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Exact simulation of reciprocal Archimedean copulas

Jan-Frederik Mai

Statistics & Probability Letters, 2018, vol. 141, issue C, 68-73

Abstract: The decreasing enumeration of the points of a Poisson random measure whose mean measure is Radon on (0,∞] 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 more general max-infinitely divisible distributions, with reciprocal Archimedean copulas being a particular example.

Keywords: Reciprocal Archimedean copula; Poisson random measure; Simulation; Max-infinitely divisible (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2018.05.020

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