Harmonic moments and large deviations for a critical Galton-Watson process with immigration
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s11425-019-1676-x.pdf
Reference19 articles.
1. Athreya K B, Ney P E. Branching Processes. Berlin: Springer, 1972
2. Athreya K B. Large deviation rates for branching processes I: Single type case. Ann Appl Probab, 1994, 4: 779–790
3. Borovkov A A. Estimates for sums and maxima of sums of random variables when the Cramér condition is not satisfied. Sib Math J, 2000, 41: 811–848
4. Fleischmann K, Wachtel V. Large deviations for sums indexed by the generations of a Galton-Watson process. Probab Theory Related Fields, 2008, 141: 445–470
5. Heyde C, Brown B. An invariance principle and some convergence rate results for branching processes. Z Wahrsch Verw Gebiete, 1971, 20: 271–278
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1. Large Deviations for a Critical Galton-Watson Branching Process;Acta Mathematicae Applicatae Sinica, English Series;2024-04-19
2. Limit Theorems for Critical Galton–Watson Processes with Immigration Stopped at Zero;Acta Mathematica Sinica, English Series;2023-09-08
3. Asymptotic Properties for Branching Random Walks with Immigration in Random Environments;Bulletin of the Malaysian Mathematical Sciences Society;2023-08-28
4. Harmonic Moments and Large Deviations for the Markov Branching Process with Immigration;Journal of Theoretical Probability;2023-08-14
5. Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment;Journal of Mathematical Inequalities;2023
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