An asymptotic result for a subcritical branching process with immigration-Reference-Cited by-同舟云学术

An asymptotic result for a subcritical branching process with immigration

Published:1970-04 Issue:2 Volume:2 Page:223-228
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Pakes A. G.

Abstract

Under weak hypotheses, the geometric ergodicity of the states of a subcritical branching process with immigration is demonstrated by obtaining an asymptotic representation of the transition probabilities.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. [5] Pakes A.G. , “Branching processes with immigration”, submitted to J. Roy. Statist. Soc.

2. Functional equations and the Galton-Watson process

3. A note on slowly oscillating functions;Korevaar;Nieuw Arch. Wisk.,1949

4. A refinement of two theorems in the theory of branching processes;Heathcote;Teor. Verojatnost. i Primenen.,1967

5. A branching process allowing immigration;Heathcote;J. Roy. Statist. Soc. Ser. B,1965

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1. Branching processes. I;Journal of Soviet Mathematics;1987-10

2. A subcritical branching process with state dependent immigration;Mathematical Biosciences;1976-01

3. Asymptotic behaviour of immigration-branching processes with general set of types. I: Critical branching part;Advances in Applied Probability;1973-12

4. Asymptotic behaviour of immigration-branching processes with general set of types. I: Critical branching part;Advances in Applied Probability;1973-12