On convergence rate bounds for a class of nonlinear Markov chains
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909552489791488 |
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| author | Shchegolev, Alexander Veretennikov, Alexander |
| author_facet | Shchegolev, Alexander Veretennikov, Alexander |
| contents | A new approach is developed for evaluating the convergence rate for nonlinear Markov chains (MC) based on the recently developed spectral radius technique of markovian coupling for linear MC and the idea of small nonlinear perturbations of linear MC. The method further enhances recent advances in the problem of convergence for such models. The new convergence rate may be used, in particular, for the justification of $D$-condition in the Extreme Values theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12834 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On convergence rate bounds for a class of nonlinear Markov chains Shchegolev, Alexander Veretennikov, Alexander Probability 60J10, 60J05, 60J99 A new approach is developed for evaluating the convergence rate for nonlinear Markov chains (MC) based on the recently developed spectral radius technique of markovian coupling for linear MC and the idea of small nonlinear perturbations of linear MC. The method further enhances recent advances in the problem of convergence for such models. The new convergence rate may be used, in particular, for the justification of $D$-condition in the Extreme Values theory. |
| title | On convergence rate bounds for a class of nonlinear Markov chains |
| topic | Probability 60J10, 60J05, 60J99 |
| url | https://arxiv.org/abs/2209.12834 |