Template:Weibull conditional reliability function - Revision history

Richard House: Redirected page to Weibull Distribution Functions

2012-08-13T01:47:36Z

Redirected page to Weibull Distribution Functions

← Older revision		Revision as of 01:47, 13 August 2012
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	~~=== The~~ Weibull ~~Conditional Reliability Function ===~~		#REDIRECT [[Weibull Distribution Functions]]

	~~The 3-parameter Weibull conditional reliability function is given by:~~

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

	~~or:~~

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

	These gives the reliability for a new mission of <math> t \,\!</math> duration, having already accumulated <math> T \,\!</math> time 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 or units already accumulated hours of operation successfully.

Chris Kahn: /* The Weibull Conditional Reliability Function */

2012-04-24T22:54:43Z

The Weibull Conditional Reliability Function

← Older revision		Revision as of 22:54, 24 April 2012
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	=== The Weibull Conditional Reliability Function ===		=== The Weibull Conditional Reliability Function ===

	The ~~three~~-parameter Weibull conditional reliability function is given by:		The 3-parameter Weibull conditional reliability function is given by:

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

Harry Guo: /* The Weibull Conditional Reliability Function */

2012-02-09T21:31:48Z

The Weibull Conditional Reliability Function

← Older revision		Revision as of 21:31, 9 February 2012
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	::<math> R(t\|T)={ \frac{R(T+t)}{R(T)}}={\frac{e^{-\left( {\frac{T+t-\gamma }{\eta }}\right) ^{\beta }}}{e^{-\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta }}}} </math>		::<math> R(t\|T)={ \frac{R(T+t)}{R(T)}}={\frac{e^{-\left( {\frac{T+t-\gamma }{\eta }}\right) ^{\beta }}}{e^{-\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta }}}} </math>

	:or:		or:

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

	These gives the reliability for a new mission of <math> t \,\!</math> duration, having already accumulated <math> T \,\!</math> time 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 or units already accumulated hours of operation successfully.		These gives the reliability for a new mission of <math> t \,\!</math> duration, having already accumulated <math> T \,\!</math> time 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 or units already accumulated hours of operation successfully.

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

2012-01-04T16:34:14Z

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

New page

=== The Weibull Conditional Reliability Function ===

The three-parameter Weibull conditional reliability function is given by:

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

:or:

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

These gives the reliability for a new mission of <math> t \,\!</math> duration, having already accumulated <math> T \,\!</math> time 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 or units already accumulated hours of operation successfully.

Template:Weibull conditional reliability function - Revision history

Richard House: Redirected page to Weibull Distribution Functions

Chris Kahn: /* The Weibull Conditional Reliability Function */

Harry Guo: /* The Weibull Conditional Reliability Function */

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

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