Composition limit theorems for multidimensional probability generating functions

  • N. L. Kaplan
Article

Keywords

Generate Function Stochastic Process Probability Theory Limit Theorem Mathematical Biology 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Athreya, K., Karlin, S.: Branching processes with random environments, I; extinction probability. Ann. Math. Statistics 42, 1499–1520 (1970).Google Scholar
  2. 2.
    Church, J. D.: Composition limit theorems for probability generating functions. Tech. Summ. Rept., No. 732, Math. Research Center, Madison, Wisc.Google Scholar
  3. 3.
    Furstenberg, H., Kesten, H.: Products of random matrices. Ann. Math. Statistics 31, 459–469 (1960).Google Scholar
  4. 4.
    Harris, T. E.: The Theory of Branching Processes. Berlin-Göttingen-Heidelberg: Springer 1963.Google Scholar
  5. 5.
    Kaplan, N.: Some properties of multitype branching processes in random environment. (To appear 1972).Google Scholar
  6. 6.
    Kaplan, N.: Topics in the theory of branching processes with random environments. (Unpublished Thesis.) Stanford University, 1970.Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • N. L. Kaplan
    • 1
  1. 1.Department of Statistics Statistics LaboratoryUniversity of California at BerkeleyBerkeleyUSA

Personalised recommendations