# Generalized Gamma Distribution with MLE Solution

 Generalized Gamma Distribution with MLE Solution

This example validates the calculations for the MLE solution for the Generalized-Gamma distribution in Weibull++ standard folios.

Reference Case

The data set from Table 1.1 on page 4 in the book Statistical Methods for Reliability Data by Dr. Meeker and Dr. Escobar, John Wiley & Sons, 1998 is used.

Data

Failures
17.88 28.92 33
41.52 42.12 45.6
48.4 51.84 51.96
54.12 55.56 67.8
68.64 68.64 68.88
84.12 93.12 98.64
105.12 105.84 127.92
128.04 173.4

Result

The solution is given on page 257, Example 11.2. The ML estimates are $\mu\,\!$ = 4.23, $\sigma\,\!$ = 0.51 and $\alpha\,\!$ = 0.3076.

Results in Weibull++

The following picture shows the results in Weibull++: