Backbone Decomposition of Multitype Superprocesses
| Autor: | Sandra Palau, Dorottya Fekete, Juan Carlos Pardo, José Luis Pérez |
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| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
60J80 60J68 60E10 General Mathematics Probability (math.PR) 010102 general mathematics 01 natural sciences Branching (linguistics) 010104 statistics & probability FOS: Mathematics Decomposition (computer science) Statistical physics 0101 mathematics Statistics Probability and Uncertainty Focus (optics) Mathematics - Probability Mathematics |
| Zdroj: | Journal of Theoretical Probability. 34:1149-1178 |
| ISSN: | 1572-9230 0894-9840 |
| Popis: | In this paper, we provide a construction of the so-called backbone decomposition for multitype supercritical superprocesses. While backbone decompositions are fairly well known for both continuous-state branching processes and superprocesses in the one-type case, so far no such decompositions or even description of prolific genealogies have been given for the multitype cases. Here we focus on superprocesses, but by turning the movement off, we get the prolific backbone decomposition for multitype continuous-state branching processes as an easy consequence of our results. |
| Databáze: | OpenAIRE |
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