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Volumn 24, Issue 4, 1996, Pages 2141-2153

Convergence in various topologies for stochastic integrals driven by semimartingales

Author keywords

Functional convergence; Semimartingales; Skorohod topology; Stochastic integral

Indexed keywords


EID: 0030373943     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1041903222     Document Type: Article
Times cited : (19)

References (14)
  • 1
    • 0001643692 scopus 로고
    • Weak convergence of sums of moving averages in the α-stable domain of attraction
    • AVRAM, F. and TAQQU, M. (1992). Weak convergence of sums of moving averages in the α-stable domain of attraction. Ann. Probab. 20 483-503.
    • (1992) Ann. Probab. , vol.20 , pp. 483-503
    • Avram, F.1    Taqqu, M.2
  • 6
    • 0001168654 scopus 로고
    • Random time changes and convergence in distribution under the Meyer-Zheng conditions
    • KURTZ, T. (1991). Random time changes and convergence in distribution under the Meyer-Zheng conditions. Ann. Probab. 19 1010-1034.
    • (1991) Ann. Probab. , vol.19 , pp. 1010-1034
    • Kurtz, T.1
  • 7
    • 0000367265 scopus 로고
    • Weak limit theorems for stochastic integrals and stochastic differential equations
    • KURTZ, T. and PROTTER, P. (1991). Weak limit theorems for stochastic integrals and stochastic differential equations. Ann. Probab. 19 1035-1070.
    • (1991) Ann. Probab. , vol.19 , pp. 1035-1070
    • Kurtz, T.1    Protter, P.2
  • 8
    • 0000149164 scopus 로고
    • Condition UT et stabilité en loi des solutions d'equations différentieles stochastiques. Séminaires de probabilités XXV
    • Springer, Berlin
    • MÉMIN, J. and SŁOMIŃSKI, L. (1991). Condition UT et stabilité en loi des solutions d'equations différentieles stochastiques. Séminaires de Probabilités XXV. Lecture Notes in Math. 1485 162-177. Springer, Berlin.
    • (1991) Lecture Notes in Math. , vol.1485 , pp. 162-177
    • Mémin, J.1    Słomiński, L.2
  • 10
    • 0001380311 scopus 로고
    • Limit theorems for stochastic processes
    • SKOROHOD, A. V. (1956). Limit theorems for stochastic processes. Theory Probab. Appl. 1 261-290.
    • (1956) Theory Probab. Appl. , vol.1 , pp. 261-290
    • Skorohod, A.V.1
  • 11
    • 38249023375 scopus 로고
    • Stability of strong solutions of stochastic differential equations
    • SŁOMIŃSKI, L. (1989). Stability of strong solutions of stochastic differential equations. Stochastic Process. Appl. 31 173-202.
    • (1989) Stochastic Process. Appl. , vol.31 , pp. 173-202
    • Słomiński, L.1
  • 13
    • 0013530573 scopus 로고
    • Lois de semimartingales et critères de compacité. Séminaires de probabilités XIX
    • Springer, Berlin
    • STRICKER, C. (1985). Lois de semimartingales et critères de compacité. Séminaires de Probabilités XIX. Lecture Notes in Math. 1123. Springer, Berlin.
    • (1985) Lecture Notes in Math. , vol.1123
    • Stricker, C.1
  • 14
    • 0039666685 scopus 로고
    • A criterion for weak convergence of measures with an application to convergence of measures on double-struck D sign [0, 1]
    • TOPSØE, F. (1969). A criterion for weak convergence of measures with an application to convergence of measures on double-struck D sign [0, 1]. Math. Scand. 25 97-104.
    • (1969) Math. Scand. , vol.25 , pp. 97-104
    • Topsøe, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.