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Status已发表Published
TitleExistence of limiting distribution for affine processes
Creator
Date Issued2020-06-15
Source PublicationJournal of Mathematical Analysis and Applications
ISSN0022-247X
Volume486Issue: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.

KeywordAffine process Generalized Riccati equation Limiting distribution Stationary distribution
DOI10.1016/j.jmaa.2020.123912
URLView source
Indexed BySCIE ; SSCI
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000519337100007
Scopus ID2-s2.0-85078740749
Citation statistics
Cited Times:19[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/7931
CollectionResearch outside affiliated institution
Corresponding AuthorJin, 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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