Copulas related to Manneville–Pomeau processes

Abstract

In this work, we derive the copulas related to Manneville–Pomeau processes. We examine both bidimensional and multidimensional cases and derive some properties for the related copulas. Computational issues, approximations and random variate generation problems are addressed and simple numerical experiments to test the approximations developed are also performed. In particular, we propose an approximation to the derived copulas which we show to converge uniformly to the true one. To illustrate the usefulness of the theory, we derive a fast procedure to estimate the underlying parameter in Manneville–Pomeau processes.