Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

SOME LIMIT THEOREMS FOR POSITIVE RECURRENT AGE-DEPENDENT BRANCHING PROCESSES

  • Published : 2001.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we consider an age dependent branching process whose particles move according to a Markov process with continuous state space. The Markov process is assumed to the stationary with independent increments and positive recurrent. We find some sufficient conditions for he Markov motion process such that the empirical distribution of the positions converges to the limiting distribution of the motion process.

Keywords

References

  1. Applied Probability and Queues S. Asmussen
  2. I Advances in Applied Probabilit v.30 no.3 Some limit theorems for positive recurrent branching Markov chains K.B. Athreya;H-J. Kang
  3. Annals of Probability v.4 Convergence of the age-distribution in the one-dimensional age-dependent branching processes K.B. Athreya;N. Kaplan
  4. Branching Processes K.B. Athreya;P. Ney
  5. J. Korean Math. Soc. v.36 no.1 Law of large numbers for branching Brownian motion H-J. Kang