Subcritical branching processes in a random environment without the Cramer condition
V. Vatutin, X. Zheng

Эта публикация цитируется в следующих статьяx:

1. Xiequan Fan, Qi-Man Shao, “Self-normalized Cramér type moderate deviations for martingales and applications”, Bernoulli, 31:1 (2025)  
2. Chun Mao Huang, Rui Zhang, Zhi Qiang Gao, “Precise Asymptotics in Limit Theorems for a Supercritical Branching Process with Immigration in a Random Environment”, Acta. Math. Sin.-English Ser., 2024  
3. Ion Grama, Quansheng Liu, Eric Miqueu, “Asymptotics of the distribution and harmonic moments for a supercritical branching process in a random environment”, Ann. Inst. H. Poincaré Probab. Statist., 59:4 (2023)  
4. Wei Xu, “Asymptotics for exponential functionals of random walks”, Stochastic Processes and their Applications, 165 (2023), 1  
5. Sergey Foss, Dmitry Korshunov, Zbigniew Palmowski, “Branching processes with immigration in atypical random environment”, Extremes, 25:1 (2022), 55  
6. Doudou Li, Vladimir Vatutin, Mei Zhang, “Subcritical branching processes in random environment with immigration stopped at zero”, J. Theor. Probability, 34:2 (2021), 874–896        
7. Zhi-Qiang Gao, “Exact convergence rate in the central limit theorem for a branching process in a random environment”, Statistics & Probability Letters, 178 (2021), 109194  
8. Wei Xu, “Asymptotic results for heavy-tailed Lévy processes and their exponential functionals”, Bernoulli, 27:4 (2021)  
9. В. А. Ватутин, Е. Е. Дьяконова, “Докритические ветвящиеся процессы в случайной среде с иммиграцией: выживание одного семейства”, Теория вероятн. и ее примен., 65:4 (2020), 671–692      ; V. A. Vatutin, E. E. D'yakonova, “Subcritical branching processes in random environment with immigration: Survival of a single family”, Theory Probab. Appl., 65:4 (2021), 527–544    
10. Xiequan Fan, Haijuan Hu, Quansheng Liu, “Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment”, Front. Math. China, 15:5 (2020), 891  
11. Ion Grama, Quansheng Liu, Eric Miqueu, “Berry–Esseen's bound and Cramér's large deviation expansion for a supercritical branching process in a random environment”, Stochastic Processes and their Applications, 127:4 (2017), 1255  
12. Ion Grama, Quansheng Liu, Eric Miqueu, “Harmonic moments and large deviations for a supercritical branching process in a random environment”, Electron. J. Probab., 22:none (2017)  
13. Vincent Bansaye, Vladimir Vatutin, “On the survival probability for a class of subcritical branching processes in random environment”, Bernoulli, 23:1 (2017), 58–88        
14. YanQing Wang, QuanSheng Liu, “Limit theorems for a supercritical branching process with immigration in a random environment”, Sci. China Math., 60:12 (2017), 2481  
15. Discrete Time Branching Processes in Random Environment, 2017, 275  
16. Vladimir Vatutin, “Subcritical Branching Processes in Random Environment”, Lecture Notes in Stat., 219 (2016), 97–115