Exact Simulation of reciprocal Archimedean copulas

02/27/2018

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by   Jan-Frederik Mai, et al.

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The decreasing enumeration of the points of a Poisson random measure whose mean measure has finite survival function on the positive half-axis can be represented as a non-increasing function of the jump times of a standard Poisson process. This observation allows to generalize the essential idea from a well-known exact simulation algorithm for arbitrary extreme-value copulas to copulas of a more general family of max-ID distributions, with reciprocal Archimedean copulas being a particular example.