ALTA ALTA Standard Folio Data Eyring-Exponential: Difference between revisions

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The <math>pdf</math> of the 1-parameter exponential distribution is given by:
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<math>f(t)=\lambda \cdot {{e}^{-\lambda \cdot t}}</math>
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| [http://reliawiki.com/index.php/Template:Alta_a-e.e-e#Eyring-Exponential the theory textbook...] 
It can be easily shown that the mean life for the 1-parameter exponential distribution (presented in detail in Chapter 5) is given by:
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<math>\lambda =\frac{1}{m}</math>
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thus:
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<math>f(t)=\frac{1}{m}\cdot {{e}^{-\tfrac{t}{m}}}</math>
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The Eyring-exponential model  <math>pdf</math>  can then be obtained by setting  <math>m=L(V)</math>  in Eqn. (eyring):  
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<math>m=L(V)=\frac{1}{V}{{e}^{-\left( A-\tfrac{B}{V} \right)}}</math>
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and substituting for  <math>m</math>  in Eqn. (pdfexpm2):
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<math>f(t,V)=V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}{{e}^{-V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}\cdot t}}</math>
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| valign="middle" | [http://reliawiki.com/index.php/Template:Alta_a-e.e-e#Eyring-Exponential Get More Details...]
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|valign="middle" | [http://reliawiki.com/index.php/Template:Example:Eyring#Eyring_Example See an example]
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| [http://reliawiki.com/index.php/Template:Example:Eyring#Eyring_Example use example(s)...]
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Revision as of 17:17, 7 March 2012

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Standard Folio Data Eyring-Exponential

Content 1


Learn more from...

Helpblue.png [Link1 the help files...]
Book blue.png the theory textbook...
Articleblue.png [Link3 related article(s)...]
Bulbblue.png use example(s)...


























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