Models for temporal clustering of extreme events with applications to mid-latitude winter cyclones
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912585082732544 |
|---|---|
| author | Mathieu, Christina Hees, Katharina Fried, Roland |
| author_facet | Mathieu, Christina Hees, Katharina Fried, Roland |
| contents | The occurrence of extreme events like heavy precipitation or storms at a certain location often shows a clustering behaviour and is thus not described well by a Poisson process. We construct a general model for the inter-exceedance times in between such events which combines different candidate models for such behaviour. This allows us to distinguish data generating mechanisms leading to clusters of dependent events with exponential inter-exceedance times in between clusters from independent events with heavy-tailed inter-exceedance times, and even allows us to combine these two mechanisms for better descriptions of such occurrences. We propose a modification of the Cramér-von Mises distance for model fitting. An application to mid-latitude winter cyclones illustrates the usefulness of our work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_14625 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Models for temporal clustering of extreme events with applications to mid-latitude winter cyclones Mathieu, Christina Hees, Katharina Fried, Roland Methodology The occurrence of extreme events like heavy precipitation or storms at a certain location often shows a clustering behaviour and is thus not described well by a Poisson process. We construct a general model for the inter-exceedance times in between such events which combines different candidate models for such behaviour. This allows us to distinguish data generating mechanisms leading to clusters of dependent events with exponential inter-exceedance times in between clusters from independent events with heavy-tailed inter-exceedance times, and even allows us to combine these two mechanisms for better descriptions of such occurrences. We propose a modification of the Cramér-von Mises distance for model fitting. An application to mid-latitude winter cyclones illustrates the usefulness of our work. |
| title | Models for temporal clustering of extreme events with applications to mid-latitude winter cyclones |
| topic | Methodology |
| url | https://arxiv.org/abs/2308.14625 |