Abstract
This paper investigates asymptotical distributions of extremes on different grids and continuous time of stationary processes. The findings show that these joint extremes over certain threshold dependent grids are asymptotically completely dependent, dependent and independent respectively for dense, Pickands and sparse grids. Furthermore, an integral representation of the asymptotic function involved in the approximation is obtained.
Original language | English |
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Pages (from-to) | 150-168 |
Number of pages | 19 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 461 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 May 2018 |
Externally published | Yes |
Keywords
- Extremal index
- Extremes
- Gumbel limit theorem
- Pickands grids
- Stationary processes
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Ling, C., Peng, Z., & Tan, Z. (2018). Extremes on different grids and continuous time of stationary processes. Journal of Mathematical Analysis and Applications, 461(1), 150-168. https://doi.org/10.1016/j.jmaa.2018.01.008