Computing Elliptic Integrals by Duplication.
Computing the distribution of a linear combination of inverted gamma variables
A formula for evaluation of the distribution of a linear combination of independent inverted gamma random variables by one-dimensional numerical integration is presented. The formula is direct application of the inversion formula given by Gil–Pelaez [gil-pelaez]. This method is applied to computation of the generalized -values used for exact significance testing and interval estimation of the parameter of interest in the Behrens–Fisher problem and for variance components in balanced mixed linear...
Construction of Cubature Formulas of Degree Eleven for Symmetric Planar Regions "Using" Orthogonal Polynomials.