Asymptotics for Exponential Functionals of Random Walks
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913807759048704 |
|---|---|
| author | Xu, Wei |
| author_facet | Xu, Wei |
| contents | This paper provides a detailed description for the asymptotics of exponential functionals of random walks with light/heavy tails. We give the convergence rate based on the key observation that the asymptotics depends on the sample paths with either slowly decreasing local minimum or final value below a low level. Also, our thoughtful analysis of the interrelationship between the local minimum and the final value provides the exact expression for the limiting coefficients in terms of some transformations of the random walk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_02975 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Asymptotics for Exponential Functionals of Random Walks Xu, Wei Probability Primary 60G50, 60J55, secondary 60F10, 60E05 This paper provides a detailed description for the asymptotics of exponential functionals of random walks with light/heavy tails. We give the convergence rate based on the key observation that the asymptotics depends on the sample paths with either slowly decreasing local minimum or final value below a low level. Also, our thoughtful analysis of the interrelationship between the local minimum and the final value provides the exact expression for the limiting coefficients in terms of some transformations of the random walk. |
| title | Asymptotics for Exponential Functionals of Random Walks |
| topic | Probability Primary 60G50, 60J55, secondary 60F10, 60E05 |
| url | https://arxiv.org/abs/2201.02975 |