Small deviations for critical Galton-Watson processes with infinite variance
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910945423392768 |
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| author | Vatutin, Vladimir Dyakonova, Elena Khusanbaev, Yakubdjan |
| author_facet | Vatutin, Vladimir Dyakonova, Elena Khusanbaev, Yakubdjan |
| contents | We study the asymptotic behavior of small deviation probabilities for the critical Galton-Watson processes with infinite variance of the offspring sizes of particles and apply the obtained result to investigate the structure of a reduced critical Galton-Watson process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Small deviations for critical Galton-Watson processes with infinite variance Vatutin, Vladimir Dyakonova, Elena Khusanbaev, Yakubdjan Probability 60J80, 60F10 We study the asymptotic behavior of small deviation probabilities for the critical Galton-Watson processes with infinite variance of the offspring sizes of particles and apply the obtained result to investigate the structure of a reduced critical Galton-Watson process. |
| title | Small deviations for critical Galton-Watson processes with infinite variance |
| topic | Probability 60J80, 60F10 |
| url | https://arxiv.org/abs/2505.10137 |