Template:Alta exponential conditional reliability - Revision history

Richard House: Redirected page to Distributions Used in Accelerated Testing

2012-08-16T01:17:49Z

Redirected page to Distributions Used in Accelerated Testing

← Older revision		Revision as of 01:17, 16 August 2012
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	~~==== Conditional Reliability ====~~		#REDIRECT [[Distributions_Used_in_Accelerated_Testing]]

	~~The conditional reliability function for the 1-parameter exponential distribution is given by:~~

	~~<br>~~

	~~::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-\lambda (T+t)}}}{{{e}^{-\lambda T}}}={{e}^{-\lambda t}}</math>~~

	<br> which says that the reliability for a mission of <span class="texhtml">''t''</span> duration, undertaken after the component or equipment has already accumulated <span class="texhtml">''T''</span> hours of operation from age zero, is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the "memoryless property."

	~~<br>~~

Chris Kahn at 22:33, 6 March 2012

2012-03-06T22:33:20Z

← Older revision		Revision as of 22:33, 6 March 2012
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	====Conditional Reliability====		==== Conditional Reliability ====
	~~<br>~~
	The conditional reliability function for the 1-parameter exponential distribution is given by:		The conditional reliability function for the 1-parameter exponential distribution is given by:

	<br>		<br>

	::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-\lambda (T+t)}}}{{{e}^{-\lambda T}}}={{e}^{-\lambda t}}</math>		::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-\lambda (T+t)}}}{{{e}^{-\lambda T}}}={{e}^{-\lambda t}}</math>

	<br>		<br> which says that the reliability for a mission of <span class="texhtml">''t''</span> duration, undertaken after the component or equipment has already accumulated <span class="texhtml">''T''</span> hours of operation from age zero, is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the "memoryless property."
	which says that the reliability for a mission of <~~math~~>t</~~math~~> duration undertaken after the component or equipment has already accumulated <~~math~~>T</~~math~~> hours of operation from age zero is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the "memoryless property".

	<br>		<br>

Athanasios Gerokostopoulos: /* Conditional Reliability */

2012-02-27T23:23:02Z

Conditional Reliability

← Older revision		Revision as of 23:23, 27 February 2012
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	<br>		<br>
	which says that the reliability for a mission of <math>t</math> duration undertaken after the component or equipment has already accumulated <math>T</math> hours of operation from age zero is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the ``memoryless property.''		which says that the reliability for a mission of <math>t</math> duration undertaken after the component or equipment has already accumulated <math>T</math> hours of operation from age zero is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the "memoryless property".

	<br>		<br>

Athanasios Gerokostopoulos: /* Conditional Reliability */

2012-02-27T23:22:42Z

Conditional Reliability

← Older revision		Revision as of 23:22, 27 February 2012
Line 2:		Line 2:
	<br>		<br>
	The conditional reliability function for the 1-parameter exponential distribution is given by:		The conditional reliability function for the 1-parameter exponential distribution is given by:

	<br>		<br>
	::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-\lambda (T+t)}}}{{{e}^{-\lambda T}}}={{e}^{-\lambda t}}</math>		::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-\lambda (T+t)}}}{{{e}^{-\lambda T}}}={{e}^{-\lambda t}}</math>

	<br>		<br>
	which says that the reliability for a mission of <math>t</math> duration undertaken after the component or equipment has already accumulated <math>T</math> hours of operation from age zero is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the ``memoryless property.''		which says that the reliability for a mission of <math>t</math> duration undertaken after the component or equipment has already accumulated <math>T</math> hours of operation from age zero is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the ``memoryless property.''

	<br>		<br>

Nicolette Young: Created page with '====Conditional Reliability====
The conditional reliability function for the 1-parameter exponential distribution is given by:
:: $R(T,t)=\frac{R(T+t)}{R(T)}=\frac…'$

2012-01-12T18:11:48Z

Created page with '====Conditional Reliability==== The conditional reliability function for the 1-parameter exponential distribution is given by: ::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac…'

New page

====Conditional Reliability====
 
The conditional reliability function for the 1-parameter exponential distribution is given by:
 
::<math>R(T,t)=\frac{R(T+t)}{R(T)}=\frac{{{e}^{-\lambda (T+t)}}}{{{e}^{-\lambda T}}}={{e}^{-\lambda t}}</math>
 
which says that the reliability for a mission of <math>t</math> duration undertaken after the component or equipment has already accumulated <math>T</math> hours of operation from age zero is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the ``memoryless property.''

Template:Alta exponential conditional reliability - Revision history

Richard House: Redirected page to Distributions Used in Accelerated Testing

Chris Kahn at 22:33, 6 March 2012

Athanasios Gerokostopoulos: /* Conditional Reliability */

Athanasios Gerokostopoulos: /* Conditional Reliability */

Nicolette Young: Created page with '====Conditional Reliability==== The conditional reliability function for the 1-parameter exponential distribution is given by: ::R(T,t)=\frac{R(T+t)}{R(T)}=\frac…'

Nicolette Young: Created page with '====Conditional Reliability====
The conditional reliability function for the 1-parameter exponential distribution is given by:
:: $R(T,t)=\frac{R(T+t)}{R(T)}=\frac…'$