On Aggregation of Subcritical Galton-Watson Branching Processes with Regularly Varying Immigration
We study an iterated temporal and contemporaneous aggregation ofNindependent copies of a strongly stationary subcritical Galton-Watson branching process with regularly varying immigration having index alpha is an element of (0,2). We show that limits of finite-dimensional distributions of appropriat...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2020
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| Sorozat: | LITHUANIAN MATHEMATICAL JOURNAL
60 No. 4 |
| Tárgyszavak: | |
| doi: | 10.1007/s10986-020-09492-8 |
| mtmt: | 31733158 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/36721 |
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| 024 | 7 | |a 10.1007/s10986-020-09492-8 |2 doi | |
| 024 | 7 | |a 31733158 |2 mtmt | |
| 040 | |a SZTE Publicatio Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Barczy Mátyás | |
| 245 | 1 | 3 | |a On Aggregation of Subcritical Galton-Watson Branching Processes with Regularly Varying Immigration |h [elektronikus dokumentum] / |c Barczy Mátyás |
| 260 | |c 2020 | ||
| 300 | |a 425-451 | ||
| 490 | 0 | |a LITHUANIAN MATHEMATICAL JOURNAL |v 60 No. 4 | |
| 520 | 3 | |a We study an iterated temporal and contemporaneous aggregation ofNindependent copies of a strongly stationary subcritical Galton-Watson branching process with regularly varying immigration having index alpha is an element of (0,2). We show that limits of finite-dimensional distributions of appropriately centered and scaled aggregated partial-sum processes exist when first taking the limit asN -> infinity and then the time scalen -> infinity. The limit process is an alpha-stable process if alpha is an element of (0,1) ? (1,2) and a deterministic line with slope 1 if alpha= 1. | |
| 650 | 4 | |a Matematika | |
| 700 | 0 | 1 | |a Nedényi Fanni |e aut |
| 700 | 0 | 1 | |a Pap Gyula |e aut |
| 856 | 4 | 0 | |u http://publicatio.bibl.u-szeged.hu/36721/1/1906.00373v3.pdf |z Dokumentum-elérés |