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| Stable Central Limit Theorems for Super Ornstein–Uhlenbeck Processes, Ⅱ | |
| 引用本文： | Yan Xia REN,Ren Ming SONG,Zhen Yao SUN,Jian Jie ZHAO. Stable Central Limit Theorems for Super Ornstein–Uhlenbeck Processes, Ⅱ[J]. 数学学报(英文版), 2022, 38(3): 487-498. DOI: 10.1007/s10114-022-0559-y |
| 作者姓名： | Yan Xia REN Ren Ming SONG Zhen Yao SUN Jian Jie ZHAO |
| 作者单位： | 1. LMAM School of Mathematical Sciences & Center for Statistical Science, Peking University;2. Department of Mathematics, University of Illinois at Urbana-Champaign;3. School of Mathematics and Statistics, Wuhan University;5. School of Mathematical Sciences, Peking University |
| 基金项目： | supported in part by NSFC (Grant Nos. 11731009 and 12071011)；;the National Key R&D Program of China (Grant No. 2020YFA0712900)； |
| 摘 要： | This paper is a continuation of our recent paper(Electron. J. Probab., 24(141),(2019)) and is devoted to the asymptotic behavior of a class of supercritical super Ornstein–Uhlenbeck processes(Xt)t≥0 with branching mechanisms of infinite second moments. In the aforementioned paper, we proved stable central limit theorems for Xt(f) for some functions f of polynomial growth in three different regimes. However, we were not able to prove central limit theorems for X |
Stable Central Limit Theorems for Super Ornstein-Uhlenbeck Processes,II |
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| Ren,Yan Xia,Song, Ren Ming,Sun, Zhen Yao,Zhao, Jian Jie. Stable Central Limit Theorems for Super Ornstein-Uhlenbeck Processes,II[J]. Acta Mathematica Sinica(English Series), 2022, 38(3): 487-498. DOI: 10.1007/s10114-022-0559-y | |
| Authors: | Ren Yan Xia Song Ren Ming Sun Zhen Yao Zhao Jian Jie |
| Affiliation: | 1.LMAM School of Mathematical Sciences & Center for Statistical Science, Peking University, Beijing, 100871, P. R. China ;2.Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA ;3.School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P. R. China ;4.The Faculty of Industrial Engineering and Management, Technion, Haifa, 3200003, Israel ;5.School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China ; |
| Abstract: | Acta Mathematica Sinica, English Series - This paper is a continuation of our recent paper (Electron. J. Probab., 24(141), (2019)) and is devoted to the asymptotic behavior of a class of... |
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