Sums and ratios for beta Stacy distribution

摘要

We derive the exact distributions of R = X + Y and W = X/(X + Y) and the corresponding moment properties when X and Y follow the beta Stacy distribution. The expressions turn out to involve several special functions. We also provide extensive tabulations of the percentage points associated with the distributions. These tables—obtained using intensive computing power—will be of use to practitioners of the beta Stacy distribution.