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Volumn 11, Issue 4, 2001, Pages 1199-1219

Reproducing kernel Hilbert space methods for wide-sense self-similar processes

Author keywords

Detection; Estimation; Fractional Brownian motion; Innovations; Lamperti's transformation; Mellin transform; Reproducing kernel Hilbert space; Self similar

Indexed keywords


EID: 0035497811     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015345400     Document Type: Article
Times cited : (7)

References (23)
  • 1
    • 0032389950 scopus 로고    scopus 로고
    • On extremal theory for self-similar processes
    • ALBIN, J. M. P. (1998). On extremal theory for self-similar processes. Ann. Probab. 26 743-793.
    • (1998) Ann. Probab. , vol.26 , pp. 743-793
    • Albin, J.M.P.1
  • 2
    • 0024078858 scopus 로고
    • Signal detection in fractional Gaussian noise
    • BARTON, R. J. and POOR, H. V. (1988). Signal detection in fractional Gaussian noise. IEEE Trans. Inform. Theory 34 943-959.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 943-959
    • Barton, R.J.1    Poor, H.V.2
  • 3
    • 0002900857 scopus 로고    scopus 로고
    • The Lamperti transformation for self-similar processes
    • BURNECKI, K., MAEJIMA, M. and WERON, A. (1997). The Lamperti transformation for self-similar processes. Yokohama Math. J. 44 25-42.
    • (1997) Yokohama Math. J. , vol.44 , pp. 25-42
    • Burnecki, K.1    Maejima, M.2    Weron, A.3
  • 4
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis of the fractional Brownian motion
    • DECREUSEFOND, L. and ÜSTÜNEL, A. S. (1999). Stochastic analysis of the fractional Brownian motion. Potential Anal. 10 177-214.
    • (1999) Potential Anal. , vol.10 , pp. 177-214
    • Decreusefond, L.1    Üstünel, A.S.2
  • 6
    • 0000716144 scopus 로고
    • On linear statistical problems in stochastic processes
    • HÁJEK, J. (1962). On linear statistical problems in stochastic processes. Czechoslovak Math. J. 12 404-444.
    • (1962) Czechoslovak Math. J. , vol.12 , pp. 404-444
    • Hájek, J.1
  • 7
    • 0015125548 scopus 로고
    • An RKHS approach to detection and estimation problems. Part I. Deterministic signals in Gaussian noise
    • KAILATH, T. (1971). An RKHS approach to detection and estimation problems. Part I. Deterministic signals in Gaussian noise. IEEE Trans. Inform. Theory 17 530-549.
    • (1971) IEEE Trans. Inform. Theory , vol.17 , pp. 530-549
    • Kailath, T.1
  • 8
  • 9
    • 84968515060 scopus 로고
    • Semi-stable stochastic processes
    • LAMPERTI, J. (1962). Semi-stable stochastic processes. Trans. Amer. Math. Soc. 104 62-78.
    • (1962) Trans. Amer. Math. Soc. , vol.104 , pp. 62-78
    • Lamperti, J.1
  • 11
    • 84937652446 scopus 로고
    • Self-similar error clusters in communications systems and the concept of conditional stationarity
    • MANDELBROT, B. B. (1965). Self-similar error clusters in communications systems and the concept of conditional stationarity. IEEE Trans. Comm. Technol. 13 71-90.
    • (1965) IEEE Trans. Comm. Technol. , vol.13 , pp. 71-90
    • Mandelbrot, B.B.1
  • 12
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises, and applications
    • MANDELBROT, B. 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.B.1    Van Ness, J.2
  • 13
    • 0001092940 scopus 로고
    • Gaussian stationary processes with asymptotic power spectrum
    • MOLČAN, G. M. and GOLOSOV, J. I. (1969). Gaussian stationary processes with asymptotic power spectrum. Soviet Math. Dokl. 10 134-137.
    • (1969) Soviet Math. Dokl. , vol.10 , pp. 134-137
    • Molčan, G.M.1    Golosov, J.I.2
  • 15
    • 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
  • 16
    • 0007375021 scopus 로고
    • Probability density functionals and reproducing kernel Hilbert spaces
    • (M. Rosenblatt, ed.). Wiley, New York
    • PARZEN, E. (1963). Probability density functionals and reproducing kernel Hilbert spaces. In Proceedings of the Symposium on Time Series Analysis (M. Rosenblatt, ed.). Wiley, New York.
    • (1963) Proceedings of the Symposium on Time Series Analysis
    • Parzen, E.1
  • 18
    • 0027681362 scopus 로고
    • Fractional Brownian motion models for synthetic aperture radar imagery scene segmentation
    • STEWART, C. V., MOGHADDAM, B., HINTZ, K. J. and NOVAK, L. M. (1993). Fractional Brownian motion models for synthetic aperture radar imagery scene segmentation. Proc. IEEE 81 1511-1521.
    • (1993) Proc. IEEE , vol.81 , pp. 1511-1521
    • Stewart, C.V.1    Moghaddam, B.2    Hintz, K.J.3    Novak, L.M.4
  • 23
    • 0031075520 scopus 로고    scopus 로고
    • A class of second-order stationary self-similar processes for 1/f phenomena
    • YAZICI, B. and KASHYAP, R. L. (1997). A class of second-order stationary self-similar processes for 1/f phenomena. IEEE Trans. Signal Process. 45 396-410.
    • (1997) IEEE Trans. Signal Process. , vol.45 , pp. 396-410
    • Yazici, B.1    Kashyap, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.