Template:Lognormal distribution conditional reliability: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
(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 }…')
 
(Redirected page to Lognormal Distribution Functions)
 
(2 intermediate revisions by one other user not shown)
Line 1: Line 1:
===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 }_{{{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.

Latest revision as of 05:25, 13 August 2012

Redirect to:

Retrieved from "https://www.reliawiki.com/index.php?title=Template:Lognormal_distribution_conditional_reliability&oldid=31366"