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An Explicit-Limit Theorem for the Critical Galton-Watson Process with Immigration

  • Published:1970-01 Issue:1 Volume:32 Page:149-152
  • ISSN:0035-9246
  • Container-title:Journal of the Royal Statistical Society: Series B (Methodological)
  • language:en
  • Short-container-title:Journal of the Royal Statistical Society: Series B (Methodological)

Author:

Seneta E.1

Affiliation:

1. Statistical Laboratory; University of Cambridge

Publisher

Wiley

Subject

Statistics and Probability

Reference6 articles.

1. The Galton-Watson process with mean one and finite variance;Kesten;Teor. Veroyat. Primenen.,1966

2. A limit theorem for the Galton-Watson process with immigration;Quine;Aust. J. Statist.,1969

3. The stationary distribution of a branching process allowing immigration: A remark on the critical case;Seneta;J. R. Statist. Soc. B,1968

4. Functional equations and the Galton-Watson process;Seneta;Adv. in Appl. Prob.,1969

5. Limit theorems for branching random processes of special form (in Russian);Sevastyanov;Teor. Veroyat. Primenen.,1957

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1. Discrete-time branching processes and their applications to epidemic models;AIP Conference Proceedings;2024

2. Null recurrence and transience for a binomial catastrophe model in random environment;Journal of Statistical Mechanics: Theory and Experiment;2023-03-01

3. On asymptotic structure of critical Galton-Watson branching processes allowing immigration with infinite variance;Stochastic Models;2022-02-21

4. Homogeneous Branching Processes with Non-Homogeneous Immigration;Stochastics and Quality Control;2021-12-01

5. On central limit theorems for branching processes with dependent immigration;Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics;2020
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