Template:Eyring-ex rf

Eyring-Exponential Reliability Function
The Eyring-exponential reliability function is given by:


 * $$R(T,V)={{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}$$

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


 * $$R(T,V)=1-Q(T,V)=1-\int_{0}^{T}f(T,V)dT$$

and:


 * $$R(T,V)=1-\int_{0}^{T}V{{e}^{\left( A-\tfrac{B}{V} \right)}}{{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}dT={{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}$$