Population size of critical Galton-Watson processes under small deviations and infinite variance
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918319616950272 |
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| author | Vatutin, Vladimir Dyakonova, Elena |
| author_facet | Vatutin, Vladimir Dyakonova, Elena |
| contents | We study the evolution of the population size distribution of a critical Galton-Watson process with infinite variance of the offspring size of particles assuming that the population size is unusually small at the distant moment $n$ of observation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02346 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Population size of critical Galton-Watson processes under small deviations and infinite variance Vatutin, Vladimir Dyakonova, Elena Probability Primary 60J80, Secondary 60E07 We study the evolution of the population size distribution of a critical Galton-Watson process with infinite variance of the offspring size of particles assuming that the population size is unusually small at the distant moment $n$ of observation. |
| title | Population size of critical Galton-Watson processes under small deviations and infinite variance |
| topic | Probability Primary 60J80, Secondary 60E07 |
| url | https://arxiv.org/abs/2602.02346 |