Use the gamma distribution to model positive data values that are skewed to the right and greater than 0. The gamma distribution is commonly used in reliability survival studies. For example, the gamma distribution can describe the time for an electrical component to fail. Most electrical components of a particular type will fail around the same time, but a few will take a long time to fail.
When the shape parameter is a positive integer, the gamma distribution is sometimes called an Erlang distribution. The Erlang distribution is used frequently in queuing theory applications.