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

MathSciNet review:
0203819

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References | Similar Articles | Additional Information

**[1]**J. F. C. Kingman,*Ergodic properties of continuous-time Markov processes and their discrete skeletons*, Proc. London Math. Soc. (3)**13**(1963), 593–604. MR**0154334****[2]**H. T. Croft,*A question of limits*, Eureka**20**(1957), 11-13.**[3]**Theodore E. Harris,*The theory of branching processes*, Die Grundlehren der Mathematischen Wissenschaften, Bd. 119, Springer-Verlag, Berlin; Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. MR**0163361****[4]**H. Kesten and B. P. Stigum,*A limit theorem for multidimensional Galton-Watson processes*, Ann. Math. Statist.**37**(1966), 1211–1223. MR**0198552****[5]**B. V. Gnedenko and A. N. Kolmogorov,*Limit distributions for sums of independent random variables*, Addison-Wesley Publishing Company, Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR**0062975****[6]**A. Joffe,*On the Galton-Watson branching process with mean less than one*, Ann. Math. Statist.**38**(1967), 264–266. MR**0205337****[7]**H. Kesten, P. Ney, and F. Spitzer,*The Galton-Watson process with mean one and finite variance*, Teor. Verojatnost. i Primenen.**11**(1966), 579–611 (English, with Russian summary). MR**0207052****[8]**V. P. Čistyakov,*Local limit theorems for branching processes*, Teor. Veroyatnost. i Primenen.**2**(1957), 360–374 (Russian, with English summary). MR**0092287**

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DOI:
https://doi.org/10.1090/S0002-9939-1967-0203819-6

Article copyright:
© Copyright 1967
American Mathematical Society