Random Processes with Stationary Increments and Intrinsic Random Functions on the Real Line
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914179097559040 |
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| author | Kim, Jongwook |
| author_facet | Kim, Jongwook |
| contents | Random processes with stationary increments and intrinsic random processes are two concepts commonly used to deal with non-stationary random processes. They are broader classes than stationary random processes and conceptually closely related to each other. This paper illustrates the relationship between these two concepts of stochastic processes and shows that, under certain conditions, they are equivalent on the real line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Random Processes with Stationary Increments and Intrinsic Random Functions on the Real Line Kim, Jongwook Probability Statistics Theory Random processes with stationary increments and intrinsic random processes are two concepts commonly used to deal with non-stationary random processes. They are broader classes than stationary random processes and conceptually closely related to each other. This paper illustrates the relationship between these two concepts of stochastic processes and shows that, under certain conditions, they are equivalent on the real line. |
| title | Random Processes with Stationary Increments and Intrinsic Random Functions on the Real Line |
| topic | Probability Statistics Theory |
| url | https://arxiv.org/abs/2501.15680 |