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A note on limit theorems for Markov branching processes


Author: Howard Conner
Journal: Proc. Amer. Math. Soc. 18 (1967), 76-86
MSC: Primary 60.67
DOI: https://doi.org/10.1090/S0002-9939-1967-0203819-6
MathSciNet review: 0203819
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  • [1] J. F. C. Kingman, Continuous-time Markov processes, Proc. London Math. Soc. 13 (1963), 593-604. MR 0154334 (27:4283)
  • [2] H. T. Croft, A question of limits, Eureka 20 (1957), 11-13.
  • [3] T. E. Harris, The theory of branching processes, Prentice-Hall, Englewood Cliffs, N. J., 1964. MR 0163361 (29:664)
  • [4] B. Stigum and H. Kesten, A limit theorem for multidimensional Galton-Watson processes, preprint. MR 0198552 (33:6707)
  • [5] B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley, Reading, Mass., 1954. MR 0062975 (16:52d)
  • [6] A. Joffe, On the Galton-Watson process with mean less than one, Ann. Math. Statist. (to appear). MR 0205337 (34:5166)
  • [7] H. Kesten, P. Ney and F. Spitzer, The Galton-Watson process with mean one and finite variance, preprint. MR 0207052 (34:6868)
  • [8] V. P. Čistyakov, Local limit theorems in the theory of branching random processes, Theory of Probability and Its Applications (translation by SIAM) 2 (1957), 360-374. MR 0092287 (19:1092d)

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DOI: https://doi.org/10.1090/S0002-9939-1967-0203819-6
Article copyright: © Copyright 1967 American Mathematical Society

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