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Volumn 5, Issue 4, 1999, Pages 571-587

An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions

Author keywords

Fractional Brownian motion; Gaussian processes; Maximum likelihood estimator; Prediction; Stochastic integration

Indexed keywords


EID: 0001714525     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318691     Document Type: Article
Times cited : (320)

References (12)
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  • 3
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    • Gripenberg, G.1    Norros, I.2
  • 4
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    • Stochastic and multiple Wiener integrals for Gaussian processes
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    • (1978) Ann. Probab. , vol.6 , pp. 585-614
    • Huang, S.1    Cambanis, S.2
  • 6
    • 0001187166 scopus 로고
    • Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum
    • Kolmogorov, A. (1940) Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum. C.R. (Dokl.) Acad. Sei. USSR (N.S.), 26, 115-118.
    • (1940) C.R. (Dokl.) Acad. Sei. USSR (N.S.) , vol.26 , pp. 115-118
    • Kolmogorov, A.1
  • 8
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B. and Van Ness, J. (1968) Fractional Brownian motions, fractional noises and applications. SIAM Rev., 10, 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.1    Van Ness, J.2
  • 9
    • 0000100522 scopus 로고
    • Gaussian processes with spectra which are asymptqtically equivalent to a power of L TJieory
    • Molchan, G. (1969) Gaussian processes with spectra which are asymptqtically equivalent to a power of L TJieory Probab. Applic., 14, 530-532.
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    • Molchan, G.1
  • 10
    • 0001092940 scopus 로고
    • Gaussian stationary processes with asymptotic power spectrum
    • Molchan, G. and Golosov, J. (1969) Gaussian stationary processes with asymptotic power spectrum. Soviet Math. Dokl., 10, 134-137.
    • (1969) Soviet Math. Dokl. , vol.10 , pp. 134-137
    • Molchan, G.1    Golosov, J.2
  • 11
    • 0003543379 scopus 로고
    • Grundlehren der mathematischen Wissenschaften, 293, Berlin: Springer-Verlag
    • Revuz, D. and Yor, M. (1991) Continuous Martingales and Brownian Motion. Grundlehren der mathematischen Wissenschaften, 293, Berlin: Springer-Verlag.
    • (1991) Continuous Martingales and Brownian Motion
    • Revuz, D.1    Yor, M.2
  • 12
    • 84981441524 scopus 로고
    • On the efficiency of the sample mean in long memory noise
    • Samarov, A. and Taqqu, M. (1988) On the efficiency of the sample mean in long memory noise. J. Time Ser. Anal., 9, 191-200.
    • (1988) J. Time Ser. Anal. , vol.9 , pp. 191-200
    • Samarov, A.1    Taqqu, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.