Template:Alta al rf - Revision history

Richard House: Redirected page to Arrhenius Relationship#Arrhenius-Lognormal Statistical Properties Summary

2012-08-16T05:34:06Z

Redirected page to Arrhenius Relationship#Arrhenius-Lognormal Statistical Properties Summary

← Older revision		Revision as of 05:34, 16 August 2012
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	~~====~~Arrhenius-~~Lognormal Reliability Function====~~		#REDIRECT [[Arrhenius_Relationship#Arrhenius-Lognormal_Statistical_Properties_Summary]]
	~~<br>~~
	~~The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined by:~~

	~~<br>~~
	~~::<math>R(T,V)=\int_{T}^{\infty }f(t,V)dt</math>~~

	~~or:~~
	~~<br>~~
	~~::<math>R(T,V)=\int_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\ln (C)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>~~

	~~<br>~~
	There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables. Since the application automatically solves for the reliability, we will not discuss manual solution methods.

	~~<br>~~

Athanasios Gerokostopoulos: /* Arrhenius-Lognormal Reliability Function */

2012-02-27T23:38:14Z

Arrhenius-Lognormal Reliability Function

← Older revision		Revision as of 23:38, 27 February 2012
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	<br>		<br>
	The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined by:		The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined by:

	<br>		<br>
	::<math>R(T,V)=\int_{T}^{\infty }f(t,V)dt</math>		::<math>R(T,V)=\int_{T}^{\infty }f(t,V)dt</math>

	~~vor~~:		or:
	<br>		<br>
	::<math>R(T,V)=\int_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\ln (C)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>		::<math>R(T,V)=\int_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\ln (C)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>

	<br>		<br>
	There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables. Since the application automatically solves for the reliability, we will not discuss manual solution methods.		There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables. Since the application automatically solves for the reliability, we will not discuss manual solution methods.

	<br>		<br>

Athanasios Gerokostopoulos: /* Arrhenius-Lognormal Reliability Function */

2012-02-14T00:15:32Z

Arrhenius-Lognormal Reliability Function

← Older revision		Revision as of 00:15, 14 February 2012
Line 3:		Line 3:
	The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined by:		The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined by:
	<br>		<br>
	::<math>R(T,V)=\~~mathop{}_~~{T}^{\infty }f(t,V)dt</math>		::<math>R(T,V)=\int_{T}^{\infty }f(t,V)dt</math>

	vor:		vor:
	<br>		<br>
	::<math>R(T,V)=\~~mathop{}_~~{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\ln (C)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>		::<math>R(T,V)=\int_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\ln (C)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>
	<br>		<br>
	There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables. Since the application automatically solves for the reliability, we will not discuss manual solution methods.		There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables. Since the application automatically solves for the reliability, we will not discuss manual solution methods.
	<br>		<br>

Nicolette Young: Created page with '====Arrhenius-Lognormal Reliability Function====
The reliability for a mission of time $T$ , starting at age 0, for the Arrhenius-lognormal model is determined b…'

2012-01-12T22:10:53Z

Created page with '====Arrhenius-Lognormal Reliability Function==== The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined b…'

New page

====Arrhenius-Lognormal Reliability Function====
 
The reliability for a mission of time <math>T</math> , starting at age 0, for the Arrhenius-lognormal model is determined by:
 
::<math>R(T,V)=\mathop{}_{T}^{\infty }f(t,V)dt</math>

vor:
 
::<math>R(T,V)=\mathop{}_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\ln (C)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>
 
There is no closed form solution for the lognormal reliability function. Solutions can be obtained via the use of standard normal tables. Since the application automatically solves for the reliability, we will not discuss manual solution methods.

Template:Alta al rf - Revision history

Richard House: Redirected page to Arrhenius Relationship#Arrhenius-Lognormal Statistical Properties Summary

Athanasios Gerokostopoulos: /* Arrhenius-Lognormal Reliability Function */

Athanasios Gerokostopoulos: /* Arrhenius-Lognormal Reliability Function */

Nicolette Young: Created page with '====Arrhenius-Lognormal Reliability Function==== The reliability for a mission of time T , starting at age 0, for the Arrhenius-lognormal model is determined b…'

Nicolette Young: Created page with '====Arrhenius-Lognormal Reliability Function====
The reliability for a mission of time $T$ , starting at age 0, for the Arrhenius-lognormal model is determined b…'