A new theorem for a critical branching process in random environment

Discrete Mathematics and Applications

Volumn 7, Issue 5, 1997, Pages 497-513

  Afanasyev, V I ^a  

^a NONE

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Indexed keywords

EID: 3242665703     PISSN: 09249265     EISSN: None     Source Type: Journal    
DOI: 10.1515/dma.1997.7.5.497     Document Type: Article

References (10)

1. V. I. Afanasyev, A limit theorem for a critical branching process in random environment. Diskretnaya Matematika (1993) 5, No. 1, 45-58 (in Russian).
2. R. T. Durrett, D. L. Iglehart, and D. R. Miller, Weak convergence to brownian meander and brownian excursion. Ann. Probab. (1977) 5, 117-129.
3. M. V. Kozlov, A conditional functional limit theorem for a critical branching process in random environment. Dokl. Russian Acad. Sci. (1995) 344, 12-15 (in Russian).
4. P. Billingsley, Convergence of Probability Measures. Wiley, New York, 1968.
5. M. V. Kozlov, On asymptotics of the probability of non-extinction of critical branching processes in random environment. Theory Probab. Appl. (1976) 21, 813-825 (in Russian).
6. J. Jacod and A. N. Shiryaev, Limit Theorems for Stochastic Processes, V. 1. Springer, New York, 1987.
7. G. Hooghiemstra, Conditioned limit theorems for waiting-time processes of the M/G/1 queue. J. Appl. Probab. (1983) 20, 675-688.
8. W. Feller, Introduction to Probability Theory and its Applications. V.2, Wiley, New York, 1964.
9. V. V. Petrov, Sums of Independent Random Variables. Springer, New York, 1975.
10. A. Agresti, On the extinction times of varying and random environment brancing processes. J. Appl. Probab. (1975) 12, 39-46.