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A Comparative Tour through the Simulation Algorithms for Max-Stable Processes

delete2022-02-01
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OA
AI
M
Marco Oesting *
K
Kirstin Strokorb
DOI:10.1214/20-STS820delete
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摘要

摘要

En 中文
Being the max-analogue of alpha-stable stochastic processes, max-stable processes form one of the fundamental classes of stochastic processes. With the arrival of sufficient computational capabilities, they have become a benchmark in the analysis of spatiotemporal extreme events. Simulation is often a necessary part of inference of certain characteristics, in particular for future spatial risk assessment. In this article, we give an overview over existing procedures for this task, put them into perspective of one another and use some new theoretical results to make comparisons with respect to their properties.
Keyword:
Spectral representation
threshold stopping
extremal functions
error assessment

期刊

Statistical Science 封面图
Statistical Science
IF:
3.4
论文数:
1.0K
被引数:
8.7K

机构

U
University of Stuttgart
学者数:
1.1W
论文数: 9.4K
被引数: 1.3W
C
Cardiff University
学者数:
2.7W
论文数: 2.5W
被引数: 3.5W
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