Total Progeny in a Subcritical Branching Process with two Types of Immigration
| Data(s) |
23/02/2014
23/02/2014
2004
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| Resumo |
2000 Mathematics Subject Classification: 60J80, 60F05 We consider subcritical Bellman-Harris branching processes with two types of immigration - one appears whenever the process hits zero state and an other one is in accordance of an independent renewal process. The law of large numbers (LLN) for the total progeny of these processes and Anscombe's type central limit theorem (CLT) for the total number of particles in the cycles completely finished by the moment t are obtained. The paper is supported by NFSI-Bulgaria, Grant No. MM-1101/2001. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 16, No 1, (2004), 229p-243p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Central Limit Theorem #Total Progeny #Bellman-Harris Branching Processes #Law of Large Numbers #Renewal Processes |
| Tipo |
Article |
