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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on limit theorems for Markov branching processes
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by Howard Conner PDF
Proc. Amer. Math. Soc. 18 (1967), 76-86 Request permission
References
  • 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 154334, DOI 10.1112/plms/s3-13.1.593
  • H. T. Croft, A question of limits, Eureka 20 (1957), 11-13.
  • Theodore E. Harris, The theory of branching processes, Die Grundlehren der mathematischen Wissenschaften, Band 119, Springer-Verlag, Berlin; Prentice Hall, Inc., Englewood Cliffs, N.J., 1963. MR 0163361
  • H. Kesten and B. P. Stigum, A limit theorem for multidimensional Galton-Watson processes, Ann. Math. Statist. 37 (1966), 1211–1223. MR 198552, DOI 10.1214/aoms/1177699266
  • B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR 0062975
  • A. Joffe, On the Galton-Watson branching process with mean less than one, Ann. Math. Statist. 38 (1967), 264–266. MR 205337, DOI 10.1214/aoms/1177699079
  • 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
  • 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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Additional Information
  • © Copyright 1967 American Mathematical Society
  • 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