Abstract
A variation of Choquet random sup-measures is introduced. These random sup-measures are shown to arise as the scaling limits of empirical random sup-measures of a general aggregated model. Because of the aggregations, the finite-dimensional distributions of introduced random sup-measures do not necessarily have classical extreme-value distributions. Examples include the recently introduced stable-regenerative random sup-measures as a special case.
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Acknowledgements
YW thanks Shuyang Bai, Olivier Durieu, Ilya Molchanov, Gennady Samorodnitsky and Na Zhang for very helpful discussions, and the Associate Editor and two anonymous referees for helpful comments and suggestions. YW’s research was partially supported by Army Research Office grants W911NF-17-1-0006 and W911NF-20-1-0139 at University of Cincinnati.
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Wang, Y. Choquet random sup-measures with aggregations. Extremes 25, 25–54 (2022). https://doi.org/10.1007/s10687-021-00425-3
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DOI: https://doi.org/10.1007/s10687-021-00425-3