Template:Lognormal distribution reliable life - Revision history

Richard House: Redirected page to Lognormal Distribution Functions

2012-08-13T05:28:14Z

Redirected page to Lognormal Distribution Functions

← Older revision		Revision as of 05:28, 13 August 2012
Line 1:		Line 1:
	~~===The~~ Lognormal ~~Reliable Life===~~		#REDIRECT [[Lognormal Distribution Functions]]
	As there is no closed-form solution for the lognormal reliability equation, no closed-form solution exists for the lognormal reliable life either. In order to determine this value, one must solve the equation:


	~~::<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>~~

	~~for <math>t</math> .~~

Harry Guo: /* The Lognormal Reliable Life */

2012-02-13T17:04:10Z

The Lognormal Reliable Life

← Older revision		Revision as of 17:04, 13 February 2012
Line 3:		Line 3:


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

	for <math>t</math> .		for <math>t</math> .

Harry Guo: /* The Lognormal Reliable Life */

2012-02-13T17:03:51Z

The Lognormal Reliable Life

← Older revision		Revision as of 17:03, 13 February 2012
Line 3:		Line 3:


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

	for <math>T</math> .		for <math>t</math> .

Harry Guo: moved Template:Ld lognormal reliable life to Template:Lognormal distribution reliable life

2012-02-13T16:17:45Z

moved Template:Ld lognormal reliable life to Template:Lognormal distribution reliable life

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

Nicolette Young: Created page with '===The Lognormal Reliable Life=== As there is no closed-form solution for the lognormal reliability equation, no closed-form solution exists for the lognormal reliable life eithe…'

2012-01-04T18:21:22Z

Created page with '===The Lognormal Reliable Life=== As there is no closed-form solution for the lognormal reliability equation, no closed-form solution exists for the lognormal reliable life eithe…'

New page

===The Lognormal Reliable Life===
As there is no closed-form solution for the lognormal reliability equation, no closed-form solution exists for the lognormal reliable life either. In order to determine this value, one must solve the equation:

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

for <math>T</math> .