Limit theorems for some functionals of certain Galton-Watson branching processes
- 1 June 1974
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 6 (2) , 309-321
- https://doi.org/10.2307/1426295
Abstract
This paper extends the Feller-Jiřina theorem on the diffusion approximation of Galton-Watson branching processes with reproduction mean close to one, and limit theorems are obtained for several functionals of such processes.Keywords
This publication has 8 references indexed in Scilit:
- Weak convergence of probability measures and random functions in the function space D[0,∞)Journal of Applied Probability, 1973
- Convergence of critical Galton-Watson branching processesJournal of Applied Probability, 1972
- Some limit theorems for the total progeny of a branching processAdvances in Applied Probability, 1971
- Heavy traffic approximations for the Galton-Watson processAdvances in Applied Probability, 1971
- On Feller's branching diffusion processesČasopis pro pěstování matematiky, 1969
- The Galton-Watson Process with Mean One and Finite VarianceTheory of Probability and Its Applications, 1966
- The Theory of Branching ProcessesPublished by Springer Nature ,1963
- Diffusion Processes in GeneticsPublished by University of California Press ,1951