Template:Alta exponential reliability function - Revision history

Richard House: Redirected page to Distributions Used in Accelerated Testing

2012-08-16T01:22:19Z

Redirected page to Distributions Used in Accelerated Testing

← Older revision		Revision as of 01:22, 16 August 2012
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	~~==== The Reliability Function ====~~		#REDIRECT [[Distributions_Used_in_Accelerated_Testing]]

	~~The 1-parameter exponential reliability function is given by:~~

	~~<br>~~

	~~::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</math>~~

	~~<br> This function is the complement of the exponential cumulative distribution function, or:~~

	~~<br>~~

	~~::<math>R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT</math>~~

	~~<br> and:~~

	~~<br>~~

	~~::<math>R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>~~

	~~<br>~~

Chris Kahn at 22:32, 6 March 2012

2012-03-06T22:32:18Z

← Older revision		Revision as of 22:32, 6 March 2012
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	====The Reliability Function====		==== The Reliability Function ====
	The 1-parameter exponential reliability function is given by:
			The 1-parameter exponential reliability function is given by:

			<br>

	~~<br>~~
	::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</math>		::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</math>

	<br>		<br> This function is the complement of the exponential cumulative distribution function, or:
	This function is the complement of the exponential cumulative distribution function or:
			<br>

	~~<br>~~
	::<math>R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT</math>		::<math>R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT</math>

	<br>		<br> and:
	and:
			<br>

	~~<br>~~
	::<math>R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>		::<math>R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>

	<br>		<br>

Athanasios Gerokostopoulos: /* The Reliability Function */

2012-02-27T23:22:16Z

The Reliability Function

← Older revision		Revision as of 23:22, 27 February 2012
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	====The Reliability Function====		====The Reliability Function====
	The 1-parameter exponential reliability function is given by:		The 1-parameter exponential reliability function is given by:

	<br>		<br>
	::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</math>		::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</math>

	<br>		<br>
	This function is the complement of the exponential cumulative distribution function or:		This function is the complement of the exponential cumulative distribution function or:

	<br>		<br>
	::<math>R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT</math>		::<math>R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT</math>

	<br>		<br>
	:and:		and:

	<br>		<br>
	::<math>R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>		::<math>R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>

	<br>		<br>

Athanasios Gerokostopoulos: /* The Reliability Function */

2012-02-06T23:40:13Z

The Reliability Function

← Older revision		Revision as of 23:40, 6 February 2012
Line 6:		Line 6:
	This function is the complement of the exponential cumulative distribution function or:		This function is the complement of the exponential cumulative distribution function or:
	<br>		<br>
	::<math>R(T)=1-Q(T)=1-\~~mathop{}_~~{0}^{T}f(T)dT</math>		::<math>R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT</math>
	<br>		<br>
	:and:		:and:
	<br>		<br>
	::<math>R(T)=1-\~~mathop{}_~~{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>		::<math>R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>
	<br>		<br>

Nicolette Young: Created page with '====The Reliability Function==== The 1-parameter exponential reliability function is given by:
:: $R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}$
This functio…'

2012-01-12T18:11:05Z

Created page with '====The Reliability Function==== The 1-parameter exponential reliability function is given by: ::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</math> This functio…'

New page

====The Reliability Function====
The 1-parameter exponential reliability function is given by:
 
::<math>R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}</math>
 
This function is the complement of the exponential cumulative distribution function or:
 
::<math>R(T)=1-Q(T)=1-\mathop{}_{0}^{T}f(T)dT</math>
 
:and:
 
::<math>R(T)=1-\mathop{}_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>

Template:Alta exponential reliability function - Revision history

Richard House: Redirected page to Distributions Used in Accelerated Testing

Chris Kahn at 22:32, 6 March 2012

Athanasios Gerokostopoulos: /* The Reliability Function */

Athanasios Gerokostopoulos: /* The Reliability Function */

Nicolette Young: Created page with '====The Reliability Function==== The 1-parameter exponential reliability function is given by: ::R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}} This functio…'

Nicolette Young: Created page with '====The Reliability Function==== The 1-parameter exponential reliability function is given by:
:: $R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}$
This functio…'