to Distributions Used in Accelerated Testing#The Weibull Distribution

← Older revision		Revision as of 01:52, 16 August 2012
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	#REDIRECT [[Distributions_Used_in_Accelerated_Testing]]		#REDIRECT [[Distributions_Used_in_Accelerated_Testing#The_Weibull_Distribution]]

Lisa Hacker: Redirected page to Distributions Used in Accelerated Testing

2012-08-09T10:15:34Z

Redirected page to Distributions Used in Accelerated Testing

← Older revision		Revision as of 10:15, 9 August 2012
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	~~====The Conditional Reliability Function====~~		#REDIRECT [[Distributions_Used_in_Accelerated_Testing]]
	~~The Weibull conditional reliability function is given by:~~


	~~::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}}}}{{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}}}</math>~~


	~~or:~~

	~~::<math>R(T,t)={{e}^{-\left~~[ ~~{{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}-{{\left( \tfrac{T}{\eta } \right)}^{\beta }} \right~~]~~}}</math>~~


	The above equation gives the reliability for a new mission of <math>t</math> duration, having already accumulated <math>T</math> hours of operation up to the start of this new mission, and the units are checked out to assure that they will start the next mission successfully. (It is called conditional because you can calculate the reliability of a new mission based on the fact that the unit(s) already accumulated <math>T</math> hours of operation successfully.)

	~~<br>~~

Athanasios Gerokostopoulos: /* The Conditional Reliability Function */

2012-02-27T22:34:19Z

The Conditional Reliability Function

← Older revision		Revision as of 22:34, 27 February 2012
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	====The Conditional Reliability Function====		====The Conditional Reliability Function====
	The Weibull conditional reliability function is given by:		The Weibull conditional reliability function is given by:


	::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}}}}{{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}}}</math>		::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}}}}{{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}}}</math>

	:or:
			or:

	::<math>R(T,t)={{e}^{-\left[ {{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}-{{\left( \tfrac{T}{\eta } \right)}^{\beta }} \right]}}</math>		::<math>R(T,t)={{e}^{-\left[ {{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}-{{\left( \tfrac{T}{\eta } \right)}^{\beta }} \right]}}</math>


	The above equation gives the reliability for a new mission of <math>t</math> duration, having already accumulated <math>T</math> hours of operation up to the start of this new mission, and the units are checked out to assure that they will start the next mission successfully. (It is called conditional because you can calculate the reliability of a new mission based on the fact that the unit(s) already accumulated <math>T</math> hours of operation successfully.)		The above equation gives the reliability for a new mission of <math>t</math> duration, having already accumulated <math>T</math> hours of operation up to the start of this new mission, and the units are checked out to assure that they will start the next mission successfully. (It is called conditional because you can calculate the reliability of a new mission based on the fact that the unit(s) already accumulated <math>T</math> hours of operation successfully.)

			<br>

Athanasios Gerokostopoulos: /* The Conditional Reliability Function */

2012-02-06T23:58:08Z

The Conditional Reliability Function

← Older revision		Revision as of 23:58, 6 February 2012
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	::<math>R(T,t)={{e}^{-\left[ {{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}-{{\left( \tfrac{T}{\eta } \right)}^{\beta }} \right]}}</math>		::<math>R(T,t)={{e}^{-\left[ {{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}-{{\left( \tfrac{T}{\eta } \right)}^{\beta }} \right]}}</math>

	~~Eqn. (e137)~~ gives the reliability for a new mission of <math>t</math> duration, having already accumulated <math>T</math> hours of operation up to the start of this new mission, and the units are checked out to assure that they will start the next mission successfully. (It is called conditional because you can calculate the reliability of a new mission based on the fact that the unit(s) already accumulated <math>T</math> hours of operation successfully.)		The above equation gives the reliability for a new mission of <math>t</math> duration, having already accumulated <math>T</math> hours of operation up to the start of this new mission, and the units are checked out to assure that they will start the next mission successfully. (It is called conditional because you can calculate the reliability of a new mission based on the fact that the unit(s) already accumulated <math>T</math> hours of operation successfully.)

Nicolette Young: Created page with '====The Conditional Reliability Function==== The Weibull conditional reliability function is given by: :: $R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta…'$

2012-01-12T18:43:51Z

Created page with '====The Conditional Reliability Function==== The Weibull conditional reliability function is given by: ::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta…'

New page

====The Conditional Reliability Function====
The Weibull conditional reliability function is given by:

::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}}}}{{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}}}</math>

:or:

::<math>R(T,t)={{e}^{-\left[ {{\left( \tfrac{T+t}{\eta } \right)}^{\beta }}-{{\left( \tfrac{T}{\eta } \right)}^{\beta }} \right]}}</math>

Eqn. (e137) gives the reliability for a new mission of <math>t</math> duration, having already accumulated <math>T</math> hours of operation up to the start of this new mission, and the units are checked out to assure that they will start the next mission successfully. (It is called conditional because you can calculate the reliability of a new mission based on the fact that the unit(s) already accumulated <math>T</math> hours of operation successfully.)

Template:Aw crf - Revision history

Richard House: Redirected page to Distributions Used in Accelerated Testing#The Weibull Distribution

Lisa Hacker: Redirected page to Distributions Used in Accelerated Testing

Athanasios Gerokostopoulos: /* The Conditional Reliability Function */

Athanasios Gerokostopoulos: /* The Conditional Reliability Function */

Nicolette Young: Created page with '====The Conditional Reliability Function==== The Weibull conditional reliability function is given by: ::R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta…'

Nicolette Young: Created page with '====The Conditional Reliability Function==== The Weibull conditional reliability function is given by: :: $R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-{{\left( \tfrac{T+t}{\eta…'$