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Volumn 94, Issue 3-4, 1999, Pages 587-602

Simulation of stochastic differential equations through the local linearization method. A comparative study

Author keywords

Local linearization method; Numerical solutions; Stochastic differential equations

Indexed keywords


EID: 0033070774     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004504506041     Document Type: Article
Times cited : (61)

References (17)
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    • Biscay, R.1    Jimenez, J.C.2    Riera, J.J.3    Valdes, P.A.4
  • 4
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    • The numerical solution of nonlinear stochastic dynamical systems: A brief introduction
    • P. E. Kloeden, E. Platen, and H. Schurz, The numerical solution of nonlinear stochastic dynamical systems: A brief introduction. Int. J. Bifur. Chaos 1:277-286 (1991).
    • (1991) Int. J. Bifur. Chaos , vol.1 , pp. 277-286
    • Kloeden, P.E.1    Platen, E.2    Schurz, H.3
  • 6
    • 0000204594 scopus 로고
    • Higher-order implicit strong numerical schemes for stochastic differential equations
    • P. E. Kloeden and E. Platen, Higher-order implicit strong numerical schemes for stochastic differential equations, J. Statist. Physics 66:283-314 (1992).
    • (1992) J. Statist. Physics , vol.66 , pp. 283-314
    • Kloeden, P.E.1    Platen, E.2
  • 9
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    • Numerical solution of differential equations with colored noise
    • G. N. Milshtein and M. V. Tret'yakov, Numerical solution of differential equations with colored noise, J. Statist. Physics 77:691-715 (1994).
    • (1994) J. Statist. Physics , vol.77 , pp. 691-715
    • Milshtein, G.N.1    Tret'yakov, M.V.2
  • 10
    • 70350303608 scopus 로고
    • Nonlinear time series models and dynamical systems
    • E. J. Hannan, P. R. Krishnaiah, and M. M. Rao, eds. North Holland
    • T. Ozaki, Nonlinear time series models and dynamical systems, in Handbook of Statistics, Vol. 5, E. J. Hannan, P. R. Krishnaiah, and M. M. Rao, eds. (North Holland, 1985).
    • (1985) Handbook of Statistics , vol.5
    • Ozaki, T.1
  • 11
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    • Statistical identification of storage models with application to stochastic hydrology
    • T. Ozaki, Statistical identification of storage models with application to stochastic hydrology, Water Resource Bull. 21:663-675 (1985).
    • (1985) Water Resource Bull. , vol.21 , pp. 663-675
    • Ozaki, T.1
  • 12
    • 0002913686 scopus 로고
    • A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach
    • T. Ozaki, A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach, Statistica Sinica 2:113-135 (1992).
    • (1992) Statistica Sinica , vol.2 , pp. 113-135
    • Ozaki, T.1
  • 13
    • 0009576144 scopus 로고
    • Simulation of stochastic differential equations
    • Y. Saito and T. Mitsui, Simulation of stochastic differential equations, Annals Inst. Statist. Math. 45:419-432 (1993).
    • (1993) Annals Inst. Statist. Math. , vol.45 , pp. 419-432
    • Saito, Y.1    Mitsui, T.2
  • 15
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    • Estimation for a continuous time stochastic processes: A new local linearization approach
    • Res. Memo., No. 524 The Institute of Statistical Mathematics, Tokyo, Japan. To appear
    • I. Shoji and T. Ozaki, Estimation for a continuous time stochastic processes: A new local linearization approach, Res. Memo., No. 524 (The Institute of Statistical Mathematics, Tokyo, Japan, 1994). To appear in Stoch. Anal. Appl.
    • (1994) Stoch. Anal. Appl.
    • Shoji, I.1    Ozaki, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.