Skewed symmetric distributions have attracted a great deal of attention in the last few years. One of them, the skewed Cauchy distribution suffers from limited applicability because of the lack of finite moments. This article proposes an alternative to the skewed Cauchy distribution, which we...

Inverse Gaussian distributions have proved to fit economic indices remarkably well in empirical investigations (Aase, 2000). In this note, the exact distribution of the ratio W = X/(X + Y) is derived when X and Y are independent inverse Gaussian random variables. This distribution arises when...

The exact distribution of the ratio X/Y is derived when X and Y are gamma and Levy random variables distributed independently of each other. Extensive tabulations of the associated percentage points are also given.