Multidimensional compound Poisson approximations for symmetric distributions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918515979583488 |
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| author | Čekanavičius, Vydas Jokubauskienė, Simona |
| author_facet | Čekanavičius, Vydas Jokubauskienė, Simona |
| contents | Distribution of the sum of independent identically distributed symmetric lattice vectors is approximated by the accompanying compound Poisson law and the second-order Hipp-type signed compound Poisson measure. Bergström -type asymptotic expansion is constructed. The accuracy of approximation is estimated in the total variation metric and, in many cases, is of the order $O(n^{-1})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16554 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multidimensional compound Poisson approximations for symmetric distributions Čekanavičius, Vydas Jokubauskienė, Simona Probability 60F99, 60G50 Distribution of the sum of independent identically distributed symmetric lattice vectors is approximated by the accompanying compound Poisson law and the second-order Hipp-type signed compound Poisson measure. Bergström -type asymptotic expansion is constructed. The accuracy of approximation is estimated in the total variation metric and, in many cases, is of the order $O(n^{-1})$. |
| title | Multidimensional compound Poisson approximations for symmetric distributions |
| topic | Probability 60F99, 60G50 |
| url | https://arxiv.org/abs/2601.16554 |