# The Generalized Gamma Distribution Notes

### The Generalized Gamma Distribution

Compared to the other distributions previously discussed, the generalized gamma distribution is not as frequently used for modeling life data; however, it has the the ability to mimic the attributes of other distributions, such as the Weibull or lognormal, based on the values of the distribution’s parameters. This offers a compromise between two lifetime distributions. The generalized gamma function is a three-parameter distribution with parameters , and . The *pdf *of the distribution is given by,

where is the gamma function, defined by:

This distribution behaves as do other distributions based on the values of the parameters. For example, if , then the distribution is identical to the Weibull distribution. If both

The generalized gamma distribution and its characteristics are presented in The Generalized Gamma Distribution.