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.

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...

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...

The distribution of products of random variables arises explicitly in many areas of the sciences, engineering and medicine. This has increased the need to have available the widest possible range of statistical results on products of random variables. In this note, the distribution of the...

Over reported income is commonly expressed as Z = X/Y, where X denotes the true income and Y a multiplicative error taking values in (0, 1). If Y has the power function distribution then it is well known that X is Pareto distributed if and only if Z is also. Often, the gamma distribution is...