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

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The  <math>pdf</math>  of the lognormal distribution is given by:
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<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{{T}'-\overline{{{T}'}}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}</math>
 
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where:
 
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<math>{T}'=\ln (T)</math>
 
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<math>T=\text{times-to-failure}</math>
 
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and:
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• <math>\overline{{{T}'}}=</math> mean of the natural logarithms of the times-to-failure.
 
• <math>{{\sigma }_{{{T}'}}}=</math> standard deviation of the natural logarithms of the times-to-failure.
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