Crow-AMSAA Model - Grouped Data Example

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

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:


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