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Literature Cited
P. Jagers, Branching Processes with Biological Applications, Wiley, London (1975).
V. A. Topchii, “Asymtpotics of the probability of nonextinction of critical general branching processes,” Teor. Veroyatn. Primen.,27, No. 4, 667–683 (1982).
W. Feller, Introduction to Probability Theory and Its Applications, Vol. II, Wiley, New York (1966).
V. A. Vatutin and A. M. Zubkov, “Branching processes. I,” Itogi Nauki i Tekhn., Ser. Veroyatn. Mat., Stat., Teor. Kibern.,23, 3–67 (1985).
V. A. Vatutin and S. M. Sagitov, “A decomposable critical branching process with two types of particles,” Tr. Mat. Inst. Steklov AN SSSR,177, 3–20 (1986).
V. A. Vatutin, “Bellman-Harris critical branching processes, starting with a large number of particles,” Mat. Zametki,40, No. 4, 527–541 (1986).
V. A. Topchii, “Limit theorems for a critical branching Crump-Mode-Jagers process,” Proceedings of the 1st World Congress of the Bernoulli Society,2, 717–720 (1987), VNU Science Press, Utrecht.
E. Senata, Regularly Varying Functions, Berlin, Springer-Verlag (1976).
V. A. Topchii, “Properties of the nonextinction probability of general critical branching processes under weak constraints,” Sib. Mat. Zh.,28, No. 5, 178–192 (1987).
Bateman Manuscript Project, Tables of Integral Transforms, McGraw-Hill, New York (1954).
Additional information
Omsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 6, pp. 135–143, November–December, 1988.
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Topchii, V.A. Properties of the total number of particles on degenerate trajectories of branching processes. Sib Math J 29, 980–986 (1988). https://doi.org/10.1007/BF00972424
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DOI: https://doi.org/10.1007/BF00972424