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Volumn 32, Issue 3 A, 2004, Pages 1830-1872

The Euler scheme for Lévy driven stochastic differential equations: Limit theorems

Author keywords

Euler scheme; L vy process; Rate of convergence

Indexed keywords


EID: 4544330746     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117904000000667     Document Type: Article
Times cited : (70)

References (13)
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    • The law of the Euler scheme for stochastic differential equations: I-Convergence rate of the distribution function
    • BALLY, V. and TALAY, D. (1996a). The law of the Euler scheme for stochastic differential equations: I-Convergence rate of the distribution function. Probab. Theory Related Fields 104 43-60.
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    • Bally, V.1    Talay, D.2
  • 2
    • 0002308425 scopus 로고    scopus 로고
    • The law of the Euler scheme for stochastic differential equations: I5-Approximation of the density
    • BALLY, V. and TALAY, D. (1996b). The law of the Euler scheme for stochastic differential equations: I5-Approximation of the density. Monte Carlo Methods Appl. 2 93-128.
    • (1996) Monte Carlo Methods Appl. , vol.2 , pp. 93-128
    • Bally, V.1    Talay, D.2
  • 3
    • 22044434402 scopus 로고    scopus 로고
    • Asymptotic error distributions for the Euler method for stochastic differential equations
    • JACOD, J. and PROTTER, P. (1998). Asymptotic error distributions for the Euler method for stochastic differential equations. Ann. Probab. 26 267-307.
    • (1998) Ann. Probab. , vol.26 , pp. 267-307
    • Jacod, J.1    Protter, P.2
  • 7
    • 0000367265 scopus 로고
    • Weak limit theorems for stochastic integrals and stochastic differential equations
    • KURTZ, T. G. and PROTTER, P. (1991a). 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.G.1    Protter, P.2
  • 8
    • 0009220140 scopus 로고
    • Wong-Zakai corrections, random evolutions and numerical schemes for SDEs
    • (E. Mayer-Wolf, E. Merzbach and A. Schwartz, eds.). Academic Press, New York
    • KURTZ, T. G. and PROTTER, P. (1991b). Wong-Zakai corrections, random evolutions and numerical schemes for SDEs. In Stochastic Analysis (E. Mayer-Wolf, E. Merzbach and A. Schwartz, eds.) 331-346. Academic Press, New York.
    • (1991) Stochastic Analysis , pp. 331-346
    • Kurtz, T.G.1    Protter, P.2
  • 10
    • 0000149164 scopus 로고
    • Condition UT et stabilité en loi des solutions d'équations différentielles stochastiques
    • Springer, Berlin
    • MÉMIN, J. and SŁOMIŃSKI, L. (1991). Condition UT et stabilité en loi des solutions d'équations différentielles stochastiques. Séminaire de Probabilités XXV. Lecture Notes in Math. 1485 162-177. Springer, Berlin.
    • (1991) Séminaire de Probabilités XXV. Lecture Notes in Math , vol.1485 , pp. 162-177
    • Mémin, J.1    SŁomiński, L.2
  • 11
    • 0031514913 scopus 로고    scopus 로고
    • The Euler scheme for Lévy driven stochastic differential equations
    • PROTTER, P. and TALAY, D. (1997). The Euler scheme for Lévy driven stochastic differential equations. Ann. Probab. 25 393-423.
    • (1997) Ann. Probab. , vol.25 , pp. 393-423
    • Protter, P.1    Talay, D.2
  • 12
    • 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
    • 0000124397 scopus 로고
    • Expansion of the global error for numerical schemes solving stochastic differential equations
    • TALAY, D. and TUBARO, L. (1990). Expansion of the global error for numerical schemes solving stochastic differential equations. Stochastic Anal. Appl. 8 94-120.
    • (1990) Stochastic Anal. Appl. , vol.8 , pp. 94-120
    • Talay, D.1    Tubaro, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.