View source for Template:Aae stat prop sum

===Arrhenius-Exponential Statistical Properties Summary===
<br>
{{aae mean}}
{{aae median}}

{{aae mode}}

{{aae sd}}

{{aae rf}}

====Conditional Reliability====
The Arrhenius-exponential conditional reliability function is given by,

::<math>R(T,t,V)=\frac{R(T+t,V)}{R(T,V)}=\frac{{{e}^{-\lambda (T+t)}}}{{{e}^{-\lambda T}}}={{e}^{-\tfrac{t}{C{{e}^{\tfrac{B}{V}}}}}}</math>

====Reliable Life====
<br>
For the Arrhenius-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}^{-\tfrac{{{t}_{R}}}{C{{e}^{\tfrac{B}{V}}}}}}</math>



<br>
::<math>\ln [R({{t}_{R}},V)]=-\frac{{{t}_{R}}}{C{{e}^{\tfrac{B}{V}}}}</math>

<br>
or:

<br>
::<math>{{t}_{R}}=-C{{e}^{\tfrac{B}{V}}}\ln [R({{t}_{R}},V)]</math>