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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References | Similar Articles | Additional Information

**[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