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Volumn 25, Issue 3, 2007, Pages 641-666

Prediction of fractional Brownian motion-type processes

Author keywords

Fractional Brownian motion; Hurst index; Prediction

Indexed keywords


EID: 34248376050     PISSN: 07362994     EISSN: 15329356     Source Type: Journal    
DOI: 10.1080/07362990701282971     Document Type: Article
Times cited : (4)

References (16)
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    • Anh, V.1    Inoue, A.2
  • 3
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    • Financial markets with memory II: Innovation processes and expected utility maximization
    • Anh, V., Inoue, A., and Kasahara, Y. 2005. Financial markets with memory II: Innovation processes and expected utility maximization. Stochastic Anal. Appl. 23:301-328.
    • (2005) Stochastic Anal. Appl , vol.23 , pp. 301-328
    • Anh, V.1    Inoue, A.2    Kasahara, Y.3
  • 4
    • 34248344763 scopus 로고    scopus 로고
    • Prediction of fractional Brownian motion-type processes with long-range dependence
    • In preparation
    • Anh, V., Inoue, A., and Kasahara, Y. 2006. Prediction of fractional Brownian motion-type processes with long-range dependence. In preparation.
    • (2006)
    • Anh, V.1    Inoue, A.2    Kasahara, Y.3
  • 7
    • 0000269741 scopus 로고
    • On the equations of stationary processes with divergent diffusion coefficients
    • Inoue, A. 1993. On the equations of stationary processes with divergent diffusion coefficients. J. Fac. Sci. Univ. Tokyo Sec. IA 40:307-336.
    • (1993) J. Fac. Sci. Univ. Tokyo Sec. IA , vol.40 , pp. 307-336
    • Inoue, A.1
  • 8
    • 33746208453 scopus 로고    scopus 로고
    • Regularly varying correlation functions and KMO-Langevin equations
    • Inoue, A. 1997. Regularly varying correlation functions and KMO-Langevin equations. Hokkaido Math. J. 26:1-26.
    • (1997) Hokkaido Math. J , vol.26 , pp. 1-26
    • Inoue, A.1
  • 9
    • 33746227394 scopus 로고    scopus 로고
    • Explicit representation of finite predictor coefficients and its applications
    • Inoue, A., and Kasahara, Y. 2006. Explicit representation of finite predictor coefficients and its applications. Ann. Statist. 34:973-993.
    • (2006) Ann. Statist , vol.34 , pp. 973-993
    • Inoue, A.1    Kasahara, Y.2
  • 10
    • 0030502739 scopus 로고    scopus 로고
    • On the prediction of fractional Brownian motion
    • Gripenberg, G., and Norros, I. 1996. On the prediction of fractional Brownian motion. J. Appl. Probab. 33:400-410.
    • (1996) J. Appl. Probab , vol.33 , pp. 400-410
    • Gripenberg, G.1    Norros, I.2
  • 11
    • 0034339295 scopus 로고    scopus 로고
    • Linear estimation of self-similar processes via Lamperti's transformation
    • Nuzman, C.J., and Poor, H.V. 2000. Linear estimation of self-similar processes via Lamperti's transformation. J. Appl. Probab. 37:429-452.
    • (2000) J. Appl. Probab , vol.37 , pp. 429-452
    • Nuzman, C.J.1    Poor, H.V.2
  • 14
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    • The prediction theory of multivariate stationary processes II
    • Wiener, N., and Masani, P.R. 1958. The prediction theory of multivariate stationary processes II. Acta. Math. 99:93-137.
    • (1958) Acta. Math , vol.99 , pp. 93-137
    • Wiener, N.1    Masani, P.R.2
  • 15
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    • Correlation theory of processes with random stationary nth increments
    • in Russian
    • Yaglom, A.M. 1955. Correlation theory of processes with random stationary nth increments. Mat. Sb. N.S. 37:141-196 (in Russian).
    • (1955) Mat. Sb. N.S , vol.37 , pp. 141-196
    • Yaglom, A.M.1
  • 16
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    • English translation in Am. Math. Soc. Translations Ser. (2) 8 (1958), 87-141.
    • English translation in Am. Math. Soc. Translations Ser. (2) 8 (1958), 87-141.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.