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Volumn 37, Issue 6, 2009, Pages 2404-2430

Fractional martingales and characterization of the fractional Brownian motion

Author keywords

variation; Fractional brownian motion; Fractional martingale; L vy's characterization theorem

Indexed keywords


EID: 77049095363     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-AOP464     Document Type: Article
Times cited : (27)

References (11)
  • 1
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    • Berman, S.M.1
  • 3
    • 0002902384 scopus 로고
    • Occupation densities
    • Geman, D. and Horowitz, J. (1980). Occupation densities. Ann. Probab. 8 1-67.
    • (1980) Ann. Probab. , vol.8 , pp. 1-67
    • Geman, D.1    Horowitz, J.2
  • 4
    • 18144416186 scopus 로고    scopus 로고
    • Integral transformations and anticipative calculus for fractional Brownian motions
    • Hu, Y. (2005). Integral transformations and anticipative calculus for fractional Brownian motions. Mem. Amer. Math. Soc. 175.
    • (2005) Mem. Amer. Math. Soc. , vol.175
    • Hu, Y.1
  • 6
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B.B. and Van Ness, J. W. (1968). Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 8
    • 0001714525 scopus 로고    scopus 로고
    • An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
    • Norros, I., Valkeila, E. and Virtamo, J. (1999). An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions. Bernoulli 5 571-587.
    • (1999) Bernoulli , vol.5 , pp. 571-587
    • Norros, I.1    Valkeila, E.2    Virtamo, J.3
  • 9
    • 13344283509 scopus 로고    scopus 로고
    • Stochastic integration with respect to fractional Brownian motion and applications
    • Nualart, D. (2003). Stochastic integration with respect to fractional Brownian motion and applications. Contemp. Math. 336 3-39.
    • (2003) Contemp. Math. , vol.336 , pp. 3-39
    • Nualart, D.1
  • 10
    • 0031540977 scopus 로고    scopus 로고
    • Arbitrage with fractional Brownian motion
    • Rogers, L. C. G. (1997). Arbitrage with fractional Brownian motion. Math. Finance 7 95-105.
    • (1997) Math. Finance , vol.7 , pp. 95-105
    • Rogers, L.C.G.1
  • 11
    • 0003598080 scopus 로고
    • Fractional Integrals and Derivatives: Theory and Applications
    • Gordon and Breach, Yverdon
    • Samko, S.G., Kilbas, A.A. and Marichev, O. I. (1993). Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach, Yverdon.
    • (1993)
    • Samko, S.G.1    Kilbas, A.A.2    Marichev, O.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.