Status | 已发表Published |
Title | Existence of limiting distribution for affine processes |
Creator | |
Date Issued | 2020-06-15 |
Source Publication | Journal of Mathematical Analysis and Applications
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ISSN | 0022-247X |
Volume | 486Issue:2 |
Abstract | In this paper, sufficient conditions are given for the existence of limiting distribution of a conservative affine process on the canonical state space R ×R, where m,n∈Z with m+n>0. Our main theorem extends and unifies some known results for OU-type processes on R and one-dimensional CBI processes (with state space R). To prove our result, we combine analytical and probabilistic techniques; in particular, the stability theory for ODEs plays an important role. |
Keyword | Affine process Generalized Riccati equation Limiting distribution Stationary distribution |
DOI | 10.1016/j.jmaa.2020.123912 |
URL | View source |
Indexed By | SCIE ; SSCI |
Language | 英语English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000519337100007 |
Scopus ID | 2-s2.0-85078740749 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/7931 |
Collection | Research outside affiliated institution |
Corresponding Author | Jin, Peng |
Affiliation | 1.Department of Mathematics, Shantou University, Shantou, 515063, China 2.Fakultät für Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, Wuppertal, 42119, Germany |
Recommended Citation GB/T 7714 | Jin, Peng,Kremer, Jonas,Rüdiger, Barbara. Existence of limiting distribution for affine processes[J]. Journal of Mathematical Analysis and Applications, 2020, 486(2). |
APA | Jin, Peng, Kremer, Jonas, & Rüdiger, Barbara. (2020). Existence of limiting distribution for affine processes. Journal of Mathematical Analysis and Applications, 486(2). |
MLA | Jin, Peng,et al."Existence of limiting distribution for affine processes". Journal of Mathematical Analysis and Applications 486.2(2020). |
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