Template:Alta exponential reliability function: Difference between revisions

Revision as of 23:40, 6 February 2012

The 1-parameter exponential reliability function is given by:

[math]\displaystyle{ R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}} }[/math]

This function is the complement of the exponential cumulative distribution function or:

[math]\displaystyle{ R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT }[/math]

and:

[math]\displaystyle{ R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}} }[/math]

@@ Line 6: / Line 6: @@
 This function is the complement of the exponential cumulative distribution function or:
 <br>
-::<math>R(T)=1-Q(T)=1-\mathop{}_{0}^{T}f(T)dT</math>
+::<math>R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT</math>
 <br>
 :and:
 <br>
-::<math>R(T)=1-\mathop{}_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>
+::<math>R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}</math>
 <br>