Products of ratios of independent Gamma random variables (r.v.s) are relevant in many tests of hypotheses. Obtaining explicit manageable expressions for their p.d.f. and c.d.f. is a challenging problem. In this monograph we take this challenge. The book tries to illustrate the use of several techniques, exhibiting a balanced blend between theory and a good number of examples. A large number of graphs and tables illustrate several particular aspects of the distributions being studied. Besides the exact distribution, we also consider near-exact ones, obtained through a new concept of...