Algorithm 682: Talbot's method of the Laplace inversion problems
ACM Transactions on Mathematical Software (TOMS)
Algorithm 368: Numerical inversion of Laplace transforms [D5]
Communications of the ACM
Comparison of sequence accelerators forthe Gaver method of numerical Laplace transform inversion
Computers & Mathematics with Applications
Hi-index | 0.00 |
The paper considers the problem of computing p-values of non-standard distributions for which the characteristic function is available in closed form. When the characteristic function is a multivalued complex function, the standard numerical inversion method needs to be used with care as the integrand may become discontinous due to branch cuts. An alternative inversion method based on the Gaver-Wynn-Rho algorithm is shown to be a general and effective solution to the discontinuity problem as it works with real-valued functions. The method is illustrated with two well-known time series tests with non-standard distributions.