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| | #REDIRECT [[Template:WebNotes/ALTAALTA_Standard_Folio_Data_Eyring]] |
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| | valign="middle" |{{Font|Standard Folio Data Eyring-Exponential|11|tahoma|bold|gray}}
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| | valign="middle" | {{Font|ALTA|10|tahoma|bold|gray}}
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| The <math>pdf</math> of the 1-parameter exponential distribution is given by:
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| <br>
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| <math>f(t)=\lambda \cdot {{e}^{-\lambda \cdot t}}</math>
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| <br>
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| 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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| <br>
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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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| <br>
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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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| [[File:docedit.png|20px|right|link=http://www.reliawiki.com/index.php?title=ALTA_ALTA_Standard_Folio_Data_Eyring-Exponential&action=edit]]
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