ALTA ALTA Standard Folio Data TNT-Lognormal: Difference between revisions

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Content 1
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{{Font|Learn more from...|11|tahoma|bold|gray}}
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| [http://help.synthesis8.com/weibull_alta8/alta_standard_folios.htm the help files...]
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The T-NT lognormal model <math>pdf</math> can be obtained first by setting <math>\overline{T}=L(V)</math>
| [http://reliawiki.com/index.php/Template:TNT_Lognormal the theory textbook...]  
in Eqn. (Temp-Volt).  
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Therefore:
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<math>\breve{T}=L(V)=\frac{C}{{{U}^{n}}}{{e}^{\tfrac{B}{V}}}</math>
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or:  
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<math>{{e}^{{{\overline{T}}^{\prime }}}}=\frac{C}{{{U}^{n}}}{{e}^{\tfrac{B}{V}}}</math>
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Thus:
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<math>{{\overline{T}}^{\prime }}=\ln (C)-n\ln (U)+\frac{B}{V}</math>
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Substituting Eqn.(TV-logn-mean)into Eqn. (TV-logn-pdf) yields the T-NT lognormal model <math>pdf</math> or:
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<math>f(T,U,V)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{{T}'-\ln (C)+n\ln (U)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}</math>
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| valign="middle" | [http://reliawiki.com/index.php/Template:TNT_Lognormal TNT Lognormal]
| [[Image:Articleblue.png]]
| [http://www.weibull.com/hotwire/issue74/relbasics74.htm related article(s)...]
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|valign="middle" | [http://reliawiki.com/index.php/Template:Example:TNT See an example]
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| [http://reliawiki.com/index.php/Template:Example:TNT use example(s)...]
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Revision as of 22:09, 7 March 2012

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Standard Folio Data TNT-Lognormal

Content 1


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