Asymptotics of nearly critical Galton-Watson processes with immigration
We investigate the inhomogeneous Galton-Watson processes with immigration, where pn, the offspring means in the nt h generation, tends to 1. We show that if the second derivatives of the offspring generating functions go to 0 rapidly enough, then the asymptotics are the same as in the INAR(l) case,...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16413 |
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| 100 | 1 | |a Kevei Péter | |
| 245 | 1 | 0 | |a Asymptotics of nearly critical Galton-Watson processes with immigration |h [elektronikus dokumentum] / |c Kevei Péter |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2011 | ||
| 300 | |a 681-702 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 77 No. 3-4 | |
| 520 | 3 | |a We investigate the inhomogeneous Galton-Watson processes with immigration, where pn, the offspring means in the nt h generation, tends to 1. We show that if the second derivatives of the offspring generating functions go to 0 rapidly enough, then the asymptotics are the same as in the INAR(l) case, treated in [4]. We also determine the limit if this assumption does not hold showing the optimality of the conditions. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16413/1/math_077_numb_003_004_681-702.pdf |z Dokumentum-elérés |