Template:Nominal failure intensity function

Nominal Failure Intensity Function
The nominal idealized growth curve failure intensity as a function of test time $$t$$  is:


 * $${{r}_{NI}}(t)={{\lambda }_{A}}+(1-d){{\lambda }_{B}}+d\lambda \beta {{t}^{\left( \beta -1 \right)}}\text{ for }t\ge {{t}_{0}}$$


 * and:


 * $${{r}_{NI}}(t)={{\lambda }_{I}}\text{ for }t\le {{t}_{0}}$$

where $${{\lambda }_{I}}$$  is the initial system failure intensity,  $$t$$  is test time and  $${{t}_{0}}$$  is the initialization time, which is discussed in the next section. It can be seen that Eqn. (Nominal FI) is the failure intensity equation of the Crow Extended model.