A fluctuation type limit theorem for Jiřina processes with immigration

Author:

Li Yu Qiang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. Feller, W.: Diffusion Processes in Genetics, Proc. Second Berkeley Symp. Math. Statist. Prob., University of California Press, Berkeley, 1951, 227–246

2. Jiřina, M.: On Feller’s branching diffusion processes. Časopis Pěst. Mat., 94, 84–90 (1969)

3. Kawazu, K., Watanabe, S.: Branching processes with immigration and related limit theorems. Theory Prob. Appl., 16, 34–51 (1971)

4. Li, Z.: A limit theorem of discrete Galton-Watson branching processes with immigration. J. Appl. Prob., 43, 627–634 (2006)

5. Vatutin, V., Xiong, J.: Some limit theorems for a particle system of single point catalytic branching random walks. Acta Mathematica Sinica, English Series, 23, 997–1012 (2007)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fluctuation limits of strongly degenerate branching systems;Science China Mathematics;2011-10-18

2. A Note on Estimation of Parameters for Branching Processes with Immigration;Communications in Statistics - Theory and Methods;2011-09-15

3. Limit distributions for generalized Jiřina processes with immigration;Acta Mathematica Sinica, English Series;2011-06-15

4. Occupation Time Fluctuations of Weakly Degenerate Branching Systems;Journal of Theoretical Probability;2011-04-21

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