Method of product spacings in the two-parameter gamma distribution

The Gamma Distribution is widely used in Engineering and Industrial applications.
Estimation of parameters is revisited in the two-parameter Gamma distribution.
The method of product spacings is implemented to this distribution.
A comparative study between the method of moments, the maximum likelihood
method, and the method of product spacings is performed using simulation. For
the scale parameter, the maximum likelihood estimate performs better and for
the shape parameter, the product spacings estimate performs better.