Template:Eyring-ex stat prop sum: Difference between revisions

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===Eyring-Exponential Statistical Properties Summary===
#REDIRECT [[Eyring_Relationship#Eyring-Exponential]]
{{eyring-ex mean}}
 
{{eyring-ex median}}
 
{{eyring-ex mode}}
 
{{eyring-ex sd}}
 
{{eyring-ex rf}}
 
{{eyring-ex cr}}
 
====Reliable Life====
<br>
For the Eyring-exponential model, the reliable life, or the mission duration for a desired reliability goal,  <math>{{t}_{R,}}</math>  is given by:
<br>
::<math>R({{t}_{R}},V)={{e}^{-{{t}_{R}}\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}</math>
<br>
::<math>\ln [R({{t}_{R}},V)]=-{{t}_{R}}\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}</math>
<br>
:or:
<br>
::<math>{{t}_{R}}=-\frac{1}{V}{{e}^{-\left( A-\tfrac{B}{V} \right)}}\ln [R({{t}_{R}},V)]</math>

Latest revision as of 22:59, 16 August 2012

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