A functional limit theorem for a critical branching process in a random environment

Discrete Mathematics and Applications

Volumn 11, Issue 6, 2001, Pages 587-606

  Afanasyev, V I ^a  

^a NONE

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EID: 0035709748     PISSN: 09249265     EISSN: None     Source Type: Journal    
DOI: 10.1515/dma.2001.11.6.587     Document Type: Article

References (8)

1. V. I. Afanasyev, A new theorem for a critical branching process in random environment. Discrete Math. Appl. (1997) 7,497-513.
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3. V. I. Afanasyev, Limit theorems for intermediately subcritical and strongly subcritical branching processes in a random environment. Discrete Math. Appl. (2001) 11, 105-131.
4. M. V. Kozlov, On the asymptotic behavior of the probability of non-extinction for critical branching processes in a random environment. Theory Probab. Appl (1976) 21, 791-804.
5. V. I. Afanasyev, A limit theorem for a critical branching process in a random environment. Diskretnaya Mafematika (1993) 5, No. 1,45-58 (in Russian).
6. K. A. Borovkov and V. A. Vatutin, Reduced critical branching processes in random environment. Stoch. Proc. Appl. (1997) 71, 225-240.
7. P. Billingsley, Convergence of Probability Measures. Wiley, New York, 1968.
8. J. Geiger and G. Kersting G., The survival probability of a critical branching process in random environment. Theory Probab. Appl. (2000) 45, 607-615.