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Volumn 11, Issue 2, 2001, Pages 470-487

Joint characteristic function and simultaneous simulation of iterated Itô integrals for multiple independent Brownian motions

Author keywords

Iterated it integral; Multidimensional stochastic differential equation; Numerical approximation; Variance mixture

Indexed keywords


EID: 0035538464     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015345301     Document Type: Article
Times cited : (134)

References (12)
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  • 4
    • 0007266479 scopus 로고
    • The approximation of multiple stochastic integrals
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    • (1992) Stochastic Anal. Appl. , vol.10 , pp. 431-441
    • Kloeden, P.E.1    Platen, E.2    Wright, W.3
  • 5
    • 0002497037 scopus 로고
    • Wiener's random functional and other Laplacian random functionals
    • Univ. California Press, Berkeley
    • LÉVY, P. (1951). Wiener's random functional and other Laplacian random functionals. Proc. Second Berkeley Symp. Math. Statist. Probab. 171-187. Univ. California Press, Berkeley.
    • (1951) Proc. Second Berkeley Symp. Math. Statist. Probab. , pp. 171-187
    • Lévy, P.1
  • 8
    • 0000532550 scopus 로고
    • Approximate integration of stochastic differential equations
    • MILSHTEIN, G. N. (1974). Approximate integration of stochastic differential equations. Theory Probab. Appl. 19 557-562.
    • (1974) Theory Probab. Appl. , vol.19 , pp. 557-562
    • Milshtein, G.N.1
  • 9
    • 0001767350 scopus 로고
    • On the representation of infinitely divisible random vectors
    • ROSINSKI, J. (1990). On the representation of infinitely divisible random vectors. Ann. Probab. 18 405-430.
    • (1990) Ann. Probab. , vol.18 , pp. 405-430
    • Rosinski, J.1
  • 10
    • 0001040012 scopus 로고
    • Numerical treatment of stochastic differential equations
    • RÜMELIN, W. (1982). Numerical treatment of stochastic differential equations. SIAM J. Numer. Anal. 19 604-613.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 604-613
    • Rümelin, W.1
  • 11
    • 0007336796 scopus 로고    scopus 로고
    • On the simulation of iterated Itô integrals
    • RYDÉN, T. and WIKTORSSON, M. (2001). On the simulation of iterated Itô integrals. Stochastic Process. Appl. 91 151-168.
    • (2001) Stochastic Process. Appl. , vol.91 , pp. 151-168
    • Rydén, T.1    Wiktorsson, M.2
  • 12
    • 0007321266 scopus 로고
    • Perks distributions and their role in the theory of Wiener's stochastic variables
    • TALACKO, J. (1956). Perks distributions and their role in the theory of Wiener's stochastic variables. Trabajos de Estadistica 7 159-174.
    • (1956) Trabajos de Estadistica , vol.7 , pp. 159-174
    • Talacko, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.