• DocumentCode
    1134146
  • Title

    A relation between Kolmogorov-Prokhorov´s condition and Ohya´s fractal dimensions

  • Author

    Akashi, Shigeo

  • Author_Institution
    Dept. of Inf. Sci., Shonan Inst. of Technol., Kanagawa, Japan
  • Volume
    38
  • Issue
    5
  • fYear
    1992
  • fDate
    9/1/1992 12:00:00 AM
  • Firstpage
    1567
  • Lastpage
    1570
  • Abstract
    A computational method giving upper bounds of ∈-entropy of stochastic processes satisfying Kolmogorov-Prokhorov´s condition is studied, in terms of Shannon´s entropy of the probability measures on C[0,1] induced by these processes. Moreover, this method and Ohya´s fractal dimensions are applied to investigating the asymptotic behavior of ∈-entropy of such processes
  • Keywords
    entropy; fractals; information theory; probability; stochastic processes; ∈-entropy; Kolmogorov-Prokhorov´s condition; Ohya´s fractal dimensions; Shannon´s entropy; asymptotic behavior; information theory; probability measures; stochastic processes; upper bounds; Entropy; Extraterrestrial measurements; Fractals; Linear code; Probability density function; Quantum mechanics; Random variables; Stochastic processes; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.149508
  • Filename
    149508
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1134146