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| | #REDIRECT [[Template:WebNotes/ALTAALTA_Standard_Folio_Data_TempNonThermal]] |
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| {{Font|Reliability Web Notes|12|tahoma|bold|Blue}}
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| | align="center" valign="middle" |{{Font|Standard Folio Data TNT-Lognormal|11|tahoma|bold|gray}}
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| The T-NT lognormal model <math>pdf</math> can be obtained first by setting <math>\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{T}=L(V)</math>
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| in Eqn. (Temp-Volt).
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| <br>
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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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| <br>
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| or:
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| <br>
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| <math>{{e}^{{{\overline{T}}^{\prime }}}}=\frac{C}{{{U}^{n}}}{{e}^{\tfrac{B}{V}}}</math>
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| <br>
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| Thus:
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| <br>
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| <math>{{\overline{T}}^{\prime }}=\ln (C)-n\ln (U)+\frac{B}{V}</math>
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| <br>
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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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| | align="center" valign="middle" | [http://reliawiki.com/index.php/Template:TNT_Lognormal Get More Details...]
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| | align="center" valign="middle" | [Link2 See Examples...]
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| |}
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| [[File:docedit.png|20px|right|link=http://www.reliawiki.com/index.php?title=ALTA_ALTA_Standard_Folio_Data_TNT-Lognormal&action=edit]]
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