Copulas Related to Manneville-Pomeau Processes

Details Copulas Related to Manneville-Pomeau Processes Copulas Related to Manneville-Pomeau Processes

2011-09-12

arxiv.org/abs/1109.2628v2

Mathematics

Statistics Theory

Scientific paper

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 copulas derived which we show to converge uniformly to the true copula. To illustrate the usefulness of the theory, we derive a fast procedure to estimate the underlying parameter in Manneville-Pomeau processes.

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