A centra-limit theorem for conservative fragmentation chain
| Autor: | Noûs, Camille, Rubenthaler, Sylvain |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We are interested in a fragmentation process. We observe fragments frozen when their sizes are less than {\epsilon} ({\epsilon} > 0). It is known ([BM05]) that the empirical measure of these fragments converges in law, under some renormalization. In [HK11], the authors show a bound for the rate of convergence. Here, we show a central-limit theorem, under some assumptions. This gives us an exact rate of convergence. Comment: arXiv admin note: substantial text overlap with arXiv:1907.12405 |
| Databáze: | arXiv |
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