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Volumn 11, Issue , 2006, Pages 700-722

High-resolution quantization and entropy coding for fractional brownian motion

Author keywords

Complexity; Distortion rate function; Entropy; High resolution quantization; Stochastic process

Indexed keywords


EID: 33747872059     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v11-344     Document Type: Article
Times cited : (22)

References (18)
  • 1
    • 84889281816 scopus 로고
    • Wiley Series in Telecommunications. New York: John Wiley & Sons, Inc
    • T. M. Cover and J. A. Thomas. Elements of information theory. Wiley Series in Telecommunications. New York: John Wiley & Sons, Inc., 1991.
    • (1991) Elements of Information Theory
    • Cover, T.M.1    Thomas, J.A.2
  • 3
    • 0036611931 scopus 로고    scopus 로고
    • Source coding, large deviations, and approximate pattern matching
    • Specialissue on Shannon theory: perspective, trends, and applications
    • A. Dembo and I. Kontoyiannis. Source coding, large deviations, and approximate pattern matching. IEEE Trans. Inform. Theory, 48(6):1590-1615, 2002. Specialissue on Shannon theory: perspective, trends, and applications.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , Issue.6 , pp. 1590-1615
    • Dembo, A.1    Kontoyiannis, I.2
  • 5
    • 27644569802 scopus 로고    scopus 로고
    • Asymptotic behavior of the distortion-rate function for Gaussian processes in Banach spaces
    • S. Dereich. Asymptotic behavior of the distortion-rate function for Gaussian processes in Banach spaces. Bull. Sci. Math., 129(10):791-803, 2005.
    • (2005) Bull. Sci. Math , vol.129 , Issue.10 , pp. 791-803
    • Dereich, S.1
  • 8
    • 0037273827 scopus 로고    scopus 로고
    • On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces
    • S. Dereich, F. Fehringer, A. Matoussi, and M. Scheutzow. On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces. J. Theoret. Probab., 16(1):249-265, 2003.
    • (2003) J. Theoret. Probab , vol.16 , Issue.1 , pp. 249-265
    • Dereich, S.1    Fehringer, F.2    Matoussi, A.3    Scheutzow, M.4
  • 9
    • 23244464008 scopus 로고    scopus 로고
    • Probabilities of randomly centered small balls and quantization in Banach spaces
    • S. Dereich and A. Lifshits. Probabilities of randomly centered small balls and quantization in Banach spaces. Ann. Probab., 33(4):1397-1421, 2005.
    • (2005) Ann. Probab , vol.33 , Issue.4 , pp. 1397-1421
    • Dereich, S.1    Lifshits, A.2
  • 11
    • 0003489629 scopus 로고    scopus 로고
    • Foundations of quantization for probability distributions
    • Berlin: Springer
    • S. Graf and H. Luschgy. Foundations of quantization for probability distributions. Lecture Notes in Mathematics 1730, Berlin: Springer, 2000.
    • (2000) Lecture Notes in Mathematics , vol.1730
    • Graf, S.1    Luschgy, H.2
  • 14
    • 0001461506 scopus 로고
    • Metric entropy and the small ball problem for Gaussian measures
    • J. Kuelbs and W. V. Li. Metric entropy and the small ball problem for Gaussian measures. J. Fund. Anal., 116(1):133-157, 1993.
    • (1993) J. Fund. Anal , vol.116 , Issue.1 , pp. 133-157
    • Kuelbs, J.1    Li, W.V.2
  • 15
    • 70350344396 scopus 로고    scopus 로고
    • Gaussian processes: Inequalities, small ball probabilities and applications
    • Handbook of Statist., North-Holland, Amsterdam
    • W. V. Li and Q.-M. Shao. Gaussian processes: inequalities, small ball probabilities and applications. In Stochastic processes: theory and methods, volume 19 of Handbook of Statist., pages 533-597. North-Holland, Amsterdam, 2001.
    • (2001) Stochastic Processes: Theory and Methods , vol.19 , pp. 533-597
    • Li, W.V.1    Shao, Q.-M.2
  • 16
    • 0037147356 scopus 로고    scopus 로고
    • Functional quantization of Gaussian processes
    • H. Luschgy and G. Pages. Functional quantization of Gaussian processes. J. Funct. Anal., 196(2):486-531, 2002.
    • (2002) J. Funct. Anal , vol.196 , Issue.2 , pp. 486-531
    • Luschgy, H.1    Pages, G.2
  • 17
    • 3042642304 scopus 로고    scopus 로고
    • Sharp asymptotics of the functional quantization problem for Gaussian processes
    • H. Luschgy and G. Pages. Sharp asymptotics of the functional quantization problem for Gaussian processes. Ann. Probab., 32(2):1574-1599, 2004.
    • (2004) Ann. Probab , vol.32 , Issue.2 , pp. 1574-1599
    • Luschgy, H.1    Pages, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.