Györfi, László and Ispány, Márton and Kevei, Péter and Pap, Gyula (2015) Asymptotic Behavior of Multitype Nearly Critical Galton-Watson Processes with Immigration. THEORY OF PROBABILITY AND ITS APPLICATIONS, 59 (4). pp. 590-610. ISSN 0040-585X
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Official URL: https://doi.org/10.1137/S0040585X97T987351
Abstract
Multitype inhomogeneous Galton-Watson processes with immigration are investigated, where the offspring mean matrix slowly converges to a critical mean matrix. Under general conditions we obtain limit distribution for the process, where the coordinates of the limit vector are not necessarily independent.
| Item Type: | Article |
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| Uncontrolled Keywords: | GENES; MODELS; POPULATIONS; DISTRIBUTIONS; Toeplitz matrix; inhomogeneous model; multidimensional Poisson distribution; nearly critical model; INAR model; multiype Galton-Watson process with immigration; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Jan 2024 14:54 |
| Last Modified: | 04 Jan 2024 14:54 |
| URI: | http://real.mtak.hu/id/eprint/183743 |
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