ALTA ALTA Standard Folio Data Arrhenius-Weibull: Difference between revisions

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The  <math>pdf</math>  for 2-parameter Weibull distribution is given by:
 
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{{weibull2pdf}}
 
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The scale parameter (or characteristic life) of the Weibull distribution is  <math>\eta </math> .
 
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The Arrhenius-Weibull model pdf can then be obtained by setting  <math>\eta =L(V)</math>  in Eqn. (arrhenius):
 
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<math>\eta =L(V)=C\cdot {{e}^{\tfrac{B}{V}}}</math>
 
 
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and substituting for  <math>\eta </math>  in Eqn. (Weibullpdf):
 
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<math>f(t,V)=\frac{\beta }{C\cdot {{e}^{\tfrac{B}{V}}}}{{\left( \frac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta -1}}{{e}^{-{{\left( \tfrac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
 
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Latest revision as of 23:16, 7 July 2015

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