Template:Lognormal distribution conditional reliability - Revision history

Richard House: Redirected page to Lognormal Distribution Functions

2012-08-13T05:25:09Z

Redirected page to Lognormal Distribution Functions

← Older revision		Revision as of 05:25, 13 August 2012
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	~~===The~~ Lognormal ~~Conditional Reliability===~~		#REDIRECT [[Lognormal Distribution Functions]]
	~~The lognormal conditional reliability function is given by:~~

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

	~~Once again, the use of standard normal tables is necessary to solve this equation, as no closed-form solution exists.~~

Harry Guo: /* The Lognormal Conditional Reliability */

2012-02-13T16:58:20Z

The Lognormal Conditional Reliability

← Older revision		Revision as of 16:58, 13 February 2012
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	The lognormal conditional reliability function is given by:		The lognormal conditional reliability function is given by:

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

	Once again, the use of standard normal tables is necessary to solve this equation, as no closed-form solution exists.		Once again, the use of standard normal tables is necessary to solve this equation, as no closed-form solution exists.

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

2012-02-13T16:16:51Z

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

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

Nicolette Young: Created page with '===The Lognormal Conditional Reliability=== The lognormal conditional reliability function is given by: :: $R(t|T)=\frac{R(T+t)}{R(T)}=\frac{\int_{\text{ln}(T+t)}^{\infty }…'$

2012-01-04T18:20:37Z

Created page with '===The Lognormal Conditional Reliability=== The lognormal conditional reliability function is given by: ::<math>R(t|T)=\frac{R(T+t)}{R(T)}=\frac{\int_{\text{ln}(T+t)}^{\infty }…'

New page

===The Lognormal Conditional Reliability===
The lognormal conditional reliability function is given by:

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

Once again, the use of standard normal tables is necessary to solve this equation, as no closed-form solution exists.

Template:Lognormal distribution conditional reliability - Revision history

Richard House: Redirected page to Lognormal Distribution Functions

Harry Guo: /* The Lognormal Conditional Reliability */

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

Nicolette Young: Created page with '===The Lognormal Conditional Reliability=== The lognormal conditional reliability function is given by: ::R(t|T)=\frac{R(T+t)}{R(T)}=\frac{\int_{\text{ln}(T+t)}^{\infty }…'

Nicolette Young: Created page with '===The Lognormal Conditional Reliability=== The lognormal conditional reliability function is given by: :: $R(t|T)=\frac{R(T+t)}{R(T)}=\frac{\int_{\text{ln}(T+t)}^{\infty }…'$