Huang, Chun Mao; Zhang, Rui; Gao, Zhi Qiang Precise asymptotics in limit theorems for a supercritical branching process with immigration in a random environment. (English) Zbl 1547.60076 Acta Math. Sin., Engl. Ser. 40, No. 8, 1850-1874 (2024). MSC: 60J80 60K37 60F05 60F10 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Yinna From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment. (English) Zbl 1547.60080 Stat. Probab. Lett. 214, Article ID 110194, 8 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60J80 60K37 60F05 62E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Afanasyev, Valeriy I. Weakly supercritical branching process in unfavourable environment. (English. Russian original) Zbl 1543.60099 Discrete Math. Appl. 34, No. 1, 1-13 (2024); translation from Diskretn. Mat. 34, No. 3, 3-19 (2022). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xulan Quenched weighted moments for a branching process with immigration in a random environment. (English) Zbl 1537.60115 Stoch. Models 40, No. 2, 278-295 (2024). MSC: 60J80 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Grama, Ion; Liu, Quansheng; Pin, Erwan A Kesten-Stigum type theorem for a supercritical multitype branching process in a random environment. (English) Zbl 1515.60275 Ann. Appl. Probab. 33, No. 2, 1213-1251 (2023). MSC: 60J80 60J85 60K37 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Xiao, Sheng; Liu, Xiang-dong; Li, Ying-qiu A.S. convergence rate and \(L^p\)-convergence of bisexual branching processes in a random environment and varying environment. (English) Zbl 1514.60099 Acta Math. Appl. Sin., Engl. Ser. 39, No. 2, 337-353 (2023). MSC: 60J80 60K37 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chunmao; Wang, Chen; Wang, Xiaoqiang Moments and asymptotic properties for supercritical branching processes with immigration in random environments. (English) Zbl 1507.60108 Stoch. Models 39, No. 1, 21-40 (2023). MSC: 60J80 60K37 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Rongli; Ren, Yan-Xia; Song, Renming Convergence rate for a class of supercritical superprocesses. (English) Zbl 1500.60055 Stochastic Processes Appl. 154, 286-327 (2022). MSC: 60J68 60F15 60F25 60G57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Chunmao; Wang, Chen; Wang, Xiaoqiang Moments and large deviations for supercritical branching processes with immigration in random environments. (English) Zbl 1513.60125 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 49-72 (2022). MSC: 60K37 60J80 60F10 × Cite Format Result Cite Review PDF Full Text: DOI
Buraczewski, Dariusz; Damek, Ewa Limit theorems for supercritical branching processes in random environment. (English) Zbl 1489.60160 Bernoulli 28, No. 3, 1602-1624 (2022). MSC: 60K37 60J80 60F05 60K05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Grama, Ion; Liu, Quansheng; Pin, Erwan Convergence in \(L^p\) for a supercritical multi-type branching process in a random environment. (English. Russian original) Zbl 1509.60179 Proc. Steklov Inst. Math. 316, 160-183 (2022); translation from Tr. Mat. Inst. Steklova 316, 169-194 (2022). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60J80 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Gao, Zhi-Qiang Exact convergence rate in the central limit theorem for a branching process in a random environment. (English) Zbl 1476.60153 Stat. Probab. Lett. 178, Article ID 109194, 10 p. (2021). MSC: 60J80 60K37 60F05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuejiao; Liu, Zaiming; Liu, Quansheng; Li, Yingqiu Asymptotic properties of a branching random walk with a random environment in time. (English) Zbl 1499.60333 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1345-1362 (2019). MSC: 60K37 60J80 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Damek, Ewa; Gantert, Nina; Kolesko, Konrad Absolute continuity of the martingale limit in branching processes in random environment. (English) Zbl 1481.60177 Electron. Commun. Probab. 24, Paper No. 42, 13 p. (2019). MSC: 60J80 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Wang, Xiaoqiang; Huang, Chunmao Convergence of complex martingale for a branching random walk in a time random environment. (English) Zbl 1481.60183 Electron. Commun. Probab. 24, Paper No. 41, 14 p. (2019). MSC: 60J80 60K37 60G50 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Wang, YanQing; Liu, QuanSheng Limit theorems for a supercritical branching process with immigration in a random environment. (English) Zbl 1390.60315 Sci. China, Math. 60, No. 12, 2481-2502 (2017). MSC: 60J80 60F10 60F25 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoqiang; Huang, Chunmao Convergence of martingale and moderate deviations for a branching random walk with a random environment in time. (English) Zbl 1386.60298 J. Theor. Probab. 30, No. 3, 961-995 (2017). MSC: 60J80 60K37 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yuejiao; Liu, Zaiming; Li, Yingqiu; Liu, Quansheng On the concept of subcriticality and criticality and a ratio theorem for a branching process in a random environment. (English) Zbl 1380.60081 Stat. Probab. Lett. 127, 97-103 (2017). MSC: 60J80 60K37 × Cite Format Result Cite Review PDF Full Text: DOI
Grama, Ion; Liu, Quansheng; Miqueu, Eric Berry-Esseen’s bound and Cramér’s large deviation expansion for a supercritical branching process in a random environment. (English) Zbl 1358.60089 Stochastic Processes Appl. 127, No. 4, 1255-1281 (2017). MSC: 60J80 60K37 60J05 60J85 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Chunmao Moments for multidimensional Mandelbrot cascades. (English) Zbl 1341.60027 J. Appl. Probab. 53, No. 1, 1-21 (2016). MSC: 60G42 60J80 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bansaye, Vincent; Huang, Chunmao Weak law of large numbers for some Markov chains along non homogeneous genealogies. (English) Zbl 1333.60026 ESAIM, Probab. Stat. 19, 307-326 (2015). MSC: 60F05 60J10 60J80 60K37 60J85 60F15 92D25 92D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yingqiu; Liu, Quansheng; Gao, Zhiqiang; Wang, Hesong Asymptotic properties of supercritical branching processes in random environments. (English) Zbl 1308.60100 Front. Math. China 9, No. 4, 737-751 (2014). MSC: 60J80 60K37 60F05 60F10 × Cite Format Result Cite Review PDF Full Text: DOI
Bansaye, Vincent; Böinghoff, Christian Lower large deviations for supercritical branching processes in random environment. (English) Zbl 1288.60106 Proc. Steklov Inst. Math. 282, 15-34 (2013). MSC: 60J80 60F10 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL