Limit theorems for intermediately subcritical and strongly subcritical branching processes in a random environment

Discrete Mathematics and Applications

Volumn 11, Issue 2, 2001, Pages 105-131

  Afanasyev, V I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS;

BRANCHING PROCESS; BROWNIAN; FINITE DIMENSIONAL; GENERATING FUNCTIONS; LIMIT THEOREM; MATHEMATICAL EXPECTATION; RANDOM ENVIRONMENT;

PROBABILITY DISTRIBUTIONS;

EID: 0034958657     PISSN: 09249265     EISSN: None     Source Type: Journal    
DOI: 10.1515/dma.2001.11.2.105     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.
2. V. I. Afanasyev, Limit theorems for a moderately subcritical branching process in a random environment. Discrete Math. Appl. (1998) 8, 35-52.
3. T. Harris, Theory of Branching Processes. Prentice-Hall, Englewood Cliffs, NJ, 1963.
4. A. Agresti, On the extinction times of varying and random environment branching processes. J. Appl. Probab. (1975) 12, 39-46.
5. 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.
6. V. I. Afanasyev, A limit theorem for a critical branching process in a random environment. Diskretnaya Matematika (1993) 5, No. 1, 45-58 (in Russian).
7. R. T. Durrett, D. L. Iglehart, and D. R. Miller, Weak convergence to Brownian meander and Brownian excursion. Ann. Probab. (1977) 5, 117-129.
8. P. Billingsley, Convergence of Probability Measures. Wiley, New York, 1968.