Analogues of classical limit theorems for the supercritical Galton-Watson process with immigration

Author:

Heyde C.C.,Seneta E.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Agricultural and Biological Sciences,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modelling and Simulation,General Medicine,Statistics and Probability

Reference9 articles.

1. Some central limit analogues for supercritical Galton-Watson processes;Heyde;J. Appl. Prob.,1971

2. C.C. Heyde, Some almost sure convergence theorems for branching processes (submitted for publication).

3. C.C. Heyde and B.M. Brown, An invariance principle and some convergence rate results for branching processes (submitted for publication).

4. Limit theorems for decomposable multidimensional Galton-Watson processes;Kesten;J. Math. Anal. Applic.,1967

5. On the estimation of the mean number of direct descendants of a particle in a branching random process;Nagaev;Teor. Veroyat. Primenen.,1967

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1. Deviation estimations for Lotka-Nagaev estimator of a branching process with immigration;Journal of Mathematical Inequalities;2022

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

3. Limit Theorems for a Galton–Watson Process with Immigration in Varying Environments;Bulletin of the Malaysian Mathematical Sciences Society;2014-12-17

4. Conditional Least Squares Estimators for the Offspring Mean in a Subcritical Branching Process with Immigration;Communications in Statistics - Theory and Methods;2012-06-15

5. Estimation of the offspring mean in a supercritical branching process with non-stationary immigration;Statistics & Probability Letters;2011-08

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