Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 40 Issue: 2

Results on the Supremum of Fractional Brownian Motion ABSTRACT | FULL TEXT

Sayfa
—
Yayın Tarihi
2011-02-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗

Özet

-

Abstract

-

🔖

Bu Makaleye Atıf Yap

Vardar, C. (2011). Results on the Supremum of Fractional Brownian Motion ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Volume: 40 Issue: 2. https://ajindex.com/articles/1403647

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. Abry, P. and Sellan, F. The wavelet-based synthesis for fractional Brownian motion proposed by F. Sellan and Y. Meyer: Remarks and fast implementation, Appl. Comp. Harmonic Anal., 337–383, 1996.
  2. Bertoin, J. Levy Processes (Cambridge University Press, Cambridge, UK, 1996).
  3. Biagini, F., Hu, Yaozhong., Oksendal, B. and Zhang, T. Stochastic Calculus for Fractional Brownian Motion and Applications (Springer Verlag, London, 2008).
  4. Caglar, M. Simulation of fractional Brownian motion with micropulses, Advances in Per- formance Analysis 3 (1), 43–69, 2000.
  5. Decreusefond, L. and Nualart, D. Hitting times For Gaussian processes, Annals Probab., 319–330, 2008.
  6. Douady, R., Yor, M. and Shiryaev, A. N. On the probability charateristics of “drop” variables in standard Brownian motion, Theory Probab. Appl. 44 (1), 29–38, 2000.
  7. Kolmogorov, A. N. Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum, C. R. (Doklady) Acad. URSS(N.S) 26, 115–118, 1940.
  8. L´evy, P. Processus Stochatiques et Mouvement Brownien (Gauthier-Villars, Paris, 1948).
  9. Mandelbrot, B. B. and Van Ness, J. W. Fractional Brownian motions, fractional noises and applications, SIAM Rev. 10, 422–437, 1968.
  10. Revuz, D. and Yor, M. Continuous Martingales and Brownian Motion (Springer Verlag, Berlin, Hiedelberg, 2001).
  11. Rogers, L. C. G. Arbitrage with fractional Brownian motion, Mathematical Finance 7, 95–, 1997.
  12. Salminen, P. and Vallois, P. On maximum increase and decrease of Brownian motion, An- nales de l’institut Henri Poincare (B) Probabilit ´Us et Statistiques 43 (6), 655–676, 2007.
  13. Sellan, F. Synth´ese de mouvements Browniens fractionaires `a l’aide de la transformation par ondelettes, C. R. Acad. Sci. Paris Ser. Math. 321, 351–358, 1995.
  14. Abry, P. and Sellan, F. The wavelet-based synthesis for fractional Brownian motion proposed by F. Sellan and Y. Meyer: Remarks and fast implementation, Appl. Comp. Harmonic Anal., 337–383, 1996.
  15. Decreusefond, L. and Nualart, D. Hitting times For Gaussian processes, Annals Probab., 319–330, 2008.
  16. Rogers, L. C. G. Arbitrage with fractional Brownian motion, Mathematical Finance 7, 95–, 1997.