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Volumn 7, Issue 1, 2006, Pages 124-132

An approximate approach to fractional analysis for finance

Author keywords

Black Scholes model; Fractal Langevin equation; Fractional Brownian motion; Fractional filtering; Stochastic dynamical system

Indexed keywords

APPROXIMATION THEORY; BROWNIAN MOVEMENT; MATHEMATICAL MODELS; STOCHASTIC CONTROL SYSTEMS;

EID: 24944457150     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2004.08.012     Document Type: Article
Times cited : (57)

References (11)
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  • 2
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    • Stochastic calculus for fractional Brownian motion
    • T.E. Duncan Y. Hu B. Pasik Duncan Stochastic calculus for fractional Brownian motion SIAM Control Optim. 38 2 2000 582-612
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    • Duncan, T.E.1    Hu, Y.2    Pasik Duncan, B.3
  • 3
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    • Fractional Brownian motions, fractional noises and applications
    • B. Mandelbrot J. van Ness Fractional Brownian motions, fractional noises and applications J. SIAM Rev. 10 4 1968 422-437
    • (1968) J. SIAM Rev. , vol.10 , Issue.4 , pp. 422-437
    • Mandelbrot, B.1    van Ness, J.2
  • 4
    • 0000338690 scopus 로고    scopus 로고
    • Stochastic calculus with respect to fractional Brownian motion with Hurst index H < 1/2
    • (jointly with Alòs E. and Mazet O.)
    • D. Nualart, (jointly with Alòs E. and Mazet O.) Stochastic calculus with respect to fractional Brownian motion with Hurst index H < 1/2, J. Stoch. Proc. Appl. 6 (2000) 121-139.
    • (2000) J. Stoch. Proc. Appl. , vol.6 , pp. 121-139
    • Nualart, D.1
  • 6
    • 0031540977 scopus 로고    scopus 로고
    • Arbitrage with fractional Brownian motion
    • L.C.G. Rogers Arbitrage with fractional Brownian motion Math. Finance 7 1 1997 95-105
    • (1997) Math. Finance , vol.7 , Issue.1 , pp. 95-105
    • Rogers, L.C.G.1
  • 8
    • 24944539462 scopus 로고    scopus 로고
    • A note on fractional Brownian motion
    • T.H. Thao A note on fractional Brownian motion Vietnam J. Math. 31 3 2003 255-260
    • (2003) Vietnam J. Math. , vol.31 , Issue.3 , pp. 255-260
    • Thao, T.H.1
  • 9
    • 24944561785 scopus 로고    scopus 로고
    • Fractal Langevin equation
    • T.H. Thao T.T. Nguyen Fractal Langevin equation Vietnam J. Math. 30 1 2003 89-96
    • (2003) Vietnam J. Math. , vol.30 , Issue.1 , pp. 89-96
    • Thao, T.H.1    Nguyen, T.T.2
  • 10
    • 24944499548 scopus 로고    scopus 로고
    • On the Absence of Arbitrage Opportunity Principle for An Approximately Fractional Black-Scholes Model
    • Preprint, Institute of Mathematics, Academy of Science and Technology
    • T.H. Thao, S. Rattikan, On the Absence of Arbitrage Opportunity Principle for An Approximately Fractional Black-Scholes Model, Preprint, Institute of Mathematics, Academy of Science and Technology, 2004.
    • (2004)
    • Thao, T.H.1    Rattikan, S.2
  • 11
    • 84878041176 scopus 로고    scopus 로고
    • Évolution des cours gouvernée par un processus de type ARIMA fractionnaire, Studia Barbes-Bolyai
    • T.H. Thao C. Thomas-Agnan Évolution des cours gouvernée par un processus de type ARIMA fractionnaire Studia Barbes-Bolyai, Mathematica 48 2 2003 107-115
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    • Thao, T.H.1    Thomas-Agnan, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.