Template:Lognormal distribution reliability function - Revision history

Richard House: Redirected page to Lognormal Distribution Functions

2012-08-13T05:22:51Z

Redirected page to Lognormal Distribution Functions

← Older revision		Revision as of 05:22, 13 August 2012
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	~~===The~~ Lognormal ~~Reliability Function===~~		#REDIRECT [[Lognormal Distribution Functions]]
	~~The reliability for a mission of time <math>t</math> , starting at age 0, for the lognormal distribution is determined by:~~

	~~::<math>R(t)=\int_{t}^{\infty }f(x)dx</math>~~

	~~or:~~

	~~::<math>{{R}({t})}=\int_{\text{ln}(t)}^{\infty }\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}dx</math>~~

	As with the normal distribution, 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. For interested readers, full explanations can be found in the references.

Harry Guo: /* The Lognormal Reliability Function */

2012-02-13T20:59:58Z

The Lognormal Reliability Function

← Older revision		Revision as of 20:59, 13 February 2012
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	or:		or:

	::<math>R(t)=\int_{{{ln(t)~~}}}~~}^{\infty }\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}dx</math>		::<math>{{R}({t})}=\int_{\text{ln}(t)}^{\infty }\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}dx</math>

	As with the normal distribution, 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. For interested readers, full explanations can be found in the references.		As with the normal distribution, 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. For interested readers, full explanations can be found in the references.

Harry Guo: /* The Lognormal Reliability Function */

2012-02-13T20:58:27Z

The Lognormal Reliability Function

← Older revision		Revision as of 20:58, 13 February 2012
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	or:		or:

	::<math>R(t)=\int_{{{t~~}^{^{\prime~~ }}}}^{\infty }\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}dx</math>		::<math>R(t)=\int_{{{ln(t)}}}}^{\infty }\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}dx</math>

	As with the normal distribution, 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. For interested readers, full explanations can be found in the references.		As with the normal distribution, 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. For interested readers, full explanations can be found in the references.

Harry Guo: /* The Lognormal Reliability Function */

2012-02-13T16:56:51Z

The Lognormal Reliability Function

← Older revision		Revision as of 16:56, 13 February 2012
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	===The Lognormal Reliability Function===		===The Lognormal Reliability Function===
	The reliability for a mission of time <math>T</math> , starting at age 0, for the lognormal distribution is determined by:		The reliability for a mission of time <math>t</math> , starting at age 0, for the lognormal distribution is determined by:

	::<math>R(T)=\int_{T}^{\infty }f(t)dt</math>		::<math>R(t)=\int_{t}^{\infty }f(x)dx</math>

	or:		or:

	::<math>R(T)=\int_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}dt</math>		::<math>R(t)=\int_{{{t}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma' }}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{x-{\mu }'}{{{\sigma' }}} \right)}^{2}}}}dx</math>

	As with the normal distribution, 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. For interested readers, full explanations can be found in the references.		As with the normal distribution, 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. For interested readers, full explanations can be found in the references.

Harry Guo: /* The Lognormal Reliability Function */

2012-02-13T16:55:49Z

The Lognormal Reliability Function

← Older revision		Revision as of 16:55, 13 February 2012
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	::<math>R(T)=\int_{T}^{\infty }f(t)dt</math>		::<math>R(T)=\int_{T}^{\infty }f(t)dt</math>

	:or:		or:

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

	As with the normal distribution, 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. For interested readers, full explanations can be found in the references.		As with the normal distribution, 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. For interested readers, full explanations can be found in the references.

Harry Guo: moved Template:Ld lognormal reliability function to Template:Lognormal distribution reliability function

2012-02-13T16:17:26Z

moved Template:Ld lognormal reliability function to Template:Lognormal distribution reliability function

← Older revision	Revision as of 16:17, 13 February 2012
(No difference)

Nicolette Young: Created page with '===The Lognormal Reliability Function=== The reliability for a mission of time $T$ , starting at age 0, for the lognormal distribution is determined by: :: $R(T…'$

2012-01-04T18:20:13Z

Created page with '===The Lognormal Reliability Function=== The reliability for a mission of time <math>T</math> , starting at age 0, for the lognormal distribution is determined by: ::<math>R(T…'

New page

===The Lognormal Reliability Function===
The reliability for a mission of time <math>T</math> , starting at age 0, for the lognormal distribution is determined by:

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

:or:

::<math>R(T)=\int_{{{T}^{^{\prime }}}}^{\infty }\frac{1}{{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-{\mu }'}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}dt</math>

As with the normal distribution, 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. For interested readers, full explanations can be found in the references.

Template:Lognormal distribution reliability function - Revision history

Richard House: Redirected page to Lognormal Distribution Functions

Harry Guo: /* The Lognormal Reliability Function */

Harry Guo: /* The Lognormal Reliability Function */

Harry Guo: /* The Lognormal Reliability Function */

Harry Guo: /* The Lognormal Reliability Function */

Harry Guo: moved Template:Ld lognormal reliability function to Template:Lognormal distribution reliability function

Nicolette Young: Created page with '===The Lognormal Reliability Function=== The reliability for a mission of time T , starting at age 0, for the lognormal distribution is determined by: ::R(T…'

Nicolette Young: Created page with '===The Lognormal Reliability Function=== The reliability for a mission of time $T$ , starting at age 0, for the lognormal distribution is determined by: :: $R(T…'$