Crow-AMSAA Model - Grouped Data Example

This example appears in the Reliability Growth and Repairable System Analysis Reference.

Consider the grouped failure times data given in the following table. Solve for the Crow-AMSAA parameters using MLE.

Solution

Using RGA, the value of $$\hat{\beta }\,\!$$, which must be solved numerically, is 0.6315. Using this value, the estimator of $$\lambda \,\!$$ is:


 * $$\begin{align}

\hat{\lambda } = & \frac{11}{3,{{000}^{0.6315}}} \\ = & 0.0701 \end{align}\,\!$$

Therefore, the intensity function becomes:


 * $$\hat{\rho }(T)=0.0701\cdot 0.6315\cdot {{T}^{-0.3685}}\,\!$$