메뉴 건너뛰기




Volumn 116, Issue 10, 2006, Pages 1341-1357

Transformation formulas for fractional Brownian motion

Author keywords

Fractional Brownian motion; Fractional calculus; Integral transform; Stochastic integration

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; INTEGRATION; RANDOM PROCESSES;

EID: 33748743623     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2006.02.006     Document Type: Article
Times cited : (66)

References (15)
  • 3
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis of the fractional Brownian motion
    • Decreusefond L., and Üstünel A.S. Stochastic analysis of the fractional Brownian motion. Potential Analysis 10 (1999) 177-214
    • (1999) Potential Analysis , vol.10 , pp. 177-214
    • Decreusefond, L.1    Üstünel, A.S.2
  • 5
    • 33748745982 scopus 로고    scopus 로고
    • C. Jost, A note on the connection between Molchan-Golosov- and Mandelbrot-Van Ness representation of fractional Brownian motion, Preprint 424, Department of Mathematics and Statistics, University of Helsinki, 2005. Available from http://www.arxiv.org under Id math.PR/0602356
  • 6
    • 0001187166 scopus 로고
    • Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum
    • Kolmogorov A.N. Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum. Comptes Rendus (Doklady) Académie des Sciences USSR 26 (1940) 115-118
    • (1940) Comptes Rendus (Doklady) Académie des Sciences USSR , vol.26 , pp. 115-118
    • Kolmogorov, A.N.1
  • 7
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot B.B., and Van Ness J.W. Fractional Brownian motions, fractional noises and applications. SIAM Review 10 4 (1968) 422-437
    • (1968) SIAM Review , vol.10 , Issue.4 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 8
    • 0001092940 scopus 로고
    • Gaussian stationary processes with asymptotic power spectrum
    • Molchan G., and Golosov J. Gaussian stationary processes with asymptotic power spectrum. Soviet Mathematics Doklady 10 1 (1969) 134-137
    • (1969) Soviet Mathematics Doklady , vol.10 , Issue.1 , pp. 134-137
    • Molchan, G.1    Golosov, J.2
  • 9
    • 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. An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions. Bernoulli 5 4 (1999) 571-587
    • (1999) Bernoulli , vol.5 , Issue.4 , pp. 571-587
    • Norros, I.1    Valkeila, E.2    Virtamo, J.3
  • 10
    • 33644802217 scopus 로고    scopus 로고
    • Fractional calculus and its connections to fractional Brownian motion
    • Doukhan P., Oppenheim G., and Taqqu M.S. (Eds), Birkhäuser
    • Pipiras V., and Taqqu M.S. Fractional calculus and its connections to fractional Brownian motion. In: Doukhan P., Oppenheim G., and Taqqu M.S. (Eds). Theory and Applications of Long-Range Dependence (2003), Birkhäuser 165-201
    • (2003) Theory and Applications of Long-Range Dependence , pp. 165-201
    • Pipiras, V.1    Taqqu, M.S.2
  • 12
    • 33750073208 scopus 로고    scopus 로고
    • Are classes of deterministic integrands for fractional Brownian motion on an interval complete?
    • Pipiras V., and Taqqu M.S. Are classes of deterministic integrands for fractional Brownian motion on an interval complete?. Bernoulli 7 6 (2001) 873-897
    • (2001) Bernoulli , vol.7 , Issue.6 , pp. 873-897
    • Pipiras, V.1    Taqqu, M.S.2
  • 13
    • 0034562433 scopus 로고    scopus 로고
    • Integration questions related to fractional Brownian motion
    • Pipiras V., and Taqqu M.S. Integration questions related to fractional Brownian motion. Probability Theory and Related Fields 118 2 (2000) 251-291
    • (2000) Probability Theory and Related Fields , vol.118 , Issue.2 , pp. 251-291
    • Pipiras, V.1    Taqqu, M.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.